Finite Element Method and Analytical Approach Solutions for a Conical Axisymmetric Shell Structure Under Random Acoustic Loading

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Fallah, Mohsem | 2012

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 43047 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Hosseini Kordkheili, Ali
Abstract:
When vibration of the structure is unrecognized we call it random vibrations which their analysis is very important in space structures because these structures are exposed to acoustic forces or forces produced by turbulence of the atmosphere when a spacecraft is launched. Also in the aviation field, the random vibration analysis use to examine the response of the aircraft and missile structures to atmospheric turbulence and gust. In this research dominated equations of a truncated conical axisymmetric shell structure with linearized approximation of Love’s equations under uniform pressure is utilized. Considering displacements in the form of Frobenius series expansion the frequencies and mode shapes of the conical shell structure are calculated and verified with available references. By the use of the Fourier transformation spectral density and the power of excitation function can be calculated which is a stochastic process. These amounts are usually constant. Therefore, the data needed for frequency content of the process is hidden in the spectral density function
Keywords:
Random Vibration ; Random Loading ; Truncated Conical Thin Shell ; Acoustic Loads

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