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http://dx.doi.org/10.3795/KSME-A.2004.28.2.133

An Effective Quasi-static Modeling of the Piezoelectric Benders  

Park, Jong-Kyu (포항공과대학교 대학원 기계공학과)
Moon, Won-Kyu (포항공과대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.28, no.2, 2004 , pp. 133-142 More about this Journal
Abstract
In this article, the constitutive relations of three types of piezoelectric benders, which are a unimorph bender, a bimorph bender and a triple-layer bender, are derived based on the beam theory under the quasi-static equilibrium condition. The relation coefficients are described as the geometry and material properties of the benders. More general constitutive relations involving fixed-free, fixed-roll, and fixed-simply supported boundary conditions under the inconsistent length condition between the piezoelectric layer and the nonpiezoelectric one are discussed. The complicated constitutive relations can be easily calculated and checked by using the symbolic function in ‘Mathematica’. The relation coefficients for the benders are plotted in three dimensional graph using the developed program.
Keywords
Piezoelectric; Unimorph Bender; Bimorph Bender; Triple-layer Bender; Quasi-static Model;
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