摘要
将弹性点支反力视为作用于板上的待定外力 ,求得了两对边简支而另两对边为任意支承的矩形板横向振动的解析解。利用弹性点支处挠度与该处的待定外力之间的关系 ,得到了一个用阶数等于弹性点支个数的行列式来表示的频率方程 ,并给出了一个数值算例。
An analytical solution of transversely oscillation for a rectangular plate with two opposite simple supported sides and the other two opposite arbitrary supported ones is obtained by viewing elastic point supports as determination awaited external forces. Using the relationship between the deflection and the determination awaited external force at an elastic point support, a frequency equation expressed in determinant whose ranks equal to the numbers of elastic point supports is obtained. A computation example is provided.
出处
《石油大学学报（自然科学版）》
EI
CSCD
北大核心
2001年第4期61-63,68,共4页
Journal of the University of Petroleum,China(Edition of Natural Science)
关键词
两对边简支
矩形板
弹性点支
横向自由振动
解析解
rectangular plate
elastic point support
transversely free oscillation
exact solution
