TORSIONAL ACTUATION OF ORTHOTROPIC BEAM USING INCLINED PIEZOELECTRIC PATCHES

Document Type : Original Article

Authors

Egyptian Armed Forces.

Abstract

ABSTRACT
The objective of this research is to develop a finite element model for the analysis of
the static response of a composite compressor blade subjected to extension,
transverse, and torsion loads in addition to the torsion actuation due to the
piezoelectric patches. The equation of motion is derived based on classical beam
theory with warping effect is taken into consideration, using the principle of the
virtual displacement of the structure system. A one dimensional linear isoperimetric
element with Lagrange and hermit cubic shape functions is used to model the axial
and transverse deformation. A two end nodes and an intermediate one as well are
implemented for modeling the torsion deformation. The bending, torsion and axial
coupling are introduced in the stiffness and mass matrices. The electric potential is
treated as a generalized electric coordinates like the generalized displacement
coordinates. A MATLAB interactive code is developed to solve a blade with
mechanical and electrical loads. The obtained results are found reasonable.

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