Finite element analysis of nonlinear shell structures with uncertain material property

Chang, T.-P.; Liu, Mei-Feng; Chang, Heui-Yung

doi:10.1016/j.tws.2008.01.017

Cited by 12 publications

(7 citation statements)

References 31 publications

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“…The iteration repeats until the above criterion is less than a tolerance. The brief procedures of iteration scheme are stated as follows [22]:…”

Section: Discussionmentioning

confidence: 99%

Research on local rub fault transfer mechanism in rotor system

Zhong¹,

Xu²,

Liu³

et al. 2017

J. vibroeng.

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The major purpose of this study is to research the local rub fault transfer mechanism in rotor system, that is, the influence of local faults on the whole rotor system. The proposed rotor model is based on Euler-Bernoulli beam finite elements. The dynamic model takes into account the gyroscopic moment of rotor as well as the elastic support. The local rub fault is equivalent to external excitation in the equations of motion. The local rub fault transfer mechanism derives from the harmonic balance theory by the relationship between the harmonic components of vibration response and the frequency domain response matrices. The response of any other nodes in the rotor system is obtained by the transfer mechanism. Effectiveness and robustness of the transfer mechanism are verified by numerical simulation and experiments. The transfer mechanism has a good applicability for the main vibration faults in rotor system such as rub, misalignment and crack.

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“…The iteration repeats until the above criterion is less than a tolerance. The brief procedures of iteration scheme are stated as follows [22]:…”

Section: Discussionmentioning

confidence: 99%

Research on local rub fault transfer mechanism in rotor system

Zhong¹,

Xu²,

Liu³

et al. 2017

J. vibroeng.

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“…By Ś niady et al [46] a probabilistic dynamic analysis of a structure with uncertain parameters under stochastic excitations is shown. Statistical dynamic responses of geometrically nonlinear shells with stochastic Young's modulus are considered by Chang et al [47], where the stochastic finite element method with the perturbation technique and the Newton-Raphson iteration procedure are applied. Axial vibrations of a finite micro-periodic rod with uncertain parameters under a moving random load are analysed by Mazur-Ś niady et al [48], where the perturbation method is used and the tolerance averaging approach is applied to pass from differential equations with periodic coefficients to differential equations with constant coefficients.…”

Section: Introductionmentioning

confidence: 99%

The effect of uncertain material properties on free vibrations of thin periodic plates

Jędrysiak

Ostrowski

2017

Meccanica

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Thin periodic plates with uncertain properties in a periodicity cell are investigated. To describe dynamics of these plates the non-asymptotic tolerance modelling method, cf. Woźniak and Wierzbicki (Averaging techniques in thermomechanics of composite solids. Wydawnictwo Politechniki Często-chowskiej, Częstochowa, 15), Woźniak et al. (eds.) (Thermomechanics of microheterogeneous solids and structures. Tolerance averaging approach. Wydawnictwo Politechniki Łódzkiej, Łódź, 16), for those plates is applied. The governing equations of tolerance models based on this method take into account the effect of period lengths on the overall behaviour of the plate. Hence, the additional effects of the periodicity can be analysed, as higher order vibrations. Moreover, properties of the plate in the periodicity cell are determined uncertainly. To analyse an influence of random variables of the properties with a fixed probability distribution on vibrations of the plate the Monte Carlo analysis is applied.

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“…Although there are many limits to the SPFEM, it is still widely used for two reasons; Kamiński (2010), Kamiński (2013), Kamiński (2011), Wang and Yao (2010), , Kamiński and Szafran (2009), Chang et al (2008). The first reason is that the SPFEM is often more efficient than other stochastic approaches, and the second one is that for a real engineering structure with random material and geometric parameters, the coefficients of variation of these random parameters are usually small.…”

Section: Introductionmentioning

confidence: 99%

A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method

2015

Lat. Am. j. solids struct.

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A modified computational scheme of the stochastic perturbation finite element method (SPFEM) is developed for structures with low-level uncertainties. The proposed scheme can provide secondorder estimates of the mean and variance without differentiating the system matrices with respect to the random variables. When the proposed scheme is used, it involves finite analyses of deterministic systems. In the case of one random variable with a symmetric probability density function, the proposed computational scheme can even provide a result with fifth-order accuracy. Compared with the traditional computational scheme of SPFEM, the proposed scheme is more convenient for numerical implementation. Four numerical examples demonstrate that the proposed scheme can be used in linear or nonlinear structures with correlated or uncorrelated random variables.

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Finite element analysis of nonlinear shell structures with uncertain material property

Cited by 12 publications

References 31 publications

Research on local rub fault transfer mechanism in rotor system

Research on local rub fault transfer mechanism in rotor system

The effect of uncertain material properties on free vibrations of thin periodic plates

A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method

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