A simplified finite element method has been developed for analyzing the acoustic resonances of a prismatic car cavity. Use is made of the non-variant geometric and material properties of such a cavity in one direction (across the width of the car) and the solution of the full three-dimensional problem is related very simply to the solution of a single two-dimensional problem, with a consequent reduction of computing effort. Some experimental results obtained for a half-size model of a car cavity are compared with the finite element results. The accuracy of the finite element solution is assessed by analyzing a rectangular cavity and a cylindrical cavity, for which analytical solutions are already available. © 1979.
Richards, T. L., & Jha, S. K. (1979). A simplified finite element method for studying acoustic characteristics inside a car cavity. Journal of Sound and Vibration, 63(1), 61–72. https://doi.org/10.1016/0022-460X(79)90377-8