Conference Paper

The Dynamic Behavior of Spherical Caps Subjected to Radial Sinusoidal loading

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Abstract

This paper is a study of snap-through properties of a non-linear dynamic buckling response to sinusoidal excitation of shallow spherical shells. The highly non-linear motion of snap-through and its effects on the overall vibration response has been studied. Sinusoidal wave generators (oscillators) produce a sine wave of constant amplitude and frequency. In sonification, the science of using sound to convey data, the signals are of random frequency and amplitude content. Therefore, there are two stability requirements, amplitude stability and frequency stability. The frequency of the loading is varied over a wide range that includes the natural frequency of the structure and under various load amplitudes has been investigated. The results obtained can be utilized in the design of displacement transducers utilized as fish finders, hydrophones and actuators. These devices are in the form of shallow spherical shells, and the main loading is applied at the periphery. For the numerical solution of the problem a computer program, using a linearized finite element incremental-iterative approach based on updated Lagrangian formulation was developed.The analysis was performed first in the frequency domain, then the whole process is accomplished using the Newmark method as the time integration scheme in the time domain.

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