复合材料层合梁弯扭耦合变形的有限元分析

对于层合梁这一类特殊的工程问题,本文在理论上推导了其大挠度问题的有限元数学模型,这种数学模型有别于一般层合板壳问题对应的数学模型。在数值分析时,对线性问题进行了计算机模拟,并着重研究了层合梁在两个方向上的弯曲与一个方向上的扭转变形的耦合关系。本文的结果与实验值及其他理论解相比,具有良好的一致性。

Finite Element Analysis of a Laminated Beam with Coupled Bending-Torsional Deflections

The coupled bending-torsional deflection analysis of a laminated . beam is a special kind of engineering problem. A set of finite-element mathematical formulae for large deflections of the beam, which differ from the relevant formulae of laminated plates and shells in some aspects, are established in the present paper. In computational analysis of the laminated beam, the linear model is considered only, and the emphasis of this paper is put on investigating coupling relations between two-direction bending and one-direction torsion. The obtained results are in good agreement with other experimental and theoretical results.