|摘要: ||本文結合部分應力模態(Partial Hybrid Stress Method,PHSM)與修正 C/sup 1/高階層板理論。針對直交異向性積層 板,修正 Hellinger-Reissner principle,於撓 曲部分包含撓曲應力(.sigma.x,sigma.y,.gamma.xy),橫向剪 力部分則以橫向剪應力場(.gamma.xz,.gamma.yz)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。於厚板的位移與應力分析 中,本文方法精確度與hybrid法類似,但應力參 數則減少許多。而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。|
A modified PHSM (Partial Hybrid Stress Method) Hellinger-Reissner principle applied to the refined C/sup 1/ higher-order plate theory is established for orthotropic laminated plates in this paper. . sigma./sub x/,.sigma./sub y/, .gamma./sub xy/ are included in the flexural part, and assumed transverse shear stresses (.gamma./sub xz/, .gamma./sub yz/) are included in the transverse shear part. Through variation, the stiffness of PHSM plate element is the assembly of the flexural stiffness by displacement formulation and of the transverse shear stiffness by hybrid formulation. This new element is demonstrated to approach the accuracy of hybrid model, but with much less computing efforts. Compared to the displacement model, the present element is much more accurate and the through thickness distribution of transverse shear stress is greatly improved.