caa a22 4500 463243609 CHVBK 20180405153319.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00158-007-0099-1 doi (NATIONALLICENCE)springer-10.1007/s00158-007-0099-1 The FEM optimization of active vibration control in structures by solving the corresponding two-point-boundary-value problem [Elektronische Daten] [W. Szyszkowski, M. Baweja] 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. Springer-Verlag Berlin Heidelberg, 2007 Optimal vibration control nationallicence Finite elements nationallicence Actuators action nationallicence Szyszkowski W. Department of Mechanical Engineering, University of Saskatchewan, S7N 5A9, Saskatoon, Saskatchewan, Canada aut Baweja M. Department of Mechanical Engineering, University of Saskatchewan, S7N 5A9, Saskatoon, Saskatchewan, Canada aut Structural and Multidisciplinary Optimization Springer-Verlag 34/6(2007-12-01), 525-537 1615-147X 34:6<525 2007 34 158 https://doi.org/10.1007/s00158-007-0099-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-007-0099-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Szyszkowski W. Department of Mechanical Engineering, University of Saskatchewan, S7N 5A9, Saskatoon, Saskatchewan, Canada aut NATIONALLICENCE 700 1- Baweja M. Department of Mechanical Engineering, University of Saskatchewan, S7N 5A9, Saskatoon, Saskatchewan, Canada aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 34/6(2007-12-01), 525-537 1615-147X 34:6<525 2007 34 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer