We derive here a fundamental solution for the harmonic vibration of thick asymmetrically laminated composite plates. The kinematics of the plate is based on Reddy’s third-order shear deformation theory (J Appl Mech 51:745–752, 1984). The fundamental solution is derived via the Fourier transform, and its final form is given in terms of definite integrals, which are evaluated numerically. All spatial singularities can be obtained explicitly, which makes the fundamental solution suitable for a boundary element method implementation.

中文翻译：

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用高阶剪切应变理论描述不对称层压复合板谐波振动的基本解

在这里，我们得出了厚非对称层压复合板谐波振动的基本解决方案。板的运动学是基于Reddy的三阶剪切变形理论（J Appl Mech 51：745-752，1984）。基本解是通过傅立叶变换得出的，其最终形式是用定积分给出的，并对其进行数值评估。可以明确获得所有空间奇点，这使得基本解决方案适合于边界元方法的实现。