Response of a shell structure subject to distributed harmonic excitation

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Cao, Rui^1 ; Bolton, J. Stuart^1

Ray W. Herrick Laboratories, Mechanical Engineering, Purdue University, 177 S. Russell Street, West Lafayette

IN

47907, United States^1

关键词: Closed-form analytical solutions;    Dispersion relations;    Free and forced vibrations;    Harmonic excitation;    Input distributions;    Laser velocimeters;    Noise and vibration;    Structural acoustics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012150/pdf
DOI  :  10.1088/1742-6596/744/1/012150

来源: IOP

【 摘 要 】

Previously, a coupled, two-dimensional structural-acoustic ring model was constructed to simulate the dynamic and acoustical behavior of pneumatic tires. Analytical forced solutions were obtained and were experimentally verified through laser velocimeter measurement made using automobile tires. However, the two-dimensional ring model is incapable of representing higher order, in-plane modal motion in either the circumferential or axial directions. Therefore, in this paper, a three-dimensional pressurized circular shell model is proposed to study the in-plane shearing motion and the effect of different forcing conditions. Closed form analytical solutions were obtained for both free and forced vibrations of the shell under simply supported boundary conditions. Dispersion relations were calculated and different wave types were identified by their different speeds. Shell surface mobility results under various input distributions were also studied and compared. Spatial Fourier series decompositions were also performed on the spatial mobility results to give the forced dispersion relations, which illustrate clearly the influence of input force spatial distribution. Such a model has practical application in identifying the sources of noise and vibration problems in automotive tires.