The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>Element</strong> Matrices<br />
<strong>The</strong> general matrix equations vector depend on <strong>the</strong> assumed type <strong>of</strong><br />
analysis <strong>and</strong> <strong>the</strong> approach<br />
A) Material nonlinearity<br />
Static <strong>Analysis</strong><br />
t<br />
KU = t+∆t R − t F<br />
Dynamic <strong>Analysis</strong>, Implicit Integration scheme<br />
M t+∆t Ü + t KU = t+∆t R − t F<br />
Dynamic <strong>Analysis</strong>, Explicit Integration scheme<br />
M t Ü = t R − t F<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 8