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弹性地基板的弯曲问题,尤其是自由边板,一直是学者和工程师们所十分关切的问题。本文用无单元法研究了双参数弹性地基板的弯曲问题,由最小二乘法和变分原理导出了双参数弹性地基板的无单元法刚度矩阵,编制相应的无单元法计算程序,并给出计算实例。结果表明本文方法精度良好,可求出任意荷载作用下板中任一点的挠度、转角、弯矩和扭矩,且有广泛的工程应用前景。
Flexural substrate bending problems, especially free edge panels, have always been scholars and engineers are very concerned about the issue. In this paper, the problem of bending of two-parameter elastic foundation is studied by element-free method. The element-free stiffness matrix of two-parameter elastic foundation is derived by least square method and variational principle, and the calculation procedure of element- Calculation example. The results show that the method proposed in this paper is accurate, and the deflection, corner, moment and torque of any point under any load can be obtained, and it has a wide range of engineering application prospects.