Random vibration of composite structures with an attached frequency-dependent damping layer

Dai, Xiujuan J.; Lin, J. H.; Chen, H. R.; Williams, F.W.

doi:10.1016/j.compositesb.2007.01.006

Cited by 8 publications

(2 citation statements)

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“…There are not many investigations on the random vibration analysis of systems with various types of damping because of the numerical difficulty mentioned above. Only stationary random vibration analysis has been reported, for example, Dai et al (2008) studied the responses of laminated composite structures attached with a frequencydependent damping layer subjected to a stationary random excitation. In addition, for frequency-time analysis of nonstationary random vibration, a step-by-step integration must be executed at each of the frequencies involved when the numerical method is used.…”

Section: Frequency Domain Analysis Methodsmentioning

confidence: 99%

Frequency domain analysis method of nonstationary random vibration based on evolutionary spectral representation

Zhao

Ouyang

2018

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Purpose A novel frequency domain approach, which combines the pseudo excitation method modified by the authors and multi-domain Fourier transform (PEM-FT), is proposed for analyzing nonstationary random vibration in this paper. Design/methodology/approach For a structure subjected to a nonstationary random excitation, the closed-form solution of evolutionary power spectral density of the response is derived in frequency domain. Findings The deterministic process and random process in an evolutionary spectrum are separated effectively using this method during the analysis of nonstationary random vibration of a linear damped system, only modulation function of the system needs to be estimated, which brings about a large saving in computational time. Originality/value The method is general and highly flexible as it can deal with various damping types and nonstationary random excitations with different modulation functions.

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Section: Frequency Domain Analysis Methodsmentioning

confidence: 99%

Frequency domain analysis method of nonstationary random vibration based on evolutionary spectral representation

Zhao

Ouyang

2018

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“…Other types of frequency dependent dampers, refer to Kuo et al [28], Stollwitzer et al [29], Jith and Sarkar [30], Zhou et al [31], Zarraga et al [32], Xie et al [33,34], Hu et al [35], Rouleau et al [36], Hamdaoui et al [37], Deng et al [38], Dai et al [39], Adessina et al [40], Chang et al [41], Lin et al [42], Dai et al [43], Catania and Sorrentino [44,45], Zhang and Turner [46], Yoshida et al [47],…”

Section: Remarksmentioning

confidence: 99%

Analytical Theory of Fractional Vibrations

2024

Preprint

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This paper revisits the analytical theory of fractional vibrations with the highlights in five aspects. First, we address the cases of structures with frequency dependent mass or damping or stiffness in Sections 2-4. Second, we introduce the theory based on the general second-order vibration motion equation with frequency dependent elements (mass, damping, stiffness) in Sections 5-7. Third, we present the analytical theory of seven specific classes of second-order vibration systems with frequency dependent mass or damping or stiffness in Sections 8 and 9. Fourth, we bring forward the analytical theory of seven classes of fractional vibration systems in Sections 10-12. Finally, as an application, we give the closed form expression of the forced response to multi-fractional Euler-Bernoulli beam in Section 13. The explanation of the nonlinearity of fractional vibrations is given in Section 14.

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Connecting parameters optimization on unsymmetrical twin-tower structure linked by sky-bridge

Sun

Liu

Zhu

2014

J. Cent. South Univ.

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Random vibration of composite structures with an attached frequency-dependent damping layer

Cited by 8 publications

References 20 publications

Frequency domain analysis method of nonstationary random vibration based on evolutionary spectral representation

Frequency domain analysis method of nonstationary random vibration based on evolutionary spectral representation

Analytical Theory of Fractional Vibrations

Connecting parameters optimization on unsymmetrical twin-tower structure linked by sky-bridge

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