Power transmission characteristics of a U‐shaped plate structures withelastically restrained edges including in‐plane vibration.

Abstract

An analytical study on the power transmission characteristics of a U‐shaped configuration consisted of three rectangular plates is presented. Four groups of springs, to simulate the transverse shearing forces, bending moments, in‐plane longitudinal forces and in‐plane shearing forces separately, are distributed consistently along each edge of the model. With general boundary conditions of both flexural and in‐plane vibrations taken into account by setting the stiffness of these springs, the double Fourier series solution to the dynamic response of the structure is obtained by employing the Raleigh–Ritz method. For model validation, the natural frequency and velocity response of the model are checked against existing literature results and the ANSYS data and good agreement is achieved. The influence of several relevant parameters on power transmission of the coupled structure is then studied in detail, including boundary conditions, coupling conditions, and locations of the external force. The results show that the power transmission of the structure can be significantly affected by altering the boundary condition without changing other parameters of the model. The location of the excitation will remarkably influence the power transmission. Once the excitation is imposed on the central symmetry point of the model, the power transmitted will show a symmetrical distribution. When the location deviates from the central symmetry point, the power circumfluence occurs.