On the free and forced vibrations of plate-shell combinations using the receptance method

David Te-yen Huang, Purdue University

Abstract

The modal characteristics of a plate-shell coupled structure consisting of a simply-supported thin circular cylindrical shell and a circular plate, which is joined to the shell at any arbitrary axial position, were first studied, using the receptance method. The methodology was then generalized to a system which is composed of k plates and one shell. The practically important case of k = 2 is presented and studied in detail. The system frequency equation was solved to obtain the natural frequencies and modes of the combined structure under different joining configurations. The structural coupling behavior between the plate and the shell and the coupling relationship between the line force loading and the line moment loading were explored. The effects of thicknesses, radii, lengths and joining positions on the dynamic behavior of the combined structure were investigated. Tuning and detuning phenomena involving the two plates were studied. Small curvature effects of the shell and the end plates on the modal characteristics of the combined structure were considered. The influence of the shell boundary conditions on the system vibrational behavior was examined. Finally, the forced response of a plate-shell joined structure was studied using the line receptance concept and modal expansion techniques. Harmonic single point forces, which are converted into harmonic line forces through Fourier series expansion, were applied to the combined system. The frequency responses of the system at certain locations were calculated for different damping coefficients and illustrated in the frequency range of interest. Vibration control effects were explored through applying secondary forcing functions to suppress selectively certain amplitudes of vibration of the structure.

Degree

Ph.D.

Advisors

Soedel, Purdue University.

Subject Area

Mechanical engineering

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