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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane 
%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
%  \usetheme{Berkeley} % ima sadrzaj desno
%  \usetheme{Berlin} % ima sadrzaj gore i tackice
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
%  \usetheme{Montpellier} % ima graf sadrzaj gore
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%  \usecolortheme{seagull} % sivo
%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
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\usepackage[english]{babel}

%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF 
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF 
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% or whatever

\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.


\title[The Plastic Domain Decomposition for Soil Foundation
                       Structure Interaction Computations]
% (optional, use only with long paper titles)
{The Plastic Domain Decomposition for \\ 
Soil Foundation Structure Interaction Computations}

%\subtitle
%{{\tiny full set of slides available at:}\\
%%\verb{http://sokocalo.engr.ucdavis.edu/~jeremic/}
%}

\pgfdeclareimage[height=0.15cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}

%\author[Boris Jeremi{\'c}, CompGeoMech \includegraphics[width=8cm]{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}] % (optional, use only with lots of authors)
\author[Jeremi{\'c}] % (optional, use only with lots of authors)
{\Large Boris~Jeremi{\'c} and Guanzhou Jie}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.

\institute[Computational                   Geomechanics                   Group
\pgfuseimage{university-logo} \hspace*{-0.3truecm}] % (optional, but mostly needed)
{
 Department of Civil and Environmental Engineering\\
  University of California, Davis, U.S.A. 
  }
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.

\date[] % (optional, should be abbreviation of conference name)
{
%\small Graduate Student: Guanzhou Jie 
%\\ ~\\
%Funding: NSF--CMS--0324661, NSF--TeraGrid, NSF--EEC--9701568 \\
%%\texttt{http://sokocalo.engr.ucdavis.edu/$\tilde{~}$jeremic/}
}
% - Either use conference name or its abbreviation.
% - Not really informative to the audience, more for people (including
%   yourself) who are reading the slides online

\subject{}
% This is only inserted into the PDF information catalog. Can be left
% out. 



% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:

%\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}
%\logo{\pgfuseimage{university-logo}}

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
% \logo{\pgfuseimage{university-logo}}



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%     \frametitle{Outline}
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  \titlepage
\end{frame}

\begin{frame}
  \frametitle{Outline}
  \tableofcontents
  % You might wish to add the option [pausesections]
\end{frame}


% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
% solution: 

% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you
%   are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
%   enough. Leave out details, even if it means being less precise than
%   you think necessary.
% - If you omit details that are vital to the proof/implementation,
%   just say so once. Everybody will be happy with that.

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\section{Hypothesis}


\subsection{ESS System Evolution}
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\begin{frame}
 \frametitle{ESS Hypothesis}

\begin{itemize}
  

  \item  NEHRP-94 seismic code states that:
%
{\it ''These  [seismic]  forces therefore can be evaluated conservatively without
the adjustments recommended in Sec. 2.5 [i.e. for SS interaction effects]''}.

\vspace*{0.10cm}
  \item    Flexibility  (elastic)   of  foundations   and soils modifies dynamic
  properties of the SS system (Gazetas  and Mylonakis)
  
\vspace*{0.10cm}
  \item  Reduction  in stiffness (elasto--plasticity) of the SS system modifies
  those dynamic properties even more so

\vspace*{0.10cm}
%\vspace*{0.3cm}
      \item Earthquake intensity increase, SS system period is elongated 
\vspace*{0.10cm}
%\vspace*{0.3cm}
      \item Earthquake period and 
      SS period might (will) coincide 


\end{itemize}
%\vspace*{-2.0cm}
\end{frame}


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%\subsection{}
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\begin{frame}
 \frametitle{ESS System Energy Balance}

\begin{itemize}
  

%\vspace*{0.50cm}
  \item Energy balance: input (seismic) and dissipated (inelasticity, radiation,
  coupling) will control the fate of ESS system




\vspace*{0.50cm}
      \item If energy dissipation $>$ input  $\Rightarrow$ probably small damage 

