Presentation 2017-07-13
Vibration Suppression Control of Free-fixed Euler-Bernoulli Beams via a Blending Method of Discrete Mechanics and Nonlinear Optimization
Tatsuya Kai, Kohei Yamaki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) This research develops a new control method for free-fixed Euler-Bernoulli beams based on a blending method of discrete mechanics and nonlinear optimization. First, discrete Euler-Lagrange equations and discrete boundary equations are derived under the assumption on free boundary conditions as fundamental equations of motions for systems in discrete mechanics. Next, for a discrete mechanics model with control inputs, a finite-dimensional nonlinear optimal control problem is formulated by setting an objective function, and it is shown that a optimal control inputs can be obtained by solving the optimal control problem with the sequential quadratic programming method. Then, the proposed control method is applied to a vibration suppression problem of free-fixed Euler-Bernoulli beams, and it turns out that the vibration of the beam is suppressed and the whole of the beam is stabilized at the desired time from the results of numerical simulations.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Discrete Mechanics / Distributed Parameter Mechanical Systems / Nonlinear Optimal Control / Nonlinear Optimization / Free-fixed Euler-Bernoulli Beam / Vibration Suppression Control
Paper # NLP2017-28
Date of Issue 2017-07-06 (NLP)

Conference Information
Committee NLP
Conference Date 2017/7/13(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Miyako Island Marine Terminal
Topics (in Japanese) (See Japanese page)
Topics (in English) etc.
Chair Masaharu Adachi(Tokyo Denki Univ.)
Vice Chair Norikazu Takahashi(Okayama Univ.)
Secretary Norikazu Takahashi(Nagaoka Univ. of Tech.)
Assistant Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.)

Paper Information
Registration To Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Vibration Suppression Control of Free-fixed Euler-Bernoulli Beams via a Blending Method of Discrete Mechanics and Nonlinear Optimization
Sub Title (in English)
Keyword(1) Discrete Mechanics
Keyword(2) Distributed Parameter Mechanical Systems
Keyword(3) Nonlinear Optimal Control
Keyword(4) Nonlinear Optimization
Keyword(5) Free-fixed Euler-Bernoulli Beam
Keyword(6) Vibration Suppression Control
1st Author's Name Tatsuya Kai
1st Author's Affiliation Tokyo University of Science(Tokyo Univ. of Science)
2nd Author's Name Kohei Yamaki
2nd Author's Affiliation Tokyo University of Science(Tokyo Univ. of Science)
Date 2017-07-13
Paper # NLP2017-28
Volume (vol) vol.117
Number (no) NLP-121
Page pp.pp.1-6(NLP),
#Pages 6
Date of Issue 2017-07-06 (NLP)