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| Method of directly integrating nonlinear frame load matrix based on integration factors |
| Revised:December 24, 2001 |
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| DOI：10.7511/jslx20034093 |
| KeyWord:nonlinear beam,load matrix |
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| Abstract: |
| Method directly based on integration factors is now deve loped to for m the load matrix of nonlinear beam. The method expresses the inner force of non line ar beam excited by distributing load as the combination of two parts: the one is a linear function with unknown constants of the nodal moment, and the other is a kn own function just determined by the distributing load itself. Both functions can be separately integrated as many constant factors. With the boundary conditions of two nodes, the unknown constants of the first linear function can be express ed b y those integration factors, and so far the whole function of inner force and th e load matrix of nonlinear beam are gained. The method never adopts any hypothes is and is analytic and accurate. It is to fit for all kind of nonlinear frame wi th the arbitrary distributing load to gain load matrix. The results are more acc urate than that the Guass numerical integration for beams with the un-continu al nonlinear stiffness or un-continual distributing load. |
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