\vspace*{0.50cm}
      \item If energy dissipation $<$ input $\Rightarrow$ probably large damage 

\end{itemize}
%\vspace*{-2.0cm}
\end{frame}


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\begin{frame}
  \frametitle{Modeling ESS System}
    \begin{itemize}


%
%\vspace*{0.3cm}
      \item  Structural  response is a  function  of  a tightly coupled triad of dynamic
      characteristic of
       \begin{itemize}
         \item Earthquake 
         \item Soil
         \item Structure 
       \end{itemize}

\vspace*{0.2cm}
  \item Use detailed numerical models to analyze prototype models


\vspace*{0.2cm}
  \item Detailed numerical models require advancement in
  
    \begin{itemize}
       
       \item Modeling techniques

       \item Computational (software) methodology

       \item Computer hardware (accessible parallel computers)

    \end{itemize}
    

         
    \end{itemize}



\end{frame}















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\section{Computational Platform}


\subsection{Software Component}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
   \frametitle{Parallel Elastic--Plastic Finite Element Computations}
   
\begin{itemize}
 
%\vspace*{0.4cm}
  \item Current Parallel FEM are 
   \begin{itemize}
     \item Well developed for elastic FEM
     \item Undeveloped for elastic--plastic FEM

     \item Well developed for homogeneous distributed memory parallel (DMP) computers, 
  
     \item Undeveloped for multiple performance (multi--generation) DMPs
   \end{itemize}


  \item Need: dynamic computational load balancing for
    \begin{itemize}
    \item multiple element types, 
    \item multiple material models
    \item multiple compute node performances
    \item multiple network 
     performances
  \end{itemize}



\end{itemize}




\end{frame}
% 

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\begin{frame}
   \frametitle{Plastic Domain Decomposition (PDD) Method}




   \begin{itemize}
 
%\vspace*{0.4cm}
  \item  Multi-objective optimization
  problem (minimize  both  the  inter-processor communications, the data
  redistribution  costs  and  create balanced  partitions)

\vspace*{0.4cm}
  \item computational load balancing adds overhead
           $T_{overhead} := T_{comm} + T_{regen}$
     \begin{itemize}
       
\vspace*{0.1cm}
       \item  $T_{comm}$  data      communication  load  depending  on  network
       conditions.
        
\vspace*{0.1cm}
       \item  $T_{regen}$  model  regeneration for new partitioning, application
       (model) dependent

     \end{itemize}


   \end{itemize}






\end{frame}
% 
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\begin{frame}
   \frametitle{PDD Optimization Model}




   \begin{itemize}
 
  
  \item Computional load among CPUs $T_j := \sum_{i=1}^{nel}ElemCompLoad[i],
  \;\; 
  j=1,...,nCPU$

\vspace*{0.2cm}
  \item Goal: minimize maximum compute time (slowest CPU) $T_{max}  :=  max(T_j)\;\; j=1,...,nCPU $

%
%  \item Goal: minimize $T_{max}$ as it controls  the total wall clock time

\vspace*{0.2cm}
  \item Total compute time (not wall clock time) $T_{sum}  :=  sum(T_j)$
  
\vspace*{0.2cm}
  \item Best execution time (perfect load balancing) $T_{best} := T_{sum}/nCPU, \;
  \Rightarrow \; T_j \equiv T_{best}\;\;\mbox{for each}\;\; j=1,...,nCPU$


\vspace*{0.2cm}
  \item Best performance gain $T_{gain} := T_{max} - T_{best}$

\vspace*{0.2cm}
  \item Computational load balancing is beneficial iff 
         $T_{gain} \ge T_{overhead} = T_{comm} + T_{regen}$


   \end{itemize}






\end{frame}
% 

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\begin{frame}
   \frametitle{PDD Implementation}
   \begin{itemize}
 
%\vspace*{0.4cm}

\vspace*{0.2cm}
  \item  ParMETIS dynamic graph partitioning libraries (Karypis et al.) 
  
