摘要
应用拉氏乘子法和曲线坐标法建立了两端边界均为完全约束的复合材料自然弯曲与扭曲闭口薄壁细长梁(即弯扭薄壁复合梁)动力分析的非完全广义变分原理的泛函,由泛函驻值条件可以导出所给问题的控制方程及全部边界条件。上述方法还可方便地推广到其它各种不完全约束边界的情况。
The Lagrange multiplier method and the curvelinear coordinate are applied to estab- lish a non-complete generalized functional of dynamic analysis for naturally curved and twisted closed thin-walled slender beams of composite materials with boundaries being completely restrained. The balance equations and all boundary conditions are deduced from functional stagnation point condition. The above-mentioned method can also be generalized to other various incomplete constrained boundaries.
关键词
薄壁
复合梁
广义变分原理
自然弯曲
复合材料
generalized variational principle
naturally curved and twisted closed thin-walled slender beam
composite material
