论文部分内容阅读
给出各类普通截面均匀各向同性梁的新型几何非线性模型,包括因扭剪导致的不均匀翘曲。利用基于不均匀翘曲构件圣维南解的三维线弹性模型,描述不同截面旋转框架的静力和动力特性。根据代数变化和混合变分原理给出模型的广义参数。采用混合插值法,模型的Koiter有限元分析结果与根据该公式得到的结果相符。
A new type of geometric nonlinear model of all kinds of isotropic isotropic beams with normal section is given, including the non-uniform warpage caused by torsional shear. Using the three-dimensional linear elastic model based on Saint-Venant solution of the non-uniform warping member, the static and dynamic characteristics of the rotating frame with different cross sections are described. According to algebraic variation and mixed variational principle, the generalized parameters of the model are given. Using the hybrid interpolation method, the results of the Koiter finite element analysis of the model are consistent with the results obtained from this formula.