Analytical Solution for Solving Bending Problem of Orthotropic Beams

You Zhen Yang; Han Lin Ma; Hu Wang

doi:10.4028/www.scientific.net/AMR.1065-1069.2044

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1065-1069Analytical Solution for Solving Bending Problem of...

Analytical Solution for Solving Bending Problem of Orthotropic Beams

Abstract:

Based on the two-dimensional theory of elasticity, Hamiltonian system is introduced to solve the bending of orthotropic beams and the original problems come down to solve the eigensolutions of zero eigenvalue. The symplectic concept makes no hypothesis of deformation along the thickness direction. Thus, the current method can precisely analyze beams with arbitrary depth-to-length ratio, and can deal with arbitrary end conditions. In additional, a new improved boundary conditions for fixed ends beam is presented. Numerical examples showing comparison with other methods are given to illustrate the accuracy of the present approach.

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Periodical:

Advanced Materials Research (Volumes 1065-1069)

Pages:

2044-2048

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1065-1069.2044

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Online since:

December 2014

Authors:

You Zhen Yang*, Han Lin Ma, Hu Wang

Keywords:

Analytical Solution, Beam, Orthotropic

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