Integrated topology optimization and optimal control for vibration suppression in structural design

被引:0
作者
Alexandre Molter
Otávio A. A. da Silveira
Valdecir Bottega
Jun S. O. Fonseca
机构
[1] Federal University of Pelotas,Department of Mathematics and Statistics
[2] State University of Santa Catarina,Department of Mechanical Engineering
[3] Federal University of Rio Grande do Sul,Department of Mechanical Engineering
来源
Structural and Multidisciplinary Optimization | 2013年 / 47卷
关键词
Topology optimization; Control; Vibration;
D O I
暂无
中图分类号
学科分类号
摘要
This paper presents a topology design methodology for structures with active vibration control. The methodology takes into account the structural effect of the control forces and includes the modal control design. Location points for the actuation forces are chosen a priori. Structural topology optimization is used for distributing material on a fixed domain, using continuum finite element discretization for the static and free vibration analyses. Optimal control for transient response in modal space is used to derive the control force. The cost function for the optimization combines the strain energy and the control energy. Results of the numerical simulations validates the proposed methodology.
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页码:389 / 397
页数:8
相关论文
共 32 条
[1]  
Bendsøe MP(1988)Generating optimal topologies in structural design using a homogenization method Comput Methods Appl Mech Eng 71 197-224
[2]  
Kikuchi N(1999)Material interpolation schemes in topology optimization Arch Appl Mech 69 635-654
[3]  
Bendsøe MP(2003)Complexity control in the topology optimization of continuum structures J Braz Soc Mech Sci Eng 3 293-301
[4]  
Sigmund O(1992)Solution to shape and topology eigenvalue optimization problems using a homogenization method Int J Numer Methods Eng 35 1487-1502
[5]  
Cardoso EL(2009)Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads Struct Multidisc Optim 38 171-183
[6]  
Fonseca JSO(2009)Topology optimization of space vehicle structures considering attitude control effort Finite Elem Anal Des 45 431-438
[7]  
Díaz AR(2008)Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs Smart Mater Struc 17 1-15
[8]  
Kikuchi N(2010)Simultaneous piezoelectric actuator and sensor placement optimization and control design of manipulators with flexible links using SDRE method Math Probl Eng 2010 1-23
[9]  
Donoso A(1996)Optimal design of controlled structures Struct Optim 11 19-28
[10]  
Sigmund O(1996)Integrated optimal structural and vibration control design Struct Optim 12 209-216