Sensitivity analysis of anti-resonance frequency for vibration test control of a fixture

Jeong, Weui-Bong; Yoo, Wan-Suk; Kim, Jun Yeop

doi:10.1007/bf02983603

Cited by 15 publications

(4 citation statements)

References 2 publications

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“…The action of SAR has also been studied (e.g., [3]) in the context of squid giant axons and the potential for therapeutic neurological applications was pointed out. Other antiresonance applications may also be found, for instance, in electronics and in mechanical engineering (e.g., [4][5][6]) for the vibration-suppression of certain components of the system. One may even consider the option of applying SAR as an alternative to deterministic adaptive controllers for neuromodulation (e.g., [7]).…”

Section: Introductionmentioning

confidence: 99%

Stochastic Antiresonance for Systems with Multiplicative Noise and Sector-Type Nonlinearities

Stoica,

Yaesh

2024

Entropy

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The paradigm of stochastic antiresonance is considered for a class of nonlinear systems with sector bounded nonlinearities. Such systems arise in a variety of situations such as in engineering applications, in physics, in biology, and in systems with more general nonlinearities, approximated by a wide neural network of a single hidden layer, such as the error equation of Hopfield networks with respect to equilibria or visuo-motor tasks. It is shown that driving such systems with a certain amount of state-multiplicative noise, one can stabilize noise-free unstable systems. Linear-Matrix-Inequality-based stabilization conditions are derived, utilizing a novel non-quadratic Lyapunov functional and a numerical example where state-multiplicative noise stabilizes a nonlinear system exhibiting chaotic behavior is demonstrated.

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Section: Introductionmentioning

confidence: 99%

Stochastic Antiresonance for Systems with Multiplicative Noise and Sector-Type Nonlinearities

Stoica,

Yaesh

2024

Entropy

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“…Anti-resonance is employed to minimize unwanted vibrations of certain parts of a system in mechanical engineering and aerospace industries. In the vibration control of fixture, controlling anti-resonant frequencies is more important than resonant frequencies since the worst case can occur at anti-resonance [18,19]. In a vibratory structural system an addition of mass is found to shift the resonant frequencies without affecting the anti-resonant frequencies [20].…”

Section: Introductionmentioning

confidence: 99%

Multiple resonance and anti-resonance in coupled Duffing oscillators

et al. 2015

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We investigate the resonance behaviour in a system composed by n-coupled Duffing oscillators where only the first oscillator is driven by a periodic force, assuming a nearest neighbour coupling. We have derived the frequency-response equations for a system composed of two-coupled oscillators by using a theoretical approach. Interestingly, the frequency-response curve displays two resonance peaks and one anti-resonance. A theoretical prediction of the response amplitudes of two oscillators closely match with the numerically computed amplitudes. We analyse the effect of the coupling strength on the resonance and anti-resonance frequencies and the response amplitudes at these frequencies. For the ncoupled oscillators system, in general, there are n-resonant peaks and (n − 1) anti-resonant peaks. For large values of n, except for the first resonance, other resonant peaks are weak due to linear damping. The resonance behaviours observed in the n-coupled Duffing oscillators are also realized in an electronic analog circuit simulation of the equations. Understand- ing the role of coupling and system size has the potential applications in music, structural engineering, power systems, biological networks, electrical and electronic systems.

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“…A test fixture is modelled and analysed by using finite element analysis by Sowjanya, et al 4 Some methods are proposed on structural dynamics modification for vibration test fixtures. 5,6 Methods of structural dynamic response optimization of fixtures have been reported. 7,8 A complete background on fixture design for vibration and shock testing can be found in the literature.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of a Vibration Text Fixture

Barros¹,

Souto²

2017

IJAV

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Mechanical vibration tests require the use of vibrators, power amplifiers, accelerometers, and closed loop control systems. A device is needed to connect physically the specimen to be tested to the vibrator table referred to as vibration test fixture. To verify and validate a fixture to be used, an evaluation of its dynamical behaviour is mandatory. The fixture natural frequencies must be higher than the maximum test frequency. In this work, some issues about electrodynamic vibrators and fixtures are revised and the behaviour of a real fixture is analysed numerically and experimentally. The fixture natural frequencies and its response to a harmonic acceleration applied on its bottom surface are evaluated by using the finite element method. A real test was performed by applying slow swept sine acceleration to the fixture mounted in an electrodynamic vibrator and measuring its response. The effect of the closed loop control system on the fixture response is evaluated. It is shown that the control system plays an important role in the definition of the fixture useful operating frequency range.

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Sensitivity analysis of anti-resonance frequency for vibration test control of a fixture

Cited by 15 publications

References 2 publications

Stochastic Antiresonance for Systems with Multiplicative Noise and Sector-Type Nonlinearities

Stochastic Antiresonance for Systems with Multiplicative Noise and Sector-Type Nonlinearities

Multiple resonance and anti-resonance in coupled Duffing oscillators

Evaluation of a Vibration Text Fixture

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