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

被引：3

作者：

Minh-Quy Le ^{[1
,2
]}

Duc-Trung Tran ^{[1
]}

Hai-Le Bui ^{[1
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Mech Engn, Dept Mech Mat, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Int Ctr Computat Mat Sci, Hanoi, Vietnam

来源：

MECCANICA | 2012年 / 47卷 / 05期

关键词：

Multi-objective optimal design; Pontryagin's Maximum Principle; Tuned mass damper; Natural frequencies; OPTIMAL SHAPE; ROTATING ROD; COLUMN;

D O I：

10.1007/s11012-011-9504-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

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

页码：1197 / 1207

页数：11

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