Next week: Ketson dos Santos, 01-Apr-25, 12:20pm Central
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Ellad Tadmor
Mar 25, 2025, 4:43:51 PMMar 25
to aem-solid...@umn.edu
AEM Mechanics Research Seminar
Tuesday 01-Apr-2025, 12:20pm Central
Prof. Ketson dos Santos
Department of Civil, Environmental, and Geo-Engineering, University of Minnesota
Title: Efficient Response Determination and Reliability Analysis of Complex Dynamical Systems Subject to Random Excitations
Abstract: The reliable design of structural systems in the presence of random excitation requires an accurate understanding of the uncertainty propagation mechanism and its influence on the system response. However, engineering systems at both micro- and macro-scales—which include vibratory energy harvesters and high-rise buildings—typically possess nonlinear/hysteretic behavior when subjected to strong random loading. Additionally, engineering systems may also possess damping mechanisms with non-local behavior modeling, for example, viscoelasticity in seismic isolation rubber bearings. Therefore, as the presence of nonlinear and non-local terms in the equations governing the dynamics of oscillators modeling the behavior of structural systems subject to either stationary or non-stationary random excitation is a persistent challenge in the field of stochastic engineering dynamics, I have developed, with my co-workers, novel approximate/semi-analytical techniques for determining i) the stochastic response, ii) the survival probability, and iii) the optimal design of complex engineering systems modeled as nonlinear/hysteretic oscillators with fractional derivatives and subject to stationary and non-stationary excitation. The developed techniques take advantage of appropriate approximations of the system response by both Markovian and/or Gaussian stochastic processes to accelerate the estimation of either statistical moments or the full response probability density function. In this presentation, I will give a brief overview of the main challenges in the field of stochastic engineering dynamics. I will introduce the theoretical elements of the proposed techniques together with some indicative examples involving the analysis of vibratory energy harvesters and chain-like structures subject to stationary and non-stationary excitation.
For more information, visit the AEM Mechanics Research Seminar website:
Tuesday 01-Apr-2025, 12:20pm Central
In-person: Room 58, Rapson Hall, University of Minnesota
Online: Webinar registration link
Department of Civil, Environmental, and Geo-Engineering, University of Minnesota
Title: Efficient Response Determination and Reliability Analysis of Complex Dynamical Systems Subject to Random Excitations
Abstract: The reliable design of structural systems in the presence of random excitation requires an accurate understanding of the uncertainty propagation mechanism and its influence on the system response. However, engineering systems at both micro- and macro-scales—which include vibratory energy harvesters and high-rise buildings—typically possess nonlinear/hysteretic behavior when subjected to strong random loading. Additionally, engineering systems may also possess damping mechanisms with non-local behavior modeling, for example, viscoelasticity in seismic isolation rubber bearings. Therefore, as the presence of nonlinear and non-local terms in the equations governing the dynamics of oscillators modeling the behavior of structural systems subject to either stationary or non-stationary random excitation is a persistent challenge in the field of stochastic engineering dynamics, I have developed, with my co-workers, novel approximate/semi-analytical techniques for determining i) the stochastic response, ii) the survival probability, and iii) the optimal design of complex engineering systems modeled as nonlinear/hysteretic oscillators with fractional derivatives and subject to stationary and non-stationary excitation. The developed techniques take advantage of appropriate approximations of the system response by both Markovian and/or Gaussian stochastic processes to accelerate the estimation of either statistical moments or the full response probability density function. In this presentation, I will give a brief overview of the main challenges in the field of stochastic engineering dynamics. I will introduce the theoretical elements of the proposed techniques together with some indicative examples involving the analysis of vibratory energy harvesters and chain-like structures subject to stationary and non-stationary excitation.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor, Ph.D.
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
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