The Vibration Analysis Of Intelligent Materials In The Spherical Symmetry

Intelligent structure system which is composed of intelligent materials is a kind of defense structure system possessing self-sensing,self-diagnosing,self-adapting and harm self-healing up functions. Piezo-electric-magnetic material is a new kind of intelligent material which is widely used in super-precisely location,production with laser,NC lathes robots and valve. So it has become necessary to study its dynamic character.This paper first studied the response of general elastic materials under simple harmonic load in the space spherical symmetry and gave the instant response and steady-state response of them, then the analytical solutions of variables such as displacement,stress and strain were obtained. Based on the above, the piezoelectric materials were considered. Not accounting body weight,body charge or body current, from the movement equation,gradient equation and constructive equation combining with piezoelectric effect, the steady-state response under simple harmonic load and electric potential was studied and the analytical solutions of displacement,stress and strain,electro-displacement,electric field intensity and electric potential variables were presented. Then considering the electromagnetic coupling effect, the piezo-electric-magnetic materials were discussed. Not accounting body weights body charge or body current, from the movement equation,gradient equation and constructive equation, the steady-state solutions of variables such as displacement,stress and strain,electro-displacement,electric field intensity,electric potential,magnetic induction,magnetic field intensity,magnetic potential under simple harmonic load,electric potential and magnetic potential were deduced.Finally, this paper compared the mechanical physical variables between general elastic materials,piezoelectric materials and piezo-electric-magnetic materials , and the electric physical variables between piezoelectric materials and piezo-electric-magnetic materials through numerical example, came to the conclusion that the physical performances of piezoelectric materials are superior to that of general elastic materials and the physical performances of piezo-electric-magnetic materials are superior to that of piezoelectric materials.