Control–structural design optimization for vibration of piezoelectric intelligent truss structures

Based on the design sensitivity analysis for structural dynamics in time domain, an integrated control–structural design optimization method is proposed to the vibration control of piezoelectric intelligent truss structure. In this investigation, the objective function and constraint functions include not only the conventional design indexes of structure but also the vibration control indexes and the feedback control variables. The structural design variables are optimized simultaneously with the vibration control system. The sensitivity relations for the control–structure optimization model are derived by using a new method, and the sequential linear programming algorithm is used to solve this kind of optimization problem. The numerical examples given in the paper demonstrate the effectiveness of methods and the program.

[1]  B. Samanta,et al.  Static analysis of an intelligent structure by the finite element method , 1994 .

[2]  Peter Schlattmann,et al.  Theory and Algorithms , 2009 .

[3]  Horn-Sen Tzou,et al.  Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls , 1989 .

[4]  Ramana V. Grandhi,et al.  Structural and control optimization of space structures , 1989 .

[5]  Chung-Yi Lin,et al.  Dynamic stability analysis and control of a composite beam with piezoelectric layers , 2002 .

[6]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[7]  David F. Miller,et al.  Gradient-based combined structural and control optimization , 1987 .

[8]  Zhan Kang,et al.  Dynamic sensitivity analysis and optimum design of aerospace structures , 1998 .

[9]  K. Sze,et al.  MODELLING SMART STRUCTURES WITH SEGMENTED PIEZOELECTRIC SENSORS AND ACTUATORS , 2000 .

[10]  Singiresu S Rao,et al.  Optimization of actively controlled structures using goal programming techniques , 1988 .

[11]  Jin-Chein Lin,et al.  Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors , 2005 .

[12]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[13]  Luciano Lamberti,et al.  Improved sequential linear programming formulation for structural weight minimization , 2004 .

[14]  Chyanbin Hwu,et al.  Vibration suppression of composite sandwich beams , 2004 .

[15]  R. Guyan.  Reduction of stiffness and mass matrices , 1965 .

[16]  Bo Ping Wang.  Minimum-weight design of structures with natural-frequency constraints , 1990 .

[17]  Bryan Kok Ann Ngoi,et al.  Shape Control of Beams by Piezoelectric Actuators , 2000 .

[18]  Jaehwan Kim,et al.  Interaction of active and passive vibration control of laminated composite beams with piezoceramic sensors/actuators , 2002 .

[19]  Suhuan Chen,et al.  Integrated structural and control optimization of intelligent structures , 1999 .