Experimental and analytical study of adaptive structures using Eigenstrain techniques

The dynamic response of an adaptive beam containing embedded mini-devices (sensors and actuators) is investigated analytically and experimentally in this paper. The dynamic model is based on Hamilton's variational principle and the mechanical interactions between the beam and the devices are modeled using Eshelby's equivalent-inclusion method. The dynamic model is verified experimentally, using a cantilever beam made of ALPLEX plastic as host material and piezoelectric devices (PZT-5H) as active mini-devices for sensing and actuation. The experimental setup is outlined and the analytical results are compared with the experimental ones. The capability of mini-actuators to change the dynamic behavior of the adaptive beam is explored for the adaptive stiffening case.

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

[2]  S. E. Burke,et al.  Active vibration control of a simply supported beam using a spatially distributed actuator , 1987, IEEE Control Systems Magazine.

[3]  Abdulmalik A. Alghamdi,et al.  Transient response of an adaptive beam with embedded piezoelectric microactuators , 1994, Smart Structures.

[4]  T. Hughes,et al.  Finite element method for piezoelectric vibration , 1970 .

[5]  Abdulmalik A. Alghamdi,et al.  Interaction mechanics between embedded microactuators and the surrounding host in adaptive structures , 1993, Smart Structures.

[6]  H. Tiersten.  Hamilton's principle for linear piezoelectric media , 1967 .

[7]  Interaction mechanics between embedded micro-actuators and the surrounding host in smart structures , 1993 .

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

[9]  Craig A. Rogers,et al.  Laminate Plate Theory for Spatially Distributed Induced Strain Actuators , 1991 .

[10]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[11]  J. L. Fanson,et al.  Active-member control of precision structures , 1989 .

[12]  M. Lin,et al.  Formulation of a beam structure with induced strain actuators based on an approximated linear shear stress field , 1992 .

[13]  Kenneth B. Lazarus,et al.  Induced strain actuation of isotropic and anisotropic plates , 1991 .

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

[15]  Satya N. Atluri,et al.  Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading , 1989 .

[16]  J. D. Eshelby.  The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

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

[18]  Abdulmalik A. Alghamdi,et al.  Experimental investigation of adaptive beam with embedded devices , 1995, Other Conferences.