高次せん断変形理論に基づくはり要素

概要

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The finite element models of the Euler-Bernoulli beam theory and Timoshenko beam theory are now standard. The Timoshenko beam theory includes the effect of transverse shear deformation. This theory is called the first-order shear deformation theory. The first author developed a beam element based on a displacement formulation of Timoshenko beam theory. The objective of this paper is to present a formulation for beam element based on the refined plate theory proposed by Shimpi. The present theory accounts for the cubic variation of the in-plane displacements through the beam thickness. Furthermore, the transverse displacement w is given by w = w_b + w_s, where w_b and w_s are its components due to bending and shear, respectively. The efficacy of the present beam element is demonstrated through the numerical examples of static flexure and free vibration.
一般社団法人日本機械学会の論文
2003-09-25