  
\vspace*{0.2cm}
  \item PETSc solvers (Balay et al.)

\vspace*{0.2cm}
  \item UCD upgraded OpenSees analysis model (Jie and Jeremi{\'c}, McKenna)
  

\vspace*{0.2cm}
  \item UCD  CompGeoMech  libraries (elements, material models, algorithms,...)


%\vspace*{0.4cm}
%     \item Adaptive domain repartitioning 
%     depending on compute node and network performance
%\vspace*{0.4cm}
%      \item  Available  for  all  elements  (solid, structural) that provide the
%      standard OpenSees interface (sendSelf, RecvSelf, timer or CL weight estimate)

%%\vspace*{0.4cm}
%  \item Works on SMPs, local DMPs, grids of computers
  
%\vspace*{0.4cm}
\vspace*{0.2cm}
       \item Scalable to a large number of CPUs (2--1024 or more)
  
%\vspace*{0.4cm}
\vspace*{0.2cm}
    \item Performance tuning and 
    production runs on 
    my cluster GeoWulf (UCD),  
    LongHorn (TACC) and DataStar (SDSC)

   \end{itemize}




\end{frame}
% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Simple PDD Example}

\begin{itemize}

  \item  FEM model for soil \\
        foundation Interaction \\
        (4,938 Elements, \\
        17,604 DOFs)

%\vspace*{0.2cm}
  \item Elastic--plastic soil

%\vspace*{0.2cm}
  \item Mild evolution of \\
        elastic--plastic zone


  \item Minimizing data \\ 
        redistribution
 
  \item Allowing higher \\ 
        tolerance for edge-cut
 
  \item Imbalance tolerance 5~\%

\end{itemize}




\vspace*{-6cm}
\begin{figure}[!htbp]
%\begin{center}
\hspace*{5.5cm}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/5K_Shallow_Mesh.jpg}
%\caption{\label{fig:5k_mesh}    Finite    Element    Model   of
%Soil-Foundation Interaction (4,938 Elements, 17,604 DOFs)}
%%\end{center}
\end{figure}



\end{frame}
%-- 


%-- 

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\begin{frame}
  \frametitle{2 CPU  PDD Partitioning--Repartitioning Example}


  
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_2proc_pdd_1.jpg}
\hfill
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_2proc_pdd_final.jpg}
%\caption{\label{fig:5k_2proc} 4,938 Elements, 17,604 DOFs Model, 2 CPUs, PDD Partition/Repartition, ITR=1e-3, Imbal Tol 5\%}
\end{center}
\end{figure}


\end{frame}
%-- 


%-- 
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\begin{frame}
  \frametitle{4 CPU  PDD Partitioning--Repartitioning Example}


  
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_4proc_pdd_1.jpg}
\hfill
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_4proc_pdd_final.jpg}
%\caption{\label{fig:5k_4proc} 4,938 Elements, 17,604 DOFs Model, 4 CPUs, PDD Partition/Repartition, ITR=1e-3, Imbal Tol 5\%}
\end{center}
\end{figure}


\end{frame}
%-- 


%-- 
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\begin{frame}
  \frametitle{8 CPU  PDD Partitioning--Repartitioning Example}

\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_8proc_pdd_1.jpg}
\hfill
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDresults/5k_8proc_pdd_final.jpg}
%\caption{\label{fig:5k_8proc} 4,938 Elements, 17,604 DOFs Model, 8 CPUs, PDD Partition/Repartition, ITR=1e-3, Imbal Tol 5\%}
\end{center}
\end{figure}


\end{frame}
%-- 


%-- 




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Speedup Overview}
  


\vspace*{-0.6cm}
%
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=10truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDDSpeedup.pdf}
\end{center}
\end{figure}


\end{frame}
%-- 


%-- 




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Speedup Overview}
%
\vspace*{-0.6cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=10truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/PDD_AbsoluteSpeedup_full.pdf}
\end{center}
\end{figure}

\end{frame}
%-- 


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\subsection{Hardware Component}


