Date of Award

Spring 2008

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Aerospace Engineering

Committee Director

Chuh Mei

Committee Member

Jen-Kuang Huang

Committee Member

Jim Cross

Call Number for Print

Special Collections; LD4331.E535 P37 2008

Abstract

A coupled structural-electrical nonlinear modal finite element formulation for anti-symmetrical laminated composite shallow shells with embedded piezoelectric sensors and actuators is presented for the suppression of large-amplitude nonlinear free vibrations. The triangular shallow shell finite element is utilized, which is developed &om an extension of the triangular Mindlin (MIN3) element with the improved shear correction factor. The system equations of motion are first derived in the physical structural-node degrees of freedom (DOF), However, numerical simulation in structural-node DOF is costly in computation due to the large size of system matrices, and the nonlinear terms have to be updated at each time step of integration. In this work, the system is transformed into the modal equation to obtain the less number of system equations. The reduced-order modal equation is employed to generate the limit-cycle oscillations (LCO) and design control laws for the suppression of free vibrations. A multiple-mode approach is presented to get the converged solution. Time numerical integration is applied to determine the nonlinear frequency of vibration with proper initial conditions using the shooting method.

Rights

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DOI

10.25777/1z5q-wc59

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