Date of Award
Doctor of Philosophy
James E. Bernard
Finite element-based optimization techniques have emerged as useful tools to control the vibration of a structural or mechanical system. Effective use of these techniques depends on sensitivity calculations. In this dissertation, the resonant frequencies and amplitudes at resonance of a vibrational system are identified as functions of design variables. Based on these features, the variation of resonant frequency is considered in the derivations of sensitivity equations of steady state resonant response;This dissertation presents several methods to compute the sensitivities of steady state resonant response of damped vibrational systems with respect to design parameters and to estimate the resonant frequencies and amplitudes at resonance based on these sensitivities so that the computational cost in design cycles is minimized. The goal is to develop efficient methods for the control of frequency response at resonance of vibrational systems. Several examples demonstrate the sensitivity calculations and the utility of these sensitivities.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Li, Tsung-Hsiun, "Using sensitivity derivatives of resonant response to guide structural redesign " (1993). Retrospective Theses and Dissertations. 10837.