Optimal design of a torsional shaft system using Pontryagin’s Maximum Principle

被引:0
|
作者
Minh-Quy Le
Duc-Trung Tran
Hai-Le Bui
机构
[1] Hanoi University of Science and Technology,Department of Mechanics of Materials, School of Mechanical Engineering
[2] Hanoi University of Science and Technology,International Center for Computational Materials Science
来源
Meccanica | 2012年 / 47卷
关键词
Multi-objective optimal design; Pontryagin’s Maximum Principle; Tuned mass damper; Natural frequencies;
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中图分类号
学科分类号
摘要
Optimal problems are investigated in the present work in order to control the natural frequencies of a torsional shaft system including the total weight constraint and effects of tuned mass dampers. Maier objective functional is used. Pontryagin’s Maximum Principle is employed to derive necessary optimality conditions of the optimal problems. Numerical simulations are performed to study effects of tuned mass dampers on controlling natural frequencies as well as minimizing the system’s weight. Advantages of the proposed method are also discussed.
引用
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页码:1197 / 1207
页数:10
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