|
Abstract The surface mobility of anisotropic plates with different materials, geometric properties and boundary conditions is studied. Surface mobility, which reflects the characteristics of not only the vibration but also the power transmission of structures, is more practical than point mobility in engineering. There are more and more problems about structural vibration and vibration power transmission of anisotropic materials in engineering; however, research on the surface mobility of such structures is insufficient. In this study, according to the theoretical formula, the surface mobility of the orthotropic plate is obtained and compared with the numerical solution of the finite element model. It is found that the two solutions are in good agreement. In this paper, the finite element method is used to study the influence of elastic constants, size of the plate and boundary conditions on the surface mobility and the difference between the point mobility and the surface mobility of the anisotropic plate. It is found that increasing the excitation area and reducing the structural stiffness and the damping coefficient of the structure will make the difference between the point mobility and the surface mobility larger. The influence of shear modulus on the vibration characteristics of the plate is far less than that of elastic modulus. Reducing the model of the anisotropic plate to the model of an orthotropic plate but keeping both shear modulus and elastic modulus unchanged will also make the difference between the point mobility and the surface mobility larger. Increasing the size and the damping coefficient of the plate can reduce the range of mobility fluctuation, and the boundary conditions have little influence on the vibration reduction performance of the plate. These results can be applied to the investigation of the vibration power transmission of anisotropic plate-like structures in civil engineering, aeronautical engineering and mechanical engineering.
|
|
Received: 12 April 2020
Published: 14 April 2021
|
|
|
|
|
|
2021, Vol. 42 
