本文結合部分應力模態(Partial Hybrid Stress Method,PHSM)應用於高階層 梁理論。針對直交異向性積層梁,修正 Hellinger-Reissner principle,於撓曲部分 包含撓曲應力.sigma.x,橫向剪力部分則以橫 向剪應力場.gamma. xz假設之,經由變分可推 導得PHSM的元素勁度矩陣,在撓曲部分為位移 法勁度矩陣,而在橫向剪力部分則是hybrid法 勁度矩陣。於淺梁,中厚梁及深梁的位移與應 力分析中,本法遠較位移法精確,更可改進沿積層板方向橫向剪應力分布。 The PHSM (Partial Hybrid Stress Method) is applied to the higher-order beam theory for orthotropic laminated beams in this paper. .sigma./sub x/ is included in the flexural part, and assumed transverse shear stress field.gamma./sub xz/ is included in the transverse shear part. Through variation, the stiffness of PHSM is the assembly of the flexural stiffness by displacement formulation and of the transverse shear stiffness by hybrid formulation. For displacement and stress analysis of thin, moderately thick and thick laminated beams, PHSM obtains much better results than the finite element displacement formulation of higher-order beam theory. Moreover, the through thickness distribution of transverse shear stress is grately improved.
