A Solution Algorithm for a Modified Bouc-Wen Model Capable of Simulating Cyclic Softening and Pinching Phenomena

The paper illustrates an extension of a solution algorithm required to evaluate the output variable of a modified Bouc-Wen model, namely a differential model capable of simulating generalized force-displacement hysteresis loops exhibiting cyclic softening and/or pinching. The proposed solution scheme has been derived by adopting the Backward Euler Method in conjunction with the Newton-Raphson iterative procedure. In order to demonstrate the accuracy and the computational efficiency of the proposed algorithm, the results of numerical simulations are compared to those obtained by employing the widely used MATLAB ode45 solver. Copyright (C) 2022 The Authors.

Automated summary

The paper presents an extension of a solution algorithm for evaluating the output variable of a modified Bouc-Wen model, which can simulate cyclic softening and pinching. The proposed algorithm combines the Backward Euler Method with the Newton-Raphson iterative procedure, and its accuracy and computational efficiency are demonstrated through numerical simulations compared to the widely used MATLAB ode45 solver.