Accurate and highly efficient algorithms for structural stationary/non-stationary random responses

Lin, J. H.; Zhao, Yan; Zhang, Yahui

doi:10.1016/s0045-7825(01)00247-x

Cited by 144 publications

(60 citation statements)

References 15 publications

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“…As the PEM is a highly efficient algorithm for analysing stochastic vibration of linear system, which transforms a stationary random vibration analysis into a deterministic harmonic analysis, it can easily solve these two problems by constructing the pseudoexcitation as equation (20) and analysing the corresponding pseudoresponse and can realise spectrum analysis by vector multiplication calculation of the pseudoresponse. Moreover, the PEM can deal with the coherent stochastic loads of the system by constructing proper pseudoexcitation.…”

Section: Road Roughnessmentioning

confidence: 99%

Random vibration of vehicle with hysteretic nonlinear suspension under road roughness excitation

Hua

Zhao

et al. 2018

Advances in Mechanical Engineering

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The analysis of random vibration of a vehicle with hysteretic nonlinear suspension under road roughness excitation is a fundamental part of evaluation of a vehicle's dynamic features and design of its active suspension system. The effective analysis method of random vibration of a vehicle with hysteretic suspension springs is presented based on the pseudoexcitation method and the equivalent linearisation technique. A stable and efficient iteration scheme is constructed to obtain the equivalent linearised system of the original nonlinear vehicle system. The power spectral density of the vehicle responses (vertical body acceleration, suspension working space and dynamic tyre load) at different speeds and with different nonlinear levels of hysteretic suspension springs are analysed, respectively, by the proposed method. It is concluded that hysteretic nonlinear suspensions influence the vehicle dynamic characteristic significantly; the frequencyweighted root mean square values at the front and rear suspensions and the vehicle's centre of gravity are reduced greatly with increasing the nonlinear levels of hysteretic suspension springs, resulting in better ride comfort of the vehicle.

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Section: Road Roughnessmentioning

confidence: 99%

Random vibration of vehicle with hysteretic nonlinear suspension under road roughness excitation

Hua

Zhao

et al. 2018

Advances in Mechanical Engineering

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“…(9) can be written as: d is the distance between spatial supports k and l along the wave propagation direction, and app υ is the apparent wave velocity of seismic motions. In this paper, the lagged coherency model in Lin's paper [22] is used, which is given by: . Earthquake ground motions are non-stationary, because they initially grow from zero, and then have a steady phase, eventually decaying.…”

Section: And (I )mentioning

confidence: 99%

“…where 1 t , 2 t and c are the shape-control parameters of the time modulating function, and they are given as 1 [22]. If (t) 1 G = , this will be a stationary stochastic process of earthquake excitations.…”

Section: And (I )mentioning

confidence: 99%

Analysis of a high-pier railway bridge under spatial stochastic stationary and non-stationary earthquake excitations

et al. 2016

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Original scientific paper The objectives of this paper are to perform a comparative analysis of the large-scale system of a high-pier railway bridge subjected to stationary and nonstationary spatially varying earthquake excitations using the pseudo-excitation method (PEM), and to estimate whether or not the non-stationary stochastic analysis of the high-pier railway bridges under tri-directional spatial ground motions can be simplified into a stationary random analysis to avoid excessive computation. Based on the finite element software ANSYS, the stationary and non-stationary stochastic excitations analyses of a high-pier bridge were transformed into harmonic analyses and deterministic transient analyses in the study, respectively, by using PEM. The wave-passage effect and the incoherence effect were modelled as the key factors, a total of twelve cases were considered to investigate the wave-passage effect and incoherence effect on the seismic response of a high-pier railway bridge under stationary and non-stationary earthquake excitations. Results show that structural responses under stationary excitation are larger than those under non-stationary by considering either the wave-passage effect or the incoherence effect. Through comparing structural responses under stationary excitation with those under non-stationary one, all the growth rates are less than 25 %, which is acceptable in engineering, meaning that a non-stationary stochastic analysis of high-pier railway bridges under tri-directional spatial ground motions can be simplified into a stationary analysis to avoid excessive computation.Keywords: high-pier railway bridge; incoherence effect; non-stationary stochastic excitation; pseudo-excitation method; wave-passage effect Analiza željezničkog mosta na visokim stupovima pod prostornim stohastičkim stacionarnim i ne-stacionarnim uzbudama potresaIzvorni znanstveni članak Ciljevi ovoga rada su provesti komparativnu analizu velikog sustava željezničkog mosta na visokim stupovima izloženog stacionarnim i ne-stacionarnim prostorno promjenjivim uzbudama potresa primjenom metode pseudo-uzbude (pseudo-excitation method -PEM), te procijeniti može li se ili ne može nestacionarna stohastička analiza željezničkih mostova na visokim stupovima izloženih trosmjernim prostornim podzemnim gibanjima zamijeniti jednostavnijom stacionarnom slučajnom analizom kako bi se izbjegla prekomjerna računanja. Zasnovane na ANSYS softveru konačnih elemenata, analize stacionarnih i ne-stacionarnih stohastičkih uzbuda mosta na visokim stupovima pretvorile su se u harmonične analize i determinističke prijelazne analize u našem istraživanju, primjenom PEM-a. Učinak prolaza vala i učinak nekoherentnosti modelirani su kao ključni čimbenici, a ukupno je razmotreno dvanaest slučajeva u svrhu ispitivanja učinka prolaza vala i učinka nekoherentnosti na seizmičku reakciju željezničkog mosta na visokim stupovima izloženog stacionarnim i ne-stacionarnim uzbudana potresa. Rezultati pokazuju da je reakcija konstrukcije pod stacionarnom uzbudom veća ...

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“…For the description of the non-homogeneous field f 1 (x, y) in Eq. (3), an evolutionary form of the spectral representation method is implemented [14,23,24]. The evolutionary power spectrum adopted in the present study is assumed to be uncoupled with respect to the axial and circumferential directions of the cylinder, since this is implied by the experimental measurements [14,17].…”

Section: Imperfect Geometry