Finite element model for active control of intelligent structures

A generalized finite element formulation for active vibration control of a laminated plate integrated with piezoelectric polymer layers acting as distributed sensors and actuators is presented. An eight-noded two-dimensional quadratic quadrilateral isoparametric element is derived for modeling the global coupled electroelastic behavior of the overall structure using higher-order shear deformable displacement theory. The procedure is illustrated with a simply supported plate in which the substrate is a symmetric (0/90/0 deg) graphite-epoxy laminate, and the sensor and actuator layers are made of polyvinylidene fluoride. Results show that significant reduction in vibration amplitude occurs because of increased damping through feedback.

[1]  R. Christensen,et al.  A High-Order Theory of Plate Deformation—Part 2: Laminated Plates , 1977 .

[2]  M. Preiswerk,et al.  An analysis of vibration control using piezoceramics in planar flexible-linkage mechanisms , 1994 .

[3]  H. Tzou,et al.  Active vibration isolation by polymeric piezoelectret with variable feedback gains , 1988 .

[4]  H. S. Tzou Distributed Modal Identification and Vibration Control of Continua: Theory and Applications , 1990, 1990 American Control Conference.

[5]  J. Reddy A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[6]  W. Hwang,et al.  Vibration Control of a Laminated Plate with Piezoelectric Sensor/Actuator: Finite Element Formulation and Modal Analysis , 1993 .

[7]  C. I. Tseng,et al.  Distributed structural dynamics control of flexible manipulators—II. Distributed sensor and active electromechanical actuator , 1990 .

[8]  H. Tzou,et al.  Active vibration isolation and excitation by piezoelectric slab with constant feedback gains , 1990 .

[9]  N. Pagano,et al.  Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates , 1970 .

[10]  K. Chandrashekhara,et al.  Active Vibration Control of Laminated Composite Plates Using Piezoelectric Devices: A Finite Element Approach , 1993 .

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

[12]  J. Reddy,et al.  THEORIES AND COMPUTATIONAL MODELS FOR COMPOSITE LAMINATES , 1994 .

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

[14]  C. R. Fuller,et al.  Active control of sound transmission through elastic plates using piezoelectric actuators , 1991 .

[15]  Daniel J. Chiarappa,et al.  Deformable Mirror Surface Control Techniques , 1981 .

[16]  Tarun Kant,et al.  Free vibration of symmetrically laminated plates using a higher‐order theory with finite element technique , 1989 .

[17]  M. C. Ray,et al.  Exact Solutions for Static Analysis of Intelligent Structures , 1993 .

[18]  Ohseop Song,et al.  Application of adaptive technology to static aeroelastic control of wing structures , 1992 .

[19]  W. Hwang,et al.  Finite Element Modeling of Piezoelectric Sensors and Actuators , 1993 .

[20]  S. Poh,et al.  Performance of an active control system with piezoelectric actuators , 1988 .

[21]  Hung-Sying Jing,et al.  Partial hybrid stress element for the analysis of thick laminated composite plates , 1989 .

[22]  Ernest Otto Doebelin,et al.  Measurement Systems Application and Design , 1966 .

[23]  Samuel W. Sirlin Vibration isolation for spacecraft using the piezoelectric polymer PVF2 , 1987 .

[24]  S. Poh,et al.  Experimental implementation of the modified independent modal space control method , 1990 .

[25]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[26]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[27]  Fu-Kuo Chang,et al.  Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators , 1992 .

[28]  Sathya Hanagud,et al.  OPTIMAL VIBRATION CONTROL BY THE USE OF PIEZOCERAMIC SENSORS AND ACTUATORS , 1992 .

[29]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[30]  C. I. Tseng,et al.  Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach , 1990 .