杆-梁和梁-梁组合结构中的波动现象

Analysis of wave propagation in the built-up structures of rod-beam and beam-beam

杆 梁结构和梁 梁结构都是典型的组合结构 .用间接模态叠加法分析杆 Timoshenko梁之间以及两根Timoshenko梁之间的碰撞问题 .在间接模态叠加法中 ,首先分别独立求得杆和梁的固有频率和模态函数 ,然后建立碰撞体和靶体之间的位移协调方程 ,并用逐步积分方法求解该方程 .分析了纵波和剪切波在杆和梁中的传播特性 .

The impact problems of a rod on a Timoshenko beam and a Timoshenko beam on another Timoshenko beam were analyzed the indirect mode superposition method (IMSM). A rod on a beam and a beam on another beam are typical built-up structures. The displacement compatible equations of the two problems were established by IMSM on the basis of the individually obtained mode functions and frequencies of impactors and targets, and solved by numerical integration step by step. The numerical analysis by using of dimensionless variables shows the propagation of longitudinal waves along rod, the longitudinal and transverse waves along beam, and the mutual transition and reflection between the longitudinal waves and the transverse waves in the impact built-up structures.