Nonlinear Dynamical Research Of The Shape Memory Alloy Composite Plates

Shape memory alloy (SMA) is a new type of functional materials, it has shape memory characteristics, variable stiffness characteristics, super-elastic characteristics etc..Make advantage of this materials. But the shape memory alloy in stress and temperature under the action of hysteresis effect, stress-strain relationship to form closed loop cannot use the traditional behind to continuous function with piecewise function, usually expressed through numerical calculation, to study. So, the thorough analysis, thus dynamics theory of seriously hindered the memory alloy material research and its wide application.In this paper, the modeling methods of shape memory alloy based on hysteretic nonlinear theory and Partial least-square regression analysis theor was studied. The strain-stress hysteretic nonlinear model was set up where nonlinear differential item was introduced. Considering the effect of temperature on the characteristics of SMA, the strain-stress-temperature continuous nonlinear mechanical model was set up where Partial least-square regression analysis theory was introduced.Founding on Elastic plate theory and Galerkin method, I build the model of a Shape memory alloy composite plates, and solute the nonlinear first-order approximate solution of this system, gain the phase diagram and time history charts combining theoretical analysis with numerical simulation, and discuss the effect of system parameters on the characteristics of system dynamics.The results will stimulate the study of the shape memory alloys's constitutive model and engineering application, and has important doctrinal importance and referential value.