论文部分内容阅读
本文研究点支、线支和弹性地基上简支矩形板的弯曲问题.从三维弹性力学理论出发,导出满足控制微分方程和四边简支边界条件的位移函数的一般解,将支承反力看成是作用于板上的待求反力,利用板上下表面的边界条件确定待定系数,数值结果与Kirchhoff板理论和Mindlin板理论以及商业有限元软件ANSYS进行了比较,显示出很高的精度。本文研究点支、线支和弹性地基上简支矩形板的弯曲问题.从三维弹性力学理论出发,导出满足控制微分方程和四边简支边界条件的位移函数的一般解,将支承反力看成是作用于板上的待求反力,利用板上下表面的边界条件确定待定系数,数值结果与Kirchhoff板理论和Mindlin板理论以及商业有限元软件ANSYS进行了比较,显示出很高的精度。
In this paper, we study the bending problem of simply supported rectangular plates on point, line and elastic foundations.According to the three-dimensional elastic mechanics theory, the general solution to the displacement function that satisfies the governing differential equation and the boundary condition of the simple support is derived, Is the reaction force to be applied to the plate. The undetermined coefficients are determined by the boundary conditions of the upper and lower surfaces of the plate. Numerical results are compared with the Kirchhoff plate theory and the Mindlin plate theory and the commercial finite element software ANSYS to show high accuracy. In this paper, we study the bending problem of simply supported rectangular plates on point, line and elastic foundations.According to the three-dimensional elastic mechanics theory, the general solution to the displacement function that satisfies the governing differential equation and the boundary condition of the simple support is derived, Is the reaction force to be applied to the plate. The undetermined coefficients are determined by the boundary conditions of the upper and lower surfaces of the plate. Numerical results are compared with the Kirchhoff plate theory and the Mindlin plate theory and the commercial finite element software ANSYS to show high accuracy.