Active vibration control of composite sandwich beams with piezoelectric extension-bending and shear actuators

• Published in: Smart materials and structures Vol. 11; no. 1; pp. 63 - 71
• Main Authors: Raja, S, Prathap, G, Sinha, P K
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.02.2002; Institute of Physics
• Subjects: Applied sciences; Computational techniques; Computer science; control theory; systems; Control system analysis; Control theory. Systems; Exact sciences and technology; Finite-element and galerkin methods; Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Constitutive equation; Sandwich structure; Quasi static theory; Numerical method; Linear control; Modeling; Adaptive method; Composite material; Finite element method; LQ control; Composite beam; Active system; Vibration control
• ISSN: 0964-1726; 1361-665X
• DOI: 10.1088/0964-1726/11/1/307

We have used quasi-static equations of piezoelectricity to derive a finite element formulation capable of modeling two different kinds of piezoelastically induced actuation in an adaptive composite sandwich beam. This formulation is made to couple certain piezoelectric constants to a transverse electric field to develop extension-bending actuation and shear-induced actuation. As an illustration, we present a sandwich model of three sublaminates: lace/core/face. We develop a control scheme based on the linear quadratic regulator/independent modal space control (LQR/IMSC) method and use this to estimate the active stiffness and the active damping introduced by shear and extension-bending actuators. To assess the performance of each type of actuator, a dynamic response study is carried out in the modal domain. We observe that the shear actuator is more efficient in actively controlling the vibration than the extension-bending actuator for the same control effort. (Author)