Research on Viscoelastic Fractional Order Model Under Harmonic Excitation
The viscoelastic fractional order constitutive model is studied based on harmonic excitation(sine).Because the frac-tional order derivative of sine function has the same form as the integer order derivative,the linear model is expressed as a single fractional order derivative term,and the complex modulus is calculated and the response characteristics are analyzed.The nonlin-ear parameters can be easily identified by expressing the fractional order nonlinear model in harmonic form.Finally,the fractional order nonlinear model is transformed into integer order nonlinear form,and the parameters are fitted and verified with the 4 Hz test data in refdrence[17]in the form of fifth-order harmonic.The results show that the ADF model fits the test data better than the fractional-order model at a small strain of 10%.With the increase of strain,the fractional order model fits the test data more and more than ADF model.
万方数据
维普
