Date of Award

Summer 2007

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Aerospace Engineering

Committee Director

Chuh Mei

Committee Member

Due T. Nguyen

Committee Member

Jim Cross

Call Number for Print

Special Collections; LD4331.E535 P88 2007

Abstract

Large-amplitude random response of slender isotropic beams is studied using finite element analysis. The random load is assumed to be a stationary ergodic random Gaussian excitation with white noise characteristics. The loading is considered for three cases, namely synchronized, anti-synchronized, and unsynchronized in time. The linear response of beams is studied for the simply-supported and clamped-simply support conditions at the two ends. The non-linear response is, however, limited only to the simply-supported condition. There are no analytical solutions to the linear and non-linear responses of beams under concentrated random loads unsynchronized in time. The deflections due to unsynchronized loads are found to be significantly smaller than the synchronized loads. Quite interestingly, the anti-synchronized loads have shown the smallest deflections. The Power Spectral Density (PSD) plots serve as indication of modal participation and show that both anti-symmetric and symmetric modes contribute to the response for unsynchronized loads; whereas only the symmetric modes contribute to synchronized and only anti-symmetric modes to the anti-synchronized loads. There is an observable shift of the non-linear vibration frequencies to higher values as seen from PSD plots.

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DOI

10.25777/8jfg-9377

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