摘要
利用单向板挠曲面微分方程和振型方程在数学上及力学上的相似性，提出了分析单向板自由振动的功的互等定理法。通过设定满足位移边界条件的振型函数，利用此法求解了几种常见约束下单向板自由振动的固有频率，所得结果与已有结果完全一致。
Based on the resemblance of deflection equation with free vibration equation,the reciprocal theory can be applied to the analysis of free vibration of unidirectional plate,and through which we can easily get the inherent frequency of unidirectional plate with different boundry supporting after assuming the form of free vibration.The results indicate the method is valid and reliable.
出处
《河北科技大学学报》
CAS
1999年第4期75-80,共6页
Journal of Hebei University of Science and Technology
关键词
单向板
自动振动
功
互等定理
振动分析
unidirectional plate
free vibration
the reciprocal theory
