A new method for plates with circular holes

Abstract

In this paper, a new method is proposed for plates with circular holes. Null-field integral equation（NFIE）is employed to solve the problem. The kernel in the NFIE is expanded to degenerate kernel and the boundary density is expressed in terms of Fourier series. By matching the boundary condition, a linear algebraic system is obtained. After obtaining the unknown Fourier coefficients, the solution can be obtained by using the integral representation. Finally, an example is presented to demonstrate the validity of present method.本文提出一套求解含圓孔洞板問題之新方法。將核函數展開成退化核，而未知的邊界密度函數則由傅立葉級數做展開，利用上述方法可導得一線性代數系統以求得邊界資訊，透過域內點積分方程即可求得場解表示式。最後提出一個測試例以驗證此法之可行性。