摘要
借助积分方程理论,探讨了非均质变截面弹性直杆的振动问题。经过研究发现,只要直杆的弹性模量、密度和横截面面积可用一函数表示,借助本文的方法便可得此直杆的频率方程和振型。
Using integral equation theorem, the vibration problems of the non-uniform bars are investigated. Result shows: the frequency equations and vibration modes can be obtained by the method, provided elastic modulus, density and cross-sectional area of the elastic bar are expressed as functions. The method is universal for similar problems.
关键词
弹性构件
杆
变截面梁
振动分析
Elastic component
Bars
Variable cross-section beam
Natural frequency
Vibration analysis
Integral equation
Chracteristic value