Analysis and Numerical Evaluation of H∞ and H2 Optimal Design Schemes for an Electromagnetic Shunt Damper

Ao, Wai Kei; Reynolds, Paul

doi:10.1115/1.4045455

Cited by 7 publications

(5 citation statements)

References 30 publications

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“…Minimizing the peak response of the structure is important in the vibration control of tall buildings. The H∞ norm [61,62], a prevalent indicator, is extensively used in optimizing damper designs. A key advantage for applying the H∞ norm to linear systems is the achievement of the desired results independently of specific excitations.…”

Section: H∞ Norm Of the Nsbd-tall Building Systemmentioning

confidence: 99%

Equivalent Linearization and Parameter Optimization of the Negative Stiffness Bistable Damper

Fan,

Huang,

Huo

2024

Buildings

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The negative stiffness bistable damper (NSBD) was proposed to suppress structural dynamic responses in our previous study. The vibration mitigation performance of the NSBD is influenced by its design parameters, including negative stiffness, cubic stiffness, and damping coefficients. However, it is extremely challenging to directly acquire the ideal design parameters of the NSBD owing to its inherent nonlinearity. To address this disadvantage, the optimal design approach for the NSBD, based on the equivalent linearization method (ELM) and genetic algorithm (GA), is presented in this paper. The nonlinear NSBD system can be transformed to a linear system utilizing the ELM based on the pseudo-excitation method (PEM). The linearization model that corresponds to the nonlinear NSBD is fairly accurate in its approximation and can be indicated from the numerical results. Then, the main structure’s peak response is minimized through the optimization of the design parameters of the NSBD using the H∞ norm and GA. Moreover, the proposed approach’s effectiveness is assessed using the optimal parameters to calculate the displacement responses of a tall building equipped with the NSBD during various seismic excitations. As revealed by the numerical results, the displacement of the tall building can be effectively restrained by the optimized NSBD.

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Section: H∞ Norm Of the Nsbd-tall Building Systemmentioning

confidence: 99%

Equivalent Linearization and Parameter Optimization of the Negative Stiffness Bistable Damper

Fan,

Huang,

Huo

2024

Buildings

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“…In suppressing the seismic responses of a tall building to avoid its damage, the primary purpose is to minimize the peak structural response. As an indicator of the structural dynamic performance, the H∞ norm (Ao and Reynolds, 2020; Raze and Kerschen, 2021; Tang et al, 2016; Ye and Nyangi, 2020) has been widely utilized in the parameter optimization of vibration control devices. The advantage of using the H∞ norm of the linearized system as the optimization objective is that the acquired results are unrelated to the specific excitations.…”

Section: Optimal Design Of the Iptmdmentioning

confidence: 99%

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Huang

Huo

2022

Advances in Structural Engineering

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The isochronous-pendulum tuned mass damper (IPTMD) with curved supports was proposed to eliminate the loss of vibration control performance induced by large swing angles in our previous study. However, the nonlinearity caused by the IPTMD leads to difficulty in its parameter optimization. To overcome this issue, an approach based on the equivalent linearization method (ELM) and genetic algorithm (GA) is proposed in this paper to facilitate the optimal design of the IPTMD. First, based on the pseudo excitation method, the nonlinear IPTMD system is equivalent to a linear one using the ELM. The numerical results demonstrate that the equivalent linearization model of the IPTMD is fairly precise to approximate the original nonlinear IPTMD. Then the optimal design based on the H∞ norm and GA is performed to compute the design parameters of the IPTMD, which can minimize the peak response of the main structure. Additionally, to evaluate the effectiveness of the proposed approach, the optimal parameters are applied to compute the dynamic response of a tall building installed with the IPTMD under different earthquakes. The numerical results reveal that the optimized IPTMD can reduce the displacement of the tall building effectively.

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“…However, adapting EMSD to larger structures like spacecraft presents challenges [17]. These include the need for larger capacitors and optimal external resistance values [18][19][20]. Researchers like Stabile et al [6] used NR-EMSD to reduce spacecraft micro vibrations.…”

Section: Introductionmentioning

confidence: 99%

Vibration control by using active electromagnetic shunt damper

Chen,

Mao,

Yuan

2024

Smart Mater. Struct.

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It is well-known that the traditional electromagnetic shunt damping (EMSD) techniques are limited by the damping force of electronic components and require a negative resistance (NR) shunt circuit to enhance performance. However, the NR shunt circuit could lead to the EMSD system being unstable. Addressing this, this study proposes an advanced control system that employs active control technology combined with EMSD for vibration control. We first developed a dimensionless mathematical model of the control system, which was then finely tuned using an adaptive simulated annealing particle swarm optimization (ASAPSO) algorithm. Subsequently, the relationship between control gain and optimal shunt circuit parameters was predicted using a BP neural network. Finally, the proposed Active-EMSD (AEMSD) was experimentally verified. The experimental results demonstrate that the proposed AEMSD not only surpasses traditional thresholds but also excels in isolating low-frequency vibrations. Compared to traditional EMSD, the proposed AEMSD showed improved effectiveness.

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Analysis and Numerical Evaluation of H∞ and H2 Optimal Design Schemes for an Electromagnetic Shunt Damper

Cited by 7 publications

References 30 publications

Equivalent Linearization and Parameter Optimization of the Negative Stiffness Bistable Damper

Equivalent Linearization and Parameter Optimization of the Negative Stiffness Bistable Damper

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Vibration control by using active electromagnetic shunt damper

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