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http://dx.doi.org/10.5139/JKSAS.2005.33.9.056

A Study on Shape Optimization of Distributed Actuators using Time Domain Finite Element Method  

Suk, Jin-Young (충남대학교 항공우주공학과)
Kim, You-Dan (서울대학교 기계항공공학부)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.33, no.9, 2005 , pp. 56-65 More about this Journal
Abstract
A dynamic analysis method that freezes a time domain by discretization and solves the spatial propagation equation has a unique feature that provides a degree of freedom on spatial domain compared with the space discretization or space-time discretization finite element method. Using this feature, the time finite element analysis can be effectively applied to optimize the spatial characteristics of distributed type actuators. In this research, the time domain finite element method was used to discretize the model. A state variable vector was used in the discretization to include arbitrary initial conditions. A performance index was proposed on spatial domain to consider both potential and vibrational energy, so that the resulting shape of the distributed actuator was optimized for dynamic control of the structure. It is assumed that the structure satisfies the final rest condition using the realizable control scheme although the initial disturbance can affect the system response. Both equations on states and costates were derived based on the selected performance index and structural model. Ricatti matrix differential equations on state and costate variables were derived by the reconfiguration of the sub-matrices and application of time/space boundary conditions, and finally optimal actuator distribution was obtained. Numerical simulation results validated the proposed actuator shape optimization scheme.
Keywords
Time domain; Spatial Propagation; Performance Index; Optimization;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 S. Narayanan, and V. Balamurugan, 'Finite Element Modeling of Piezolaminated Smart Structures for Active Vibration Control with Distributed Sensors and Actuators', Journal of Sound and Vibration, Vol. 262, No.3, 2003, pp. 529-562   DOI   ScienceOn
2 방형준, 김대현, 홍창선, 김천곤, '스마트 구조물의 동시다점 진동 취득용 안정화된 광섬유 브래그 격자 센서 시스템의 개발', 한국항공우주학회지, 제31권, 제1호, 2004, pp. 50-57
3 D. K. Anthony, 'Robustness of Optimal Design Solutions to Reduce Vibration Transmission in a Lightweight 2-D Structure', Journal of Sound and Vibration, Vol. 245, No.3, 2001, pp. 417-431   DOI   ScienceOn
4 S. Devasia, T. Meressi, B. Paden, and E. Bayo, 'Piezoeletric Actuator Design for Vibration Suppression: Placement and Sizing', Journal of Guidance, Control, and Dynamics, Vol. 16, No.5, 1993, pp. 859-864   DOI   ScienceOn
5 J. Kim, J.K. Ryou, and S. J. Kim, 'Optimal Gain Distribution for Two-Dimensional Modal Transducer and Its Implementation Usng Multi-Layered PVDF Films', Journal of Sound and Vibration, Vol. 251, No.3, 2002, pp. 395-408   DOI   ScienceOn
6 Y.J. Yan, and L.H. Yam, 'A Synthetic Analysis on Design of Optimum Control For An Optimized Intelligent Structure', Journal of Sound and Vibration, Vol. 249, No.4, 2002, pp. 775-784   DOI   ScienceOn
7 L. R. Ray, and L. Tian, 'Damage Detection in Smart Structures, Through Sensitivity Enhancing Feedback Control', Journal of Sound and Vibration, Vol. 227, No.5, 1999, pp. 987-1002   DOI   ScienceOn
8 Y. Kim, D. Kum, and C. Nam, ' Simultaneous Structural/Control Optimum Design of Composite Plate with Piezoelectric Actuators', Journal of Guidance, Control, and Dynamics, Vol.20, No.6, 1997, pp. 1111-1117   DOI   ScienceOn
9 K. Jiramoto, H. Doki, and G. Obinata, 'Optimal Sensor/Actuator Placement for Active Vibration Control Using Explicit Solution of Algebraic Riccati Equation', Journal of Sound and Vibration, Vol. 229, No.5, 1999, pp. 1057-1075   DOI   ScienceOn
10 I. Bruant, G. Coffignal, and F. Lene, 'A Methodology for Determination of Piezoelectric Actuator and Sensor Location on Beam Structures', Journal of Sound and Vibration, Vol. 243, No.5, 2001, pp. 861-882   DOI   ScienceOn
11 W. Gawronski, 'Simultaneous Placement of Actuators and Sensors', Journal of Sound and Vibration, Vol. 228, No.4, 1999, pp. 915-922   DOI   ScienceOn
12 S.M. Yang, 'Stability Analysis of Linear Structural Control Systems with Noncolocated Feedback', Computers and Structures, Vol. 62, No.4, 1997, pp. 685-690   DOI   ScienceOn
13 K. Choe, and H. Baruh, 'Actuator Placement in Structural Control', Journal of Guidance, Control, and Dynamics, Vol. 15, No.1, 1992, pp. 40-48   DOI
14 M.L. DeLorenzo, 'Sensor and Actuator Selection for Large Space Structure Control', Journal of Guidance, Control, and Dynamics, Vol. 13, No.2, 1990, pp. 249-257   DOI
15 J. Suk, and Y. Kim, 'Time Domain Finite Element Analysis of Dynamic Systems', AIAA Journal, Vol. 36, No.7, 1998, pp. 1312-1319   DOI   ScienceOn
16 C.N. Viswanathan, R.W. Longman, and P.W. Likins, 'A Degree of Controllability Definition: Fundamental Concepts and Application to Modal Systems', Journal of Guidance, Cotrol, and Dynamics, Vol. 7, No.2, 1984, pp. 222-230   DOI   ScienceOn
17 A. Arbel, 'Controllability Measures and Actuator Placement in Oscillatory Systems', International Journal of Control, Vol. 33, No.3, 1981, pp. 565-574   DOI   ScienceOn