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Sensitivity analysis based numerical solution for truss structures with bi-modulus |
Received:April 09, 2009 Revised:January 23, 2010 |
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DOI:10.7511/jslx201102015 |
KeyWord:bi-modulus smoothing functions newton-raphson algorithm,truss |
Author | Institution |
杨海天 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 |
张晓月 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 |
何宜谦 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 |
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Abstract: |
A new smoothed elastic bi-modular constitutive relationship is presented, therefore the sensitivity of stiffness matrix with respect to displacement and the sensitivity of displacement with respect to elastic modulus can be obtained conveniently. A FEM and sensitivity analysis based numerical model is developed for elastic 1D continuum and truss structures with dual extensional/compressive modulus, and Newton-Raphson algorithm is employed in the solution process. A number of numerical examples are given to verify the proposed algorithm with high computing accuracy and efficiency. |