Matched interface and boundary (MIB) method is introduced for free vibration analysis of irregular membranes. Two distinct schemes-on-interface and off-interface schemes are used to deal with the topological relations between edges of irregular domains and the Cartesian mesh lines. Different geometric shapes such as triangle and quadrilateral are dealt with by using MIB procedures. A number of examples are chosen to demonstrate the accuracy and convergence of MIB method. Numerical results show that MIB method is an efficient and highly accurate approach to solve free vibration problems of irregular membranes. This study further extends the application of MIB.

中文翻译：

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不规则膜自由振动分析的界面和边界匹配法

引入匹配界面和边界（MIB）方法用于不规则膜的自由振动分析。两种不同的方案——界面上和界面外方案用于处理不规则域边缘与笛卡尔网格线之间的拓扑关系。使用 MIB 程序处理不同的几何形状，例如三角形和四边形。选择了一些例子来证明 MIB 方法的准确性和收敛性。数值结果表明，MIB方法是解决不规则膜自由振动问题的一种有效且高精度的方法。本研究进一步扩展了 MIB 的应用。