摘要
利用板的挠曲面微分方程和振型方程在数学上及力学上的相似性,提出了分析矩形板固有频率的功的互等定理法.通过设定满足位移边界条件的振型函数并进行适当的转换,可方便地得到团支矩形板自由振动的频率方程.
The paper applies the reciprocal theorem to the analysis of natural frequency for fixed rectangular plates. Taking into account the resemblance of deflection equation with free vibration equation, one caneasily obtain the natoral frequency equation, after supposing the form of free vibration and transforming it.
出处
《河北工业大学学报》
CAS
1999年第5期90-94,共5页
Journal of Hebei University of Technology
关键词
矩形板
固有频率
功
互等定理
自由振动
Rectangular plates, Free vibration, NatUral frequency, The reciprical theoem