Zhou, Kai (University of Connecticut), Tang, Jiong (University of Connecticut)

Perturbing Structural Design towards Minimizing Variation in Vibratory Response

Scheduled for presentation during the Invited session "Control, Monitoring, and Energy Harvesting of Vibratory Systems: Analysis and Passive Control" (TuAT6), Tuesday, October 22, 2013, 11:15−11:35, Room 134

6th Annual Dynamic Systems and Control Conference, October 21-23, 2020, Stanford University, Munger Center, Palo Alto, CA

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

Real structures are always subject to uncertainties due to material imperfection, machining tolerance, and assemblage error, etc. These uncertainties lead to variations in structural vibratory responses. In order to reduce the likelihood of unexpected failures in structures, we need to minimize the response variations, which is the underlying idea of robust design. In this paper, we present an inverse sensitivity-based algorithm that allows us to tailor the structural design such that, under the same level of uncertainties, the response variations can be effectively reduced. We first develop a direct relation between the structural uncertainties and the response variations including the means and variances. We then formulate an optimal identification algorithm that will yield design perturbation to minimize the response variances while maintaining the mean values. Case analyses are carried out to validate the validity and efficiency of the new algorithm.