摘要
利用含有大参数二阶线性齐次方程的一级摄动解 ,研究了热状态下弹性杆的纵扭固有振动 ,并推导出了计算热状态下弹性杆纵扭固有振动频率的特征方程。通过实例计算验证了该摄动解不但计算简便而且精度很高。
The longitudinal twisted natural vibration of elastic bar under thermal state is studied by using first order perturbation solution to second order linear homogeneous equation with big parameter,and the characteristic equation of its vibration frequency is derivated.Actual caculation indicates that the perturbation solution is exact and simple.
关键词
热状态
弹性杆
固有振动
摄动解
thermal state
elastic bar
natural vibration
perturbation solution
