A generalized class of uniaxial rate-independent models for simulating asymmetric mechanical hysteresis phenomena

• Published in: Mechanical systems and signal processing Vol. 146; p. 106984
• Main Authors: Vaiana, Nicolò, Sessa, Salvatore, Rosati, Luciano
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Ltd 01-01-2021; Elsevier BV
• Subjects: Accuracy; Asymmetric mechanical hysteresis; Asymmetry; Computational efficiency; Hysteresis loops; Mathematical analysis; Mathematical models; Mechanical hysteresis; Mechanical systems; Nonlinear analysis; Rate-independent model; Simulation; Accuracy; Rate-independent model; Computational efficiency; Asymmetric mechanical hysteresis
• ISSN: 0888-3270; 1096-1216
• DOI: 10.1016/j.ymssp.2020.106984

•A class of uniaxial asymmetric models is presented.•The proposed models require only one history variable.•The generalized force is evaluated by solving a scalar equation.•Asymmetric Bilinear and Exponential Models are presented as instances of the class.•The AEM accuracy and efficiency are experimentally and numerically assessed.
We extend a recently developed class of uniaxial symmetric rate-independent models to simulate complex asymmetric mechanical hysteresis phenomena. The main features of the novel formulation, that allows for the evaluation of the generalized force by solving a scalar equation and employing only one history variable, are illustrated by developing two specific instances of the class, namely the Asymmetric Bilinear and Exponential Models. The former is presented to better illustrate the meaning of the quantities entering the proposed formulation; the latter, representing a more sophisticated model able to simulate a wide range of asymmetric hysteretic behaviors, is illustrated to demonstrate the potentialities of the class in terms of accuracy and computational efficiency. To validate the Asymmetric Exponential Model, some experimental hysteresis loops, selected from the literature, are numerically simulated. Then, some nonlinear time history analyses are performed on a single degree of freedom mechanical system and the numerical results obtained by means of the proposed model are compared to those obtained by employing a modified version of the Bouc-Wen model.