Optimal damped vibration absorber for narrow band random excitations: A mixed H2/H\infty optimization

Sinha, Alok

doi:10.1016/j.probengmech.2008.06.005

Cited by 10 publications

(4 citation statements)

References 5 publications

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“…For transient vibration, we assume t b =0 and for steady state, t b =-∞. In the last case, equations ( 9) and (10) have the forms…”

Section: Formulation Of the Problem And General Solutionsmentioning

confidence: 99%

“…The topic of dynamic vibration absorbers (DVAs) or tuned mass dampers (TMD) is well established in literature. The action of the absorber is accepted as a deterministic [5][6][7][8][9] or random process [10][11][12][13][14][15][16][17][18][19][20]. A large number of studies have been conducted to optimise the design parameters, and hence maximise the performance of vibration absorbers.…”

Section: Introductionmentioning

confidence: 99%

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Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

Grosel

Podwórna

2021

Studia Geotechnica Et Mechanica

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The paper focuses on the problem of optimising the cooperation between a dynamic vibration absorber (DVA) and a structure. The authors analyse a road beam bridge equipped with a working platform (deck) used to service pipelines installed on the structure. The paper studies the problem of choosing the optimal parameters for damping absorbers that reduce the random vibration of a beam subjected to a random sequence of moving forces with a constant velocity. The stochastic properties of the load are modelled by means of a filtering Poisson process. A single-degree-of-freedom (SDOF) absorber model with a multi-degree-of-freedom (MDOF) primary structure model are is considered.

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“…For transient vibration, we assume t b =0 and for steady state, t b =-∞. In the last case, equations ( 9) and (10) have the forms…”

Section: Formulation Of the Problem And General Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

Grosel

Podwórna

2021

Studia Geotechnica Et Mechanica

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“…For example, Park [2] utilized magneto-rheological dampers to control car vibrations due to random road conditions. To suppress vibrations under narrow-band excitations, Sinha [3] proposed a mixed H 2 /H ∞ optimization method for a vibration absorber. A hybrid vibration absorber was proposed in [4] for random vibration control of cantilever beams.…”

Section: Introductionmentioning

confidence: 99%

Random Vibration Suppression of a Truss Core Sandwich Panel Using Independent Modal Resonant Shunt and Modal Criterion

Guo

2017

Applied Sciences

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Abstract:The aim of this paper is to suppress the random spatial vibration of the face sheet of a lightly damped truss core sandwich panel structure. Because broad-bandwidth vibration energy is concentrated in resonance peaks for lightly damped structures, an independent modal resonant shunt control method is utilized to add damping ratios to the chosen modes. In this method, each piezoelectric transducer is connected to a single resonant shunt which is tuned to control the vibration of a single mode. An H 2 norm sensitivity-based modal criterion is proposed in order to determine which modes to control under a given bandwidth of excitation and input-output condition. Numerical simulation is implemented while control strategies with different controlled modes are compared. The result shows that the independent modal resonant shunt control method can suppress random vibration response of the face sheet by using only a few piezoelectric transducers, and the proposed modal criterion can be used to determine which modes to control.

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“…And there are several techniques of disturbance rejection. In the case of undeterministic disturbances, the robust H ∞ controller design [1] and its optimization problem [2] have been investigated by many researches. In the case of deterministic disturbances, various control techniques have been applied such as internal model control [3,4], adaptive control [5,6], predictive control [7], feedforward and feedback control [8].…”

Section: Introductionmentioning

confidence: 99%

Disturbance Rejection for Discrete-Time Linear Systems with Time-Delays via Internal Model Principle

Liu²,

Gao

et al. 2014

AMM

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Optimal damped vibration absorber for narrow band random excitations: A mixed H2/H\infty optimization

Cited by 10 publications

References 5 publications

Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

Random Vibration Suppression of a Truss Core Sandwich Panel Using Independent Modal Resonant Shunt and Modal Criterion

Disturbance Rejection for Discrete-Time Linear Systems with Time-Delays via Internal Model Principle

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