Piezoelectric actuator and sensor models for a shell under pressure

Akhilesh K. Jha; Daniel J. Inman

doi:10.1117/12.474692

15 July 2002 Piezoelectric actuator and sensor models for a shell under pressure

Akhilesh K. Jha, Daniel J. Inman

Proceedings Volume 4701, Smart Structures and Materials 2002: Smart Structures and Integrated Systems; (2002) https://doi.org/10.1117/12.474692
Event: SPIE's 9th Annual International Symposium on Smart Structures and Materials, 2002, San Diego, California, United States

Abstract

Inflatable structures have been a subject of renewed interest in recent years for space applications. Actuators and sensors made of piezoelectric materials are recently being considered for the vibration and shapes control of such structures. This study is directed towards developing actuator and sensor models of piezoelectric films attached to an inflatable structure, which can be modeled as a shell under pressure. The derivations are made using the definitions of strain energy and kinetic energy. We use Sanders' shell theory to model the vibration of shell and derive the constitutive equations for combinations of shell and piezoelectric patches in unimorph and bimorph configurations. Equations of motion for the shell vibrating in the presence of actuators have been obtained. The inertia terms in the equations of motion are modified in order to account for the mass of the actuators. The generalized forces due to piezoelectric actuators are found. Finally, a sensor equation is provided.

Citation Download Citation

Akhilesh K. Jha and Daniel J. Inman "Piezoelectric actuator and sensor models for a shell under pressure", Proc. SPIE 4701, Smart Structures and Materials 2002: Smart Structures and Integrated Systems, (15 July 2002); https://doi.org/10.1117/12.474692

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