摘要
利用Matlab提供的偏微分方程工具箱(PDE Tool Box),对两端铰支细长压杆失稳以及横向自由振动平板的特征值的求解过程进行了阐述,分析了细长压杆失稳的临界力和横向振动各阶固有频率以及横向自由振动平板的各阶固有频率。结果证明该方法操作简单,速度快,误差小。
The eigenvalues ate the base of rescarching the instability and the natural frequencies on vibration systems. With the Partial Differential Equation （PDE） toolbox of Madab, it cab quickly get the critical force of instability, natural frequendes of a pinned- pinned long and thin rod, the natural frequendes and visual graphs of plate. It uses this method to solve two specific examples. The results show that it is easy to handle and control the error with faster operation speed. So it provides theory foundation and experimental data for designers to avoid system resonance, and also valuable data for researchers to analysis others vibration systems.
