Abstract
Based on the Bouc-Wen model, a nonlinear hysteretic restoring force model is established with dynamic equations. The hardening and softening of the material after reaching the yield limit are described by the nonlinear restoring force-displacement hysteretic curve. The Gamultiobj algorithm and the group search optimization (GSO) algorithm are used to fit and identify the material softening and hardening hysteresis curves, respectively. The effectiveness of the optimization algorithm for identifying the parameters of the hysteretic model is verified, and the optimization effects of the two algorithms are compared. The results show that the Gamultiobj algorithm has better parameter identification ability and curve fitting ability for the hysteretic model. Then, the hysteresis curve describing the nonlinear characteristics of a clamp is obtained through the static stiffness experiment of the clamp. The experimental curve is fitted by the Gamultiobj algorithm. As a result, the nonlinear Bouc-Wen model parameters of the clamp are obtained, and the stiffness and damping of the clamp are recognized. The distribution statistics of the obtained parameters are performed, and it is found that each parameter satisfies a certain probability distribution, which indicates that the parameter identification result is reasonable.
Highlights
The external piping system is an important part of the aero engine, and it plays an important role in transporting energy
Chai et al [5] based on the static stiffness experiment of the clamp, discretized the clamp into springs and dampers, and established the single-clamp and dual-clamp pipeline models by finite element method, calculated the natural frequency and dynamic response
In this paper, the nonlinear hysteretic restoring force expression of a clamp vibration system is determined based on the Bouc-Wen model, and the restoring forcedisplacement hysteretic curve model is established
Summary
The external piping system is an important part of the aero engine, and it plays an important role in transporting energy. Chai et al [5] based on the static stiffness experiment of the clamp, discretized the clamp into springs and dampers, and established the single-clamp and dual-clamp pipeline models by finite element method, calculated the natural frequency and dynamic response. Talatahari [18] proposed an adaptive charged system search (CSS) optimization method to identify the parameters of Bouc-Wen model This method has great robustness and accuracy, and can be successfully applied to strong nonlinear recognition problems. Ye et al [20] used the Bouc-Wen model to describe the softening and hardening of the material after reaching the yield limit, and used the improved PSO algorithm proposed to effectively complete the parameter identification of the hysteretic model. The results proved the applicability of the proposed model to the nonlinearity of the clamp, realized the parametric modeling of the clamp, and completed the identification of the stiffness and damping of the clamp
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