摘要
用瑞利-李兹法估算梁固有频率的精度取决于假设振型函数对主振型的近似程度。多数教材仅提及假设的振型函数应满足位移边界条件。通过例子表明仅满足位移边界条件而不满足力边界条件时,可能产生很大的误差,并且对两个力边界条件的相对重要性作了比较。
<Abstrcat> Accuracy of natural frequency of beam that is estimated by Rayleigh-Ritz theory depends on the approximation of assumed main vibration-mode function. Most authors only pay attention to displacement boundary conditions. Examples are presented to show that significant error will occur if force boundary conditions are not satisfied.The relative importance of two kinds of force boundary conditions is compared.
出处
《上海工程技术大学学报》
CAS
2005年第1期9-11,共3页
Journal of Shanghai University of Engineering Science
关键词
固有频率
瑞利-李兹法
边界条件
natural frequency
Rayleigh-Ritz theory
boundary condition
