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 ...
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Special Considerations-Geometric Stiffness<br />
An alternate approach to <strong>the</strong> Large Displacement Problem <strong>for</strong> practical<br />
considerations (namely truss, beam problems)<br />
A cable, when subjected to a large tension <strong>for</strong>ce, has an increased lateral stiffness.<br />
If a long rod is subjected to a large compressive <strong>for</strong>ce, <strong>and</strong> is on <strong>the</strong> verge <strong>of</strong><br />
buckling, we know that <strong>the</strong> lateral stiffness <strong>of</strong> <strong>the</strong> rod has been reduced<br />
significantly <strong>and</strong> a small lateral load may cause <strong>the</strong> rod to buckle. This general<br />
type <strong>of</strong> behavior is caused by a change in <strong>the</strong> “geometric stiffness <strong>of</strong> <strong>the</strong><br />
structure. This stiffness is a function <strong>of</strong> <strong>the</strong> load in <strong>the</strong> structural member <strong>and</strong><br />
can be ei<strong>the</strong>r positive or negative.<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 49