NDLI: The FEM optimization of active vibration control in structures by solving the corresponding two-point-boundary-value problem

Content Provider	Springer Nature Link
Author	Szyszkowski, W. Baweja, M.
Copyright Year	2007
Abstract	An algorithm for solving optimal active vibration control problems by the finite element method (FEM) is presented. The optimality equations for the problem are derived from Pontryagin’s principle in the form of a set of the fourth order ordinary differential equations that, together with the initial and final boundary conditions, constitute the boundary value problem in the time domain, which in control is referred to as a two-point-boundary-value problem. These equations decouple in the modal space and can be solved by the FEM technique. An analogy between the optimality equations and the governing equations for a set of certain static beams permits obtaining numerical solutions to the optimal control problem with the help of standard ‘structural’ FEM software. The optimal action of actuators is automatically calculated by applying the independent modal space control concept. The structure’s response to actuation forces is also determined and can independently be verified for spillover effects. As an illustration, the algorithm is used for the analysis of optimal action of actuators to attenuate vibrations of an elastic fin.
Starting Page	525
Ending Page	537
Page Count	13
File Format	PDF
ISSN	1615147X
Journal	Structural and Multidisciplinary Optimization
Volume Number	34
Issue Number	6
e-ISSN	16151488
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-03-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimal vibration control Finite elements Actuators action Engineering Design Numerical and Computational Methods in Engineering Computer-Aided Engineering (CAD, CAE) and Design Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software

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