Qin Bin, Zhao Xing, Liu Huifang, Yu Yongge, Wang Qingshan
Key Laboratory of Traffic Safety on Track, Ministry of Education, School of Traffic & Transportation Engineering, Central South University, Changsha 410075, China.
Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha 410075, China.
Materials (Basel). 2020 Feb 24;13(4):1010. doi: 10.3390/ma13041010.
A general formulation is considered for the free vibration of curved laminated composite beams (CLCBs) with alterable curvatures and diverse boundary restraints. In accordance with higher-order shear deformation theory (HSDT), an improved variational approach is introduced for the numerical modeling. Besides, the multi-segment partitioning strategy is exploited for the derivation of motion equations, where the CLCBs are separated into several segments. Penalty parameters are considered to handle the arbitrary boundary conditions. The admissible functions of each separated beam segment are expanded in terms of Jacobi polynomials. The solutions are achieved through the variational approach. The proposed methodology can deal with arbitrary boundary restraints in a unified way by conveniently changing correlated parameters without interfering with the solution procedure.
考虑了具有可变曲率和不同边界约束的曲线层合复合梁（CLCBs）的自由振动的一般公式。根据高阶剪切变形理论（HSDT），引入了一种改进的变分方法进行数值建模。此外，利用多段划分策略推导运动方程，将CLCBs分离为几个段。考虑惩罚参数来处理任意边界条件。每个分离梁段的容许函数用雅可比多项式展开。通过变分方法得到解。所提出的方法可以通过方便地改变相关参数以统一的方式处理任意边界约束，而不会干扰求解过程。
