Topology optimization of damping material for reducing resonance response based on complex dynamic compliance

Takezawa, Akihiro; Daifuku, Masafumi; Nakano, Youhei; Nakagawa, Kohya; Yamamoto, Takashi; Kitamura, Mitsuru

doi:10.1016/j.jsv.2015.11.045

Cited by 65 publications

(19 citation statements)

References 32 publications

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“…It can be known that the linear variation of peak value for SFR is more obvious. In order to reduce the cold vibration factor, the precision of processing and installing [15] should be improved, which can especially reduce the initial value of disk thickness variation and side face run-out. Fig.…”

Section: Effect Of Dtv and Sfrmentioning

confidence: 99%

Research on cold mechanical vibration of air-cooled disc brake

Zhang¹,

Zhang²

2019

J. vibroeng.

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Cold mechanical vibration of air-cooled brake disc is mainly caused by the non-uniform geometry, including disk thickness variation (DTV) and side face run-out (SFR). A mathematical model consisting of the non-uniform geometry is constructed, which is imported into the dynamic brake model established by Lagrange equation as initial parameters. The braking moment fluctuation during braking process is obtained by MATLAB software. The experimental verification is realized based on Link3900 NVH test platform, where result shows that the calculated brake pressure is quite consistent with the test value. By single variable method, the key influence factor that affected braking moment fluctuation is analyzed, including DTV, SFR, friction coefficient, contact stiffness coefficient and damping coefficient. The conclusion shows that reducing these parameters within a certain range can significantly reduce the amplitude of cold vibration, except for the contact damping coefficient.

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Section: Effect Of Dtv and Sfrmentioning

confidence: 99%

Research on cold mechanical vibration of air-cooled disc brake

Zhang¹,

Zhang²

2019

J. vibroeng.

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“…Ling et al [9] extended Mohanmmed's work to optimize the viscoelastic materials distribution in CLD using the solid isotropic material with penalization (SIMP) model and the method of moving asymptote (MMA) approach. Lots of optimization approaches for vibration and noise control using damping treatments [10,11] are carried out based on the SIMP method due to its easy implementation.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Free Damping Treatments on Plates Using Level Set Method

Pang

Zheng

Yang

et al. 2020

Shock and Vibration

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Application of level set method to optimize the topology of free damping treatments on plates is investigated. The objective function is defined as a combination of several desired modal loss factors solved by the finite element-modal strain energy method. The finite element model for the composite plate is described as combining the level set function. A clamped rectangle composite plate is numerically and experimentally analyzed. The optimized results for a single modal show that the proposed method has the possibility of nucleation of new holes inside the material domain, and the final design is insensitive to initial designs. The damping treatments are guided towards the areas with high modal strain energy. For the multimodal case, the optimized result matches the normalized modal strain energy of the base plate, which would provide a simple implementation way for industrial application. Experimental results show good agreements with the proposed method. The experimental results are in good agreement with the optimization results. It is very promising to see that the optimized result for each modal has almost the same damping effect as that of the full coverage case, and the result for multimodal gets moderate damping at each modal.

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“…Olhoff and Du (2014) proposed a topology optimization method for the design of continuum structures subjected to time-harmonic force. Some works have been devoted to topology optimization of damping layers (Kang et al, 2012; Takezawa et al, 2015) and acoustic structures (Kim and Yoon, 2015; Zhang and Kang, 2013). Nakasone and Silva (2010) and Da Silva et al (2014) proposed the topology optimization method for reducing the vibration level of the smart structures by taking the electro-mechanical coupling factor of piezoelectric structures as the objective function.…”

Section: Introductionmentioning

confidence: 99%

Layout design of piezoelectric patches in structural linear quadratic regulator optimal control using topology optimization

Zhang

Kang

2018

Journal of Intelligent Material Systems and Structures

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This article investigates topology optimization for piezoelectric thin-shell structures under the linear quadratic regulator optimal control. In the optimization model, the structural dynamic compliance is taken as the measure of control performance, and the relative densities describing the distribution of the piezoelectric material are considered as design variables. An artificial material model with penalization on both mechanical and piezoelectric properties is employed. For the purpose of improving computational efficiency of the sensitivity and response analysis, modal superposition method is adopted. The derivative of the Riccati equation governing the linear quadratic regulator control with respect to the design variables is shown to be a Lyapunov equation. In conjunction with the adjoint variable method, the design sensitivities of the dynamic compliance are obtained using the solution of the Lyapunov equation. Numerical examples demonstrate the validity of the proposed method and show the significance of layout design of piezoelectric sensors/actuators. The influences of some key factors on the optimization solutions are discussed. It is shown that the optimized layout of the piezoelectric patches may be significantly influenced by the excitation frequency, but only slightly affected by the choice of the weighting matrix in the linear quadratic regulator control. This work aims to provide an efficient gradient-based mathematical programming method for guiding the layout design of actuators and sensors in smart structures under optimal vibration control. However, the considered model is a purely mathematical one without consideration of engineering realization, thus the optimization result may only serve as an upper bound for practically realizable control performance.

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Topology optimization of damping material for reducing resonance response based on complex dynamic compliance

Cited by 65 publications

References 32 publications

Research on cold mechanical vibration of air-cooled disc brake

Research on cold mechanical vibration of air-cooled disc brake

Topology Optimization of Free Damping Treatments on Plates Using Level Set Method

Layout design of piezoelectric patches in structural linear quadratic regulator optimal control using topology optimization

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