On the distribution of nonlinear effects in locally nonlinear one-dimensional chain type structures

Peng, Z.K.; Meng, Guang; Lang, Zi–Qiang; Chu, Fulei; Billings, S.A.

doi:10.1016/j.ijmecsci.2011.01.003

Cited by 4 publications

(2 citation statements)

References 61 publications

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“…Peng and Lang (2007, 2009) and Peng et al. (2010 and 2011) extended the concept of transmissibility to the nonlinear systems using the concept of nonlinear output frequency response functions (NOFRFs). And, based on this new concept, a technique was proposed and applied to detect and locate the damage in a three-storey building structure.…”

Section: Introductionmentioning

confidence: 99%

Local variation detection in MDOF system using wavelet based transmissibility and its application in cracked beam

Dong

Peng

et al. 2015

Journal of Vibration and Control

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Since the local stiffness or damping variation happens when damage occurs in engineer structures, it is useful to detect the local variation as a way for structural damage inspection. As a vibration based approach, transmissibility has attracted considerable interest because of its convenience and effectiveness in damage detection. However, using the traditional Fourier transform, it should be very careful to select the frequency bands in transmissibility calculation. Inappropriate choice of frequency band could cause a complete inaccurate result. For unknown damage detection, it is difficult to select the frequency band which eigen-frequency should be included. This paper proposes a novel method using wavelet based transmissibility for local variation detection. Benefiting from the ability in subtle information acquisition of wavelet transform, it is useful in reducing the influence of frequency bands to the indicators. Analytical derivation using wavelet balance method and numerical studies of a multiple degree of freedom (MDOF) system are carried out to verify the effectiveness of the proposed method. In the last section, the method is applied for detecting crack position in cantilever beam with analysis of its sensitivity to frequency bands and measurement inaccuracies.

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Section: Introductionmentioning

confidence: 99%

Local variation detection in MDOF system using wavelet based transmissibility and its application in cracked beam

Dong

Peng

et al. 2015

Journal of Vibration and Control

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“…For example, Lin [36,37] and Ewins [36] proposed a method to locate the nonlinearities by correlating analytical model with measured vibration test data; Al-Hadid and Wright [38] developed procedures based on the well-known time-domain restoring force surface (RFS) method; Trendafilova et al [39] discussed procedures using pattern recognition tools for the localization of nonlinearities in structures. This technique was built on the comparison between the signals from the linear structure and the signals from the corresponding nonlinear one; Peng et al [40][41][42] studied the distribution of nonlinear effects in the one-dimensional chain type structures, which can be utilized to determine the location of the nonlinearity; Lang et al [43] extended the transmissibility to nonlinear cases by introducing NOFRFs to propose a method to locate the nonlinear damage in MDOF engineering structures. Josefsson et al [44] proposed a method based on the RP methodology and the coherence functions to find the most possible position where the nonlinearity is located.…”

Section: Introductionmentioning

confidence: 99%

A forward selection reverse path method for spatial location identification of nonlinearities in MDOF systems

et al. 2015

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Many kinds of nonlinear engineering structures have nonlinear components which are spatially localized. For these structures, it is usually needed to determine locations and types of nonlinearities firstly to make the subsequent procedure of parameter estimation more efficient and accurate. This paper presents a new approach to identify all the locations of possible nonlinearities in a multiple-degree-of-freedom structure. The method is a spectral approach since it is based on the reverse path method. Moreover, as a forward selection approach, it is able to identify nonlinearities of different types and locations one by one. This forward selection characteristic makes the method able to suffer less computational burden than using an iterate brute-force method when there exist multiple nonlinearities in the structure and the number of possible nonlinearities to be verified is large. Also, the method only needs one single excitation point which could be located at any node in the structure and no prior information about the underlying linear system is needed. Electronic supplementary materialThe online version of this article (

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Location identification of nonlinearities in MDOF systems through order determination of state-space models

et al. 2016

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On the distribution of nonlinear effects in locally nonlinear one-dimensional chain type structures

Cited by 4 publications

References 61 publications

Local variation detection in MDOF system using wavelet based transmissibility and its application in cracked beam

Local variation detection in MDOF system using wavelet based transmissibility and its application in cracked beam

A forward selection reverse path method for spatial location identification of nonlinearities in MDOF systems

Location identification of nonlinearities in MDOF systems through order determination of state-space models

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