2021
DOI: 10.1177/14644207211006840
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Parameter identification and dynamic response analysis of a modified Prandtl–Ishlinskii asymmetric hysteresis model via least-mean square algorithm and particle swarm optimization

Abstract: Hysteresis is a nonlinear phenomenon observed in the dynamic response behavior of numerous structural systems under high intensity cyclic or random loading, as well as in numerous mechanical and electromagnetic systems. For several decades, hysteretic response analysis of structural systems has been widely studied and numerous hysteresis models have been proposed and utilized in order to reproduce and better understand the complex hysteretically degrading behavior of structural systems. An important area of re… Show more

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Cited by 18 publications
(12 citation statements)
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“…Solution of differential equations ( 11), (12), and ( 20) is obtained by FD method. Equations ( 11), (12), and (20) are discretized in the whole solution-domain of beam-soil system, the horizontal solution-domain −βL ≤ x ≤ βL is divided into M 3 − 1 vertical strips, and the vertical solution-domain 0 ≤ z ≤ T is divided into N 3 − 1 horizontal strips, the grid length of horizontal and vertical strips are Δx, Δz, as shown in Figure 3. The horizontal direction denoted by i and the vertical direction denoted by j. M 1 , M 2 , M 3 are the left-end of the beam, the rightend of the beam, and the right border of the beam-soil system, respectively.…”
Section: Discrete Differential Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…Solution of differential equations ( 11), (12), and ( 20) is obtained by FD method. Equations ( 11), (12), and (20) are discretized in the whole solution-domain of beam-soil system, the horizontal solution-domain −βL ≤ x ≤ βL is divided into M 3 − 1 vertical strips, and the vertical solution-domain 0 ≤ z ≤ T is divided into N 3 − 1 horizontal strips, the grid length of horizontal and vertical strips are Δx, Δz, as shown in Figure 3. The horizontal direction denoted by i and the vertical direction denoted by j. M 1 , M 2 , M 3 are the left-end of the beam, the rightend of the beam, and the right border of the beam-soil system, respectively.…”
Section: Discrete Differential Equationsmentioning
confidence: 99%
“…Evaluation of stress and strain in an arbitrary location in soil, due to the action of external loads, has been a classical topic. [7][8][9][10][11][12][13][14][15] Traditional foundation models can be divided into two types, considering the soil as a soil-spring model, and considering soil as a continuous medium.…”
Section: Introductionmentioning
confidence: 99%
“…where ψ S is the rate of microprestress evolution and may be defined in the same way as equation (20). Based on experimental data:…”
Section: S(t)mentioning
confidence: 99%
“…Matrix Az(t) is replaced by a term f [z(t)] that considers both changing stiffness and damping properties of the system. The magnetic circuit has been studied to conclude that the "smart" base isolator can be adjusted when the system is subjected to an external uncertainty such as an earthquake [54][55][56]. Thus, an adaptive control law can be designed to meet the system uncertainty and the requirement of system adaptability.…”
Section: Rbf Based Adaptive Sliding Mode Controlmentioning
confidence: 99%