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

共 50 条

[31] Vanishing of the costate in pontryagin’s maximum principle and singular time optimal controls
H. O. Fattorini
[J]. Journal of Evolution Equations, 2004, 4 : 99 - 123
[32] The attainable region and Pontryagin's maximum principle
McGregor, C
Glasser, D
Hildebrandt, D
[J]. INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1999, 38 (03) : 652 - 659
[33] Regularizing Properties of Pontryagin's Maximum Principle
Sumin, M. I.
Trushina, E. V.
[J]. RUSSIAN MATHEMATICS, 2008, 52 (01) : 59 - 71
[34] Regularizing properties of Pontryagin’s maximum principle
M. I. Sumin
E. V. Trushina
[J]. Russian Mathematics, 2008, 52 (1) : 59 - 71
[35] Optimal Contract Design of Supplier-Led Outsourcing Based on Pontryagin Maximum Principle
Jianxiong Zhang
Lin Feng
Wansheng Tang
[J]. Journal of Optimization Theory and Applications, 2014, 161 : 592 - 607
[36] Regularizing properties of Pontryagin’s maximum principle
M. I. Sumin
E. V. Trushina
[J]. Russian Mathematics, 2008, 52 (1) : 59 - 71
[37] Geometric Approach to Pontryagin’s Maximum Principle
M. Barbero-Liñán
M. C. Muñoz-Lecanda
[J]. Acta Applicandae Mathematicae, 2009, 108 : 429 - 485
[38] Optimal Contract Design of Supplier-Led Outsourcing Based on Pontryagin Maximum Principle
Zhang, Jianxiong
Feng, Lin
Tang, Wansheng
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 161 (02) : 592 - 607
[39] Comparative Study of Pontryagin Maximum Principle and Direct Method in Aircraft Optimal Control Design
Korsun, O. N.
Stulovskii, A. V.
Gulevich, S. P.
[J]. 2019 WORKSHOP ON MATERIALS AND ENGINEERING IN AERONAUTICS, 2020, 714
[40] Geometric Approach to Pontryagin's Maximum Principle
Barbero-Linan, M.
Munoz-Lecanda, M. C.
[J]. ACTA APPLICANDAE MATHEMATICAE, 2009, 108 (02) : 429 - 485

← 1 2 3 4 5 →