摘要
建立了双参数弹性地基上的正交异性矩形薄板自由振动位移函数微分方程,并得到其一般解.这可用以精确地求解板在任意边界条件下的自由振动问题.以四边固定的正方形板为例进行了分析,计算过程简单,便于实际应用.亦适用于求解单参数弹性地基和各向同性板情形.
We established the differential equation for the free vibration displacement function of orthotropic rectangular thin plates on bi-pavameter elastic foundation. The equation can be used to accurately zolue the free vibration of plates with arbitrary boundaries. A square plate with four fixed edges was taken as an example to verify the method, and it showed that the calculation proless is simple and convenient. The method can also be suitable for single parametric elastic foundation and isotropic plates.
出处
《动力学与控制学报》
2004年第1期92-96,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(19872076).~~
关键词
弹性地基
自由振动
正交异性板
频率
elastic foundation, orthotropic plate, vibration, frequency
