Within the framework of the refined theory taking into account the transverse shear strains and inertial components, we consider the problem of stationary vibration of an orthotropic plate with holes and absolutely rigid inclusions. The inclusions may have different types of bonds with the plate. We analyze the case of translational motion of the inclusions along the direction of normal to the median surface of the plate. We study various harmonic (in time) boundary conditions on the outer boundary of the plate and on the contours of the holes. On the basis of the indirect method of boundary elements and a sequential approach to the representation of Green’s functions, the boundary-value problem is reduced to a system of integral equations and relations, which is solved by the collocation method. The numerical results are presented for a rectangular plate containing a circular hole and a circular inclusion.

中文翻译：

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带孔洞和夹杂物的正交各向异性板的横向振动

在考虑横向剪切应变和惯性分量的精化理论框架内，我们考虑了带有孔和绝对刚性夹杂物的正交各向异性板的静止振动问题。夹杂物可能与板有不同类型的结合。我们分析了夹杂物沿板中面法线方向平移运动的情况。我们研究了板外边界和孔轮廓上的各种谐波（时间）边界条件。在边界元间接法和格林函数表示的序贯法的基础上，将边值问题简化为积分方程和关系的系统，并用搭配法求解。