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本文讨论了两个广义位移梁的动力学理论——Timoshenko梁理论的有限单元法及其在平面框架结构动力计算中的应用,以及对于短波长振动求解的重要性。同时用Timoshenko框架元编制了电算程序,并以整体式高速锤框架动力计算为实例,其结果同解析解和实测进行了比较,精度令人满意。文中提供的单元收敛性计算数据,可作为Timoshenko梁单元工程应用的依据。本文的电算程序,对组成框架各杆的几何尺寸没有限制,可有较宽的适用范围。
In this paper, the dynamics theory of two generalized displacement beams is discussed. The finite element method of Timoshenko beam theory and its application in dynamic calculation of plane frame structure are discussed. The importance of solving the short wavelength vibration is also discussed. At the same time, the computer program was compiled by Timoshenko frame element. The dynamic calculation of the whole high-speed hammer frame was taken as an example. The result was compared with the analytical solution and the measured data. The accuracy was satisfactory. The unit convergence calculation data provided in this paper can be used as a basis for the application of Timoshenko beam elements. The computer program in this article has no limitation on the geometric dimensions of the rods that make up the frame. It can have a wide range of applications.