Page 379 - Mechanical Engineers' Handbook (Volume 2)
P. 379
370 Mathematical Models of Dynamic Physical Systems
Figure 30a Describing functions for typical nonlinearities (after Refs. 9 and 10). Dead-zone nonlin-
earity: (i) nonlinear characteristic; (ii) sinusoidal input wave shape; (iii) output wave shape; (iv)
describing-function coefficients; (v) normalized describing function.
B 4
2 /2 n( t) sin td( t)
1
0
/2 (0) sin td( t) /2 KM(sin t sin t) sin td( t)
4
t 1
0 t 1 1 1
where t sin 1 (D/M). Evaluating the integrals and dividing by M yields the describing
1
function listed in Fig. 30.
