The essence and deficiency of the conventional modelling method based on exponentially damped oscillatory waves are analyzed, and an improved modelling method based on the distortion phenomenon in propagation of the vibration signals of circuit breakers is proposed.

Based on the Impact Dynamics,introduce the definition of energy transfer efficiency,major compact component properties,calculation method and formula of energy transfer efficiency under the effect of both rectangular wave and exponential decay wave as well as an example.

First the image was transformed into diagonal one,reserving the correlations between variations of rows and those of columns of the image,then an image with definite size was obtained by using wavelet transform,and finally the susceptivity of algorithm to the change of illumination was reduced by using exponential decay strategy.

Moreover,by study the asymptotic behavior of solutions for the ablve problem,that the energy is exponential decay in time was.

In this paper, we study the existence, uniqueness and exponential decay of the global solution for the systemwith initial conditionsHere |·|2 is the norm in L~2(0,L) , u is the transverse displacement of the string, d is the temperature and M,N and R are real nonlinear functions.