Equivalent Representation Form of Oscillators with Elastic and Damping Nonlinear Terms
Figure 3
Amplitude-time response curves of (19) and (22). The parameter values are , , , , , , , , and 0.5, 1.5, 2, and 2.75 with and . The computed parameter values are , , , , , and . (a) Amplitude-time response curves for ; (b) amplitude-time response curves for ; (c) amplitude time-response curves for ; (d) amplitude-time response curves for . Here the solid black lines represent the numerical integration solution of (19) while the red dots represent the prediction obtained by using the derived equivalent equation of motion (22).