筋板结构动力学特性边界元法解析研究

研究加筋薄板结构动力学特性多域合成的边界元建模解析方法。将矩形板沿梁划分为若干个区域，同时把梁的约束等效为作用在薄板区域上的反力，基于板、梁元件的动态基本解，由边界元法推导出带约束反力的梁和薄板的兰量控制方程，并依据耦合边界上的连续条件，运用多域合成的解析方法快速地建立筋板结构的动力学方程。数值算例表明，文中方法不但节省了计算量，而且具有良好的计算精度。

RESEARCH ON DYNAMIC CHARACTERISTICS OF STIFFENED THIN PLATE BY BEM

Analytical methods of assembled domains on dynamic model of a stiffened thin plate are studied by boundary element methods (BEM). A rectangular plate is divided into sub-segments along the beam, and the constraint of the beam is equivalent to the counterforce acting on the sub-segments. Based on dynamic fundamental solutions of the beam and thin plate, governing boundary equations of the beam with constraint counterforce and thin plate are respectively deduced by BEM. According to continuity conditions of the coupling boundaries, dynamic equations of the stiffened thin plate are rapidly established by using the analytical approach of assembled domains. The numerical examples show that the schemes of this study are feasible, and it not only save computing cost but also have good precision.