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《Sichuan Building Science》 2013-05
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Precise integration method of restrained torsion analysis of rectangular box shaped beam

HU Qiping;LIANG Xiaolong;GUO Xiao;College of Civil Engineering,Hebei University of Engineering;  
Under the premise of the consistency theory of the thin-walled bar's restrained torsion,the torsional angle φ(z) and warp θ(z) of the section are taken as the primary unknown functions.By introducing dual variables,Hamiltonian dual system for the analysis of restrained torsion of rectangular box shaped beam is constituted,then control equations(Hamiltonian canonical equations) of the problem are derived.The system matrix in the equations has characteristics of the symplectic matrix,then numerical solutions with high accuracy are often obtained with the precise integration method.And it is the application of Hamiltonian mechanics in the restrained torsion analysis of thin-walled structure.It is hightly accurate and easy to accept with a simple and clear mathematic derivation as well as efficient numerical algorithms.It supplies a new way to solve problems.
【Fund】: 河北省自然科学基金资助项目(E2011402057)
【CateGory Index】: U448.213
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