The simulation of active control of the shape and vibration of piezoelectric, Magneto-electro-elastic and FGM structures

Abstract

This paper presents an investigation for analysis of the multi-field coupling problems of piezoelectric, Magneto-electro-elastic and functionally graded materials. A novel solid shell element formulation is developed by using the assumed natural strain and enhanced assumed strain method, the number of internal degree of freedoms is remarkably reduced and the computational efficiency is improved. The electrical degree of freedoms and expense of data reading, storage, computation are greatly reduced due to a new interpolation function of electric potential. This element can be used as solid element and can also be used to model thin curved shell structures. Even for a thin plate/shell with very small thickness to length ratio, the predictions of this element are satisfactory.