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Parallel Computer GeoWulf}
%     \begin{itemize}
% %\vspace*{0.2cm}
%       \item Distributed memory \\
%             parallel computer
% %\vspace*{0.2cm}
% 
%       \item Multiple generation \\
%       compute nodes \\ 
%       and networks
% %\vspace*{0.2cm}
% 
%       \item Very cost effective!
% %\vspace*{0.2cm}
% 
%       \item Same architecture as \\
%             large parallel supercomputers \\
%             (SDSC, TACC, EarthSimulator...)
% %\vspace*{0.2cm}
% 
%       \item Local design, construction, \\
%       available at all times!
% %\vspace*{0.2cm}
% 
% %      \item 
% %%\vspace*{0.2cm}
% 
%     \end{itemize}
% 
% %
% \vspace*{-5.6cm}
% \begin{figure}[!htbp] 
% \hspace*{6cm}
% %\begin{center}
% \includegraphics[width=4truecm]{/home/jeremic/public_html/GeoWulf/Dec2006/IMG_0907.jpg}
% \\
% \hspace*{6cm}
% \includegraphics[width=4truecm]{/home/jeremic/public_html/NSF-Nuggets/Students_develop_parallel_computer/StudentsConstructingGeoWulf.jpg}
% %\end{center}
% \end{figure}
% 
% 
% 
% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Parallel Supercomputer GeoWulf}
    \begin{itemize}
\vspace*{0.2cm}
      \item Distributed memory 
            parallel computer
\vspace*{0.2cm}

      \item Multiple generation 
      compute nodes 
      and networks
\vspace*{0.2cm}

      \item Very cost effective!
\vspace*{0.2cm}

      \item Same architecture as 
            large parallel supercomputers 
            (SDSC, TACC, EarthSimulator...)
\vspace*{0.2cm}

      \item Local design, construction,
      available at all times!
\vspace*{0.2cm}

%      \item 
%%\vspace*{0.2cm}

    \end{itemize}


\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{GeoWulf: Parallel Supercomputer Architecture}


%
%\vspace*{-0.6cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=11truecm]{/home/jeremic/tex/works/psfigures/ParallelGeoWulf07.pdf}
%\hspace*{0.1cm}
%\includegraphics[width=3truecm]{/home/jeremic/public_html/NSF-Nuggets/Students_develop_parallel_computer/StudentsConstructingGeoWulf.jpg}
\end{center}
\end{figure}






\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{GeoWulf: Demistifying Parallel Supercomputing}

%
%\vspace*{-5.6cm}
\begin{figure}[!htbp] 
%\hspace*{6cm}
%\begin{center}
\includegraphics[width=8truecm]{/home/jeremic/public_html/GeoWulf/Dec2006/IMG_0907.jpg}
%\hfill
%%\hspace*{6cm}
%\includegraphics[width=6truecm]{/home/jeremic/public_html/NSF-Nuggets/Students_develop_parallel_computer/StudentsConstructingGeoWulf.jpg}
%\end{center}
\end{figure}



\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{GeoWulf: Local Development}

%
%\vspace*{-5.6cm}
\begin{figure}[!htbp] 
%\hspace*{6cm}
%\begin{center}
%\includegraphics[width=6truecm]{/home/jeremic/public_html/GeoWulf/Dec2006/IMG_0907.jpg}
%\hfill
%%\hspace*{6cm}
\includegraphics[width=8truecm]{/home/jeremic/public_html/NSF-Nuggets/Students_develop_parallel_computer/StudentsConstructingGeoWulf.jpg}
%\end{center}
\end{figure}



\end{frame}


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\section{ESS Case Study}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{High Fidelity, 3D Models}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\begin{frame}
 \frametitle{Detailed 3D FEM Model (one of)}

%
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8.0cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\hspace*{-0.9cm}
%bridge.}
\end{center}
\end{figure}
%
\end{frame}
%- 
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
 \frametitle{Model Components}

%
\begin{itemize}
 \item   Soils:   elastic--plastic   solids   (yield   land   potential  surface
 Drucker-Prager, kinematic hardening Armstrong-Frederick) (UCD: Jie and Jeremi{\'c})
\vspace*{0.2cm}
 \item Structure non--linear  beam--column elements (fiber element) 
  (UCB: Fenves, UW: Eberhardt) 

\vspace*{0.2cm}
  \item Piles: non--linear  beam--column elements (fiber element) (UCD: Jie and Jeremi{\'c})


\vspace*{0.2cm}
  \item Two types of soil: stiff soil (UT, UCD), soft soil (Bay Mud)

\vspace*{0.2cm}
  \item  Use of the Domain Reduction Method (DRM) (Bielak et al.) for seismic
  input into FEM model


\end{itemize}

\end{frame}
%- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Modeling Issues}

   \begin{itemize}

\vspace*{0.2cm}
  \item Construction process

\vspace*{0.2cm}
  \item Deconvolution of given surface ground motions

\vspace*{0.2cm}
  \item No artificial damping (only mat. dissipation, radiation)

\vspace*{0.2cm}
  \item Element size issues (filtering of frequencies) 

\vspace*{-0.4cm}
\begin{table}[!htbp]
%\caption{ }
\begin{center}
\begin{tabular}{|r|c|c|c|c|} 
\hline
elem. \# &  elem.  size  &  $f_{cutoff}$  & min. $G^{ep}/Gmax$ & $\gamma$  \\
\hline
%
%
% 100cm element model, f_cuttof=10HZ, G/Gmax=1.0, 12K elements, Gmax model
12K         &  1.00~m          &  10~Hz      & 1.0      & <0.5~\% \\
%
%
%~90cm element model, f_cutoff ~= 3Hz, G/Gmax~=0.08, for epsilon ~= 1%, 15K
%elements, now running...
15K         &  0.90~m          &  >3~Hz     & 0.08            & <1.0~\% \\
%
%
%27.6cm element model, f_cutoff= 10HZ, G/Gmax=0.08, for epsilon = 1%, 150K
%elements, finest model
150K        &  0.30~m          &  10~Hz      & 0.08            & <1.0~\% \\
500K        &  0.15~m          &  10~Hz      & 0.02            & <5.0~\% \\
% 27.6cm element model, f_cutoff= 10HZ, G/Gmax=0.08, for epsilon = 1%, 150K
%elements, finest model
\hline
\end{tabular}
\end{center}
\end{table}

  \end{itemize}


\end{frame}
%- 
%-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%-
%-\begin{frame}
%- \frametitle{FEM Mesh (one of)}
%-
%-%
%-\begin{figure}[!htbp] 
%-\begin{center}
%-\includegraphics[width=8cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%-%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%-%bridge.}
%-\end{center}
%-\end{figure}
%-%
%-\end{frame}
%- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\subsection{Northridge and Kocaeli Earthquakes}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Northridge and Kocaeli Input Motions}


\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge.pdf}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge_Spectrum.pdf}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli_Spectrum.pdf}
\hspace*{-1cm}
%bridge.}
\end{center}
\end{figure}
%

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
  \frametitle{Simulation Results}


\vspace*{-0.5cm}
%\begin{landscape}
\begin{figure}[!htbp]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock3.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent3.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock3.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent3.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock3_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent3_Spectrum.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock3_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent3_Spectrum.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent1Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent1Pile2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent2Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent2Pile2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent3Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent3Pile2.pdf}
\hspace*{-1cm}
\end{center}
\end{figure}

\vspace*{-0.8cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=3.2cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{center}
\end{figure}
\vspace*{-2cm}


\clearpage




\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\subsection{Behavior for Short Period Motions}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Northridge Input Motions}


\vspace*{-0.7cm}
\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge_Spectrum.pdf}
\hspace*{-1cm}
%bridge.}
\end{center}
\end{figure}
\vspace*{-1.0cm}
%

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispBent1.pdf}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1.pdf}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}



