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Optimal design of a torsional shaft system using Pontryagin’s Maximum Principle |
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| Authors: | Minh-Quy Le Duc-Trung Tran Hai-Le Bui |
| Institution: | 1.Department of Mechanics of Materials, School of Mechanical Engineering,Hanoi University of Science and Technology,Hanoi,Vietnam;2.International Center for Computational Materials Science,Hanoi University of Science and Technology,Hanoi,Vietnam |
| Abstract: | 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. |
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