A new method for evaluating the describing function of hysteresis-type nonlinearities

✍ Scribed by Y.H. Ku; C.F. Chen

• Publisher: Elsevier Science
• Year: 1962
• Tongue: English
• Weight: 724 KB
• Volume: 273
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(62)91097-9

✦ Synopsis

A new method is given for evaluating the describing function of hysteresis-type nonlinearities. A circle of radius A is constructed to represent a sinusoldal input A sin 0, where # = o~t. In the case of a single-valued nonlinearity, an output contour C with area A1 is sufficient to represent the output wave-shape. In the general case of double-valued nonlinearities, another output contour C' with area B1 is required to determine the general describing function. The ratio of the second area B, to the first area A~ determines the phase shift. It is to be noted that the second area B~ is directly related to the area of the hysteresis loop or the backlash.