\end{frame}
%-- 




% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Short Period E.:  Left Bent, Structure and Soil, Acc.}
%   
% 
% 
% 
% \vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelBent1.pdf}
% \\
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelSoilBlock1.pdf}
% %bridge.}
% \end{center}
% \end{figure}
% 
% 
% \vspace*{-2.9cm}
% \hspace*{0.2cm}
% \begin{figure}[!htbp] 
% \begin{flushright}
% \includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
% %bridge.}
% \end{flushright}
% \end{figure}
% \hspace*{-0.5cm}
% \vspace*{-2.0cm}
% 
% \end{frame}
% %-- 
% 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, Acc.Sp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelBent1_Spectrum.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelSoilBlock1_Spectrum.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, M.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile2.pdf}
%bridge.}
\end{center}
\end{figure}




\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Bending Moments}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=11cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile1_25s_SC.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Free Field vs Real Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=11cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1_15cm_25s_SC.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\subsection{Behavior in Long Period Motions}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Kocaeli Input Motions}


\vspace*{-0.7cm}
\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli_Spectrum.pdf}
\hspace*{-1cm}
%bridge.}
\end{center}
\end{figure}
%
\vspace*{-1cm}

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Long Period E.: Left Bent, Bending Moments.}
  



%\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/MomentBent1Pile1.pdf}
%\\
\includegraphics[width=11cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/MomentBent1Pile2.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Long Period E.: Left Bent, Structure and Soil, Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/DispBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/DispSoilBlock1.pdf}
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}



\end{frame}





% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Long Period E.: Left Bent, Structure and Soil, Acc.}
%  
% 
% 
% 
% %\vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelBent1.pdf}
% \\
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelSoilBlock1.pdf}
% %bridge.}
% \end{center}
% \end{figure}
% 
% 
% 
% \vspace*{-2.9cm}
% \hspace*{0.2cm}
% \begin{figure}[!htbp] 
% \begin{flushright}
% \includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
% %bridge.}
% \end{flushright}
% \end{figure}
% \hspace*{-0.5cm}
% \vspace*{-2.0cm}
% 
% 
% \end{frame}
% 
% 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Long Period E.: Left Bent, Structure and Soil, Acc.Sp.}
%  
% 
% 
% 
% %\vspace*{1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelBent1_Spectrum.pdf}
% \\
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelSoilBlock1_Spectrum.pdf}
% %bridge.}
% \end{center}
% \end{figure}
% 
% 
% \vspace*{-2.9cm}
% \hspace*{0.2cm}
% \begin{figure}[!htbp] 
% \begin{flushright}
% \includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
% %bridge.}
% \end{flushright}
% \end{figure}
% \hspace*{-0.5cm}
% \vspace*{-2.0cm}
% 
% 
% \end{frame}
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Soft Soils: Left Bent, Structure and Soil, Moments}
%   
% 
% 
% 
% %\vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile1_25s_SC.pdf}
% %bridge.}
% \end{center}
% \end{figure}
% \vspace*{-2cm}
% 
% 
% \end{frame}
% %-- 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Soft Soils: Left Bent, Free Field vs Real Displacements}
%   
% 
% 
% 
% \vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1_15cm_25s_SC.pdf}
% %bridge.}
% \end{center}
% \end{figure}
% \vspace*{-2cm}
% 
% 
% \end{frame}
% %-- 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Summary}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Summary}
  
  \begin{itemize}

%\vspace*{0.2cm}
    \item High fidelity numerical 
    models of ESS systems 
    

\vspace*{0.2cm}
    \item High performance 
    computational tools (software and 
    hardware) developed and available

\vspace*{0.2cm}
    \item {\bf Matching Triad}: 
    \underline{Earthquake}, 
    \underline{Soil} and 
    \underline{Structure}  
    ({\bf ESS}) interaction determines 
          possible benefits or detriments

\vspace*{0.2cm}
    \item Program sources and tools
    available in public domain (GPL)
    at Author's web site



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