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A Variational-Asymptotic Theory of Smart Slender Structures

[+] Author Affiliations
Sitikantha Roy, Wenbin Yu

Utah State University

Paper No. IMECE2005-79587, pp. 65-72; 8 pages
doi:10.1115/IMECE2005-79587
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Aerospace
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Aerospace Division
  • ISBN: 0-7918-4210-X | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

The goal of the present work is to develop an efficient simulation tool with high-fidelity to help the engineers design and analyze smart slender structures with embedded piezoelectric materials. Actuation and sensing capabilities of piezoelectric material embedded in smart beam including geometric nonlinearity will be explored. The dimensional reduction process has been carried out using the powerful Variational Asymptotic Method. Starting from the exact three-dimensional electric-mechanically coupled enthalpy functional, the asymptotical analysis is done on the functional itself with respect to the naturally occurring small parameters. The original three-dimensional electric-mechanical problem of the slender structure is decomposed into two separate problems: a two-dimensional analysis over the cross section and a one-dimensional analysis over the beam reference line. The coupled cross-sectional analysis is being implemented in VABS, a versatile cross-sectional analysis code.

Copyright © 2005 by ASME

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