| 摘要: | 本文結合一階層板理論與Partial Hybrid Stress Method,PHSM),對直交異向性 積層板而言,可修正Hellinger-Reissner principle,於撓曲部分包含.sigma.x, .sigma.y,.tau.xy,橫向剪力部分 (.tau.xz,.tau.yz)則以橫向剪應 力場假設之,經由修正的Hellinger-Reissner principle可推導得PHSM的元素勁度矩陣為撓 曲部分之位移法勁度矩陣與橫向剪力部分之 hybrid法勁度矩陣之和。在薄板,中厚板及厚 板的位移分析與應力分析中,PHSM獲得遠較一 階層板理論之有限元素位移法精確的結果,在 位移分析與沿著積層板厚度方向的橫向剪應力 ,PHSM甚至可得到優於高階層板位移法的結果 。
The PHSM (Partial Hbyrid Stress Method) Hellinger-Reissner principle applied to the first-order plate theory is established for orthotropic laminated plates in this paper. .sigma.x, .sigma.y, .tau.xy, are included in the flexural part, and assumed transverse shear stresses (.tau.xz, .tau.yz) are 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 plates, PHSM obtains much better results than the finite element displacement formulation of first-order plate theory. Moreover, PHSM is better than displacement formulation of higher-order plate theory in the displacement analysis and the through thickness distribution of transverse shear stress. |
