LINEAR DYNAMIC ANALYSIS OF REVOLUTIONAL SHELLS USING FINITE ELEMENTS AND MODAL EXPANSION

YUAN-BIN CHANG, Purdue University

Abstract

Doubly-curved, axisymmetric shell finite elements are used to perform the dynamic analysis of shells of revolution. The modal expansion method is used since it is more efficient than the direct integration method when the axisymmetric shell structures are subjected to certain specific loadings. For the case of complicated loadings such as travelling loads, the modal participation factors are obtained in the form of convolution integrals which can be solved either by Laplace transformation or by numerical integration. Orthogonality conditions between displacement functions and the Fourier expansions of loadings have been used to simplify the consistent loads. It thus becomes possible to perform response calculations, like impulse response, step response, frequency response, travelling loading response, and also static deflections. The effectiveness of the present method is demonstrated through its performance in a series of examples with results compared to alternative solutions with excellent agreements. By using this doubly-curved, axisymmetric shell finite elements and the modal expansion approach, the linear dynamic response of an automotive radial tire is investigated. The work is particularly focused on three topics: frequency response, travelling sinusoidal load response, and spectral analysis due to random pavement. For the travelling sinusoidal load response, it is shown that depending upon the natural frequency spectrum of the tire, the vehicle velocity, and the distance-based frequency of the pavement profile, certain modes dominate the response at specific vehicle velocities. For the spectral analysis, the tire response increases with vehicle velocity.

Degree

Ph.D.

Subject Area

Aerospace materials

COinS