A Solution Algorithm for a Modified Bouc-Wen Model Capable of Simulating Cyclic Softening and Pinching Phenomena
Raffaele Capuano, Nicolò Vaiana, Davide Pellecchia, Luciano Rosati
Abstract
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.
Topics & Concepts
SolverMATLABSofteningAlgorithmBackward Euler methodNewton's methodDisplacement (psychology)Euler's formulaComputer scienceApplied mathematicsVariable (mathematics)HysteresisMathematicsControl theory (sociology)DiscretizationMathematical optimizationMathematical analysisNonlinear systemPhysicsPsychotherapistArtificial intelligenceQuantum mechanicsPsychologyOperating systemControl (management)StatisticsMagnetic Properties and ApplicationsForce Microscopy Techniques and ApplicationsVibration and Dynamic Analysis