Abstract
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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Bazaraa MS, Shetty CM (1979) Nonlinear programming. Theory and algorithms. Wiley, Hoboken
Chen LW, Lin CY, Wang CC (2002) Dynamic stability analysis and control of a composite beam with piezoelectric layers. Compos Struct 56:97–109
Grandhi RV (1989) Structural and control optimization of space structures. Comput Struct 31(2):139–150
Gu YX, Kang Z et al (1998) Dynamic sensitivity analysis and optimum design of aerospace structures. Int J Struct Eng Mech 6(1):31–40
Guyan RJ (1965) Reduction of stiffness and mass matrices. AlAA J 3(2):380
Hwu C, Chang WC, Gai HS (2004) Vibration suppression of composite sandwich beams. J Sound Vib 272:1–20
Kang YK, Prk HC, Kim JH, Choi SB (2002) Interaction of active and passive vibration control of laminated composite beams with piezoceramic sensors_actuators. Mater Des 23:277–286
Lamberti L, Pappalettere C (2004) Improved sequential linear programming formulation for structural weight minimization. Comput Methods Appl Mech Eng 193:3493–3521
Lin JC, Nien MH (2005) Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors. Compos Struct 70(2):170–176
Miler DF, Shim J (1987) Gradient-based combined structural and control optimization. J Guid Control 10(3):291–298
Rao SS, Venkayya VB, Khot NS (1988) Optimization of actively controlled structures using goal programming techniques. Int J Numer Methods Eng 26:183–197
Ray MC, Bhattachanrya R, Samanta B (1994) Static analysis of an intelligent structure by the finite element method. Comput Struct 52(4):617–631
Sun K, Zhang FX (1984) Piezoelectricity. Publishing House of National Defense Industry, Beijing (in Chinese)
Sze KY, Yao LQ (2000) Modeling smart structures with segmented piezoelectric sensors and actuators. J Sound Vib 235(3):495–520
Tzou HS, Gadre M (1989) Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. J Sound Vib 132(3):433–450
Wang BP (1991) Minimum-weight design of structures with natural-frequency constraints. Finite Elem Anal Des 7(4):325–329
Wang ZD, Chen SH, Han WZ (1999) Integrated structural and control optimization of intelligent structures. Eng Struct 21:183–191
Yang SH, Ngoi B (2000) Shape control of beams by piezoelectric actuators. AIAA J 38(12):2292–2298
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhao, G., Chen, B. & Gu, Y. Control–structural design optimization for vibration of piezoelectric intelligent truss structures. Struct Multidisc Optim 37, 509–519 (2009). https://doi.org/10.1007/s00158-008-0245-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-008-0245-4