Chen Song-ying, Wang Le-qin, Jiao Lei
Institute of Chemical Machinery, Zhejiang University, Hangzhou 310027, China.
J Zhejiang Univ Sci. 2003 Sep-Oct;4(5):584-90. doi: 10.1631/jzus.2003.0584.
This paper discusses the application of the boundary contour method for resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation based on the Kirchhoff hypothesis and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation of bending potential functions on the discretized boundary points, even for curved surface elements of arbitrary shape. Singularity and treatment of the discontinued corner point are not needed at all. The evaluation of the physics variant at internal points is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical and previous solutions.
本文讨论了边界轮廓法在解决薄板弯曲问题中的应用。基于基尔霍夫假设，利用薄板弯曲边界积分方程的被积函数无散度特性，并通过斯托克斯定理的一个非常有用的应用，将边界单元上的面积分转换为离散边界点上弯曲势函数的计算，即使对于任意形状的曲面单元也是如此。完全不需要奇点和对间断角点的处理。本文还展示了内部点处物理变量的评估。给出了一些薄板弯曲问题的数值结果，并与解析解和先前的解进行了比较。
