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The Finite Element Method for the Analysis of Non-Linear and ...

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<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

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