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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 5, Pages 46–50 (Mi vmumm349)

Mechanics

A new method for exactly solving the bending problem for a hingedly supported plate under the action of a piezoelectric actuator

I. I. Stepanenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The exact solution based on the Navier solution of the bending problem for a simply supported rectangular orthotropic Kirchhoff–Love plate under the action of a piezoelectric actuator in the form of an eigenfunction series is obtained.

Key words: Kirchhoff–Love plate theory, piezoelectricity, series, eigenfunctions.

UDC: 539.32

Received: 17.03.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:5, 114–118

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