2011
DOI: 10.1177/1077546311429054
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Chaotification and optimization design of a nonlinear vibration isolation system

Abstract: In this paper, the chaos method for reducing line spectra of the radiated noise of marine vessels is implemented with the application of a control scheme, that is, chaotifing the nonlinear vibration isolation system (VIS) with an external chaotic system, such as the Lorenz system families. The scheme is similar to generalized synchronization of chaos to a considerable degree. Moreover, an implicit performance-index function and optimization strategy are proposed to obtain the optimal control gain for generatin… Show more

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Cited by 11 publications
(7 citation statements)
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References 12 publications
(13 reference statements)
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“…The submarine has a shell structure, and the foundation of its machinery vibration isolation system is a flexible foundation with certain mechanical impedance, which should be regarded as an elastomer. If we only take the first modal or first-order basis function and only consider vertical vibration transmission, then the flexible foundation can be simplified as a beam or plate structure, and the single layer vibration isolation system on the flexible foundation can be simplified as two-degree-of-freedom vibration isolation system (Li et al, 2012; Yu et al, 2007). Similar to this work, the schematic diagram of the nonlinear vibration isolation system on the flexible foundation is shown in Figure 1, where M1 and M2 denote the isolated equipment and the foundation, respectively.…”
Section: Dynamic Modeling and Global Bifurcation Analysis Of The Nonlinear Vibration Isolation System On The Flexible Foundationmentioning
confidence: 99%
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“…The submarine has a shell structure, and the foundation of its machinery vibration isolation system is a flexible foundation with certain mechanical impedance, which should be regarded as an elastomer. If we only take the first modal or first-order basis function and only consider vertical vibration transmission, then the flexible foundation can be simplified as a beam or plate structure, and the single layer vibration isolation system on the flexible foundation can be simplified as two-degree-of-freedom vibration isolation system (Li et al, 2012; Yu et al, 2007). Similar to this work, the schematic diagram of the nonlinear vibration isolation system on the flexible foundation is shown in Figure 1, where M1 and M2 denote the isolated equipment and the foundation, respectively.…”
Section: Dynamic Modeling and Global Bifurcation Analysis Of The Nonlinear Vibration Isolation System On The Flexible Foundationmentioning
confidence: 99%
“…Taking the system with these parameters as the response system, the state vector is (y1,y2,y3,y4). The OPNCL coupling method is adopted to realize the generalized chaotic synchronization of the nonlinear vibration isolation system on the flexible foundation with two different parameters, which is compared with the generalized chaotic synchronization based on state feedback (Li et al, 2012).…”
Section: Numerical Simulation and Analysismentioning
confidence: 99%
“…Since the response spectra of chaotic system under harmonic excitation is continuous and weakened, the line spectra is effectively reduced. Li et al [9] used the Lorenz system family to chaotify the NVIS and proposed a strategy to obtain the optimal control gain to ensure the quality of chaotification. Due to the inherent characteristics of chaotic behavior, the amplitude of chaotic vibration is usually greater than that of its specified periodic motion.…”
Section: Introductionmentioning
confidence: 99%
“…However, in some engineering applications, it is expected that the response system and the drive system can achieve generalized chaotic synchronization with a desired manifold. For example, the wide-spectrum characteristics of chaotic signals can be used to conceal the linespectrum components in acoustic signals of underwater vehicles [31][32][33][34]. It is hoped that the modulation of radiation signals can be achieved in a desired manner to conceal the information in the original signals and improve the stealth performance of underwater vehicles.…”
Section: Introductionmentioning
confidence: 99%