工程可靠性与随机力学国际联合研究中心

2024年第6期（总第80期）学术报告

工程力学研究中心第31期学术报告

文远讲坛278期

报告主题

TOPIC

工程设计优化问题中离散—连续混合设计变量的综合处理

A Consolidated Treatment of Mixed Discrete-Continuous Design Variables in Engineering Design Optimization Problems

报告人

SPEAKER

Prof. Hector A. Jensen

智利费德里科圣玛利亚理工大学教授

科技部高端外国专家

报告时间

TIME

2024年4月30日（周二）下午14:30-15:30

报告地点

VENUE

同济大学土木大楼 A804

主持人

CHAIR

陈建兵教授、彭勇波教授

联系人：律梦泽博士

报告内容

Abstract

In a large number of practical design situations some of the design variables must be selected from a list of discrete values due to manufacturing limitations. In this context, this presentation focuses on general engineering design optimization problems considering discrete-continuous design variables. The optimization problem is formulated as the minimization of an objective function subject to multiple design requirements. The mathematical programming statement is set into the framework of a sample generation problem. Constraints are managed directly within the proposed scheme, generating designs distributed over the feasible design space. Based on these samples, a set of designs lying in the vicinity of the optimal solution set is obtained. The sampling problem is solved by an effective Markov chain Monte Carlo simulation scheme, where appropriate proposal distributions are introduced for the continuous and discrete design variables. The approach can efficiently estimate the sensitivity of the final design and constraints with respect to the design variables. In addition, the numerical implementation of the optimization algorithm depends on few control parameters. Representative examples including classical engineering design problems, performance-based design optimization problems, and reliability-based design optimization problems of structural systems under stochastic excitation are presented to show the effectiveness and potentiality of the proposed optimization scheme. Validation calculations show that the scheme is a flexible, efficient, and competitive choice for solving a wide range of classical and complex engineering design problems.

报告人简介

Speaker Bio

Hector Jensen is a Professor Civil Engineering at the Santa Maria Technical University, Valparaiso, Chile, and Professor of Mechanical Engineering at the Catholic University of Chile, Santiago. Chile. He is a Mathematician Civil Engineer from the University of Chile, and he received his PhD in Applied Mechanics from the California Institute of Technology (CALTECH), Pasadena, USA. His research interests include Computational Stochastic Mechanics, Advanced Simulation Methods, Robust and Reliability-Based Optimization, Risk and Sensitivity Analysis, Fuzzy Analysis, Finite Element Analysis, Dynamic Sub-structuring, and Bayesian Model Updating. He has been visiting professor in several American and European universities, including University of California at Los Angeles (UCLA), California Institute of Technology (CALTECH), University of Michigan (UM), University of Innsbruck, etc. He has published numerous journal and conference papers, as well as book chapters in areas of his expertise. In addition, a book that deals with the application of reduced-order models to complex simulation-based problems has been published by Springer in 2019 (Sub-Structure Coupling for Dynamic Analysis: Application to Complex Simulation-Based Problems Involving Uncertainty). He is preparing a new book related to the Reliability, Sensitivity and Optimization of Linear Structural Systems under Stochastic Gaussian Excitation based on Advanced Simulation Techniques. He has been invited to give lectures, keynotes, semi-plenary and plenary lectures in a number of universities and international conferences. He is member of the editorial board of several journals, and he has been guest editor of different Journals, including Computers and Structures and Mechanical Systems and Signal Processing. He is also member of the scientific committee of many international conferences and reviewer of different journals. In 2018 he was selected by the Recruitment Program of High-end Foreign Experts of the State Administration of Foreign Affairs of the People’s Republic of China.