摘要
从功的互等法出发,研究了薄板在简谐分布力矩作用下的受迫振动问题。给出了三条边固定另一条边简支、三条边固定另一条自由矩形板受迫振动的挠曲线方程,并进行了数值运算,得到了一系列数据。通过与给出的Ansys值对比,其误差小于5%,表明了给出的挠曲线方程和计算结果的正确性。给出的计算矩形板受迫振动问题的方法,避免了传统方法庞大的高阶偏微分方程组和复杂的求解过程,不仅具有一定的理论价值,而且可以直接用于工程实际。
Based on the reciprocal method,the problem of forced vibration of thin plates under the harmonic distribution of moment is analyzed.The rectangular plates bending surface equation with four-sided fixed,three-sided fixed with another side of the simple supported and three sides fixed with another free is deduced.The numerical calculation is completed and a series of data is obtained.By comparison with the results via ANSYS,the error is less than 5%,which shows the correctness of the given deflection equation and calculation results.The method of calculating the forced vibration of rectangular plates avoids the huge high order partial differential equations and the complicated solving process of the traditional method.It is not only of a certain theoretical value,but also applicable directly to the engineering practice.
作者
陈英杰
郭敦
董静波
姜佳恒
Chen Yingjie;Guo Dun;Dong Jingbo;Jiang Jiaheng(School of Architectural Engineering and Mechanics,Yanshan University,066004,Qinhuangdao,China)
出处
《应用力学学报》
CAS
CSCD
北大核心
2019年第3期631-636,761,共7页
Chinese Journal of Applied Mechanics
关键词
功的互等法
受迫振动
矩形薄板
挠曲线方程
reciprocal method
forced vibration
rectangular plate
deflection surface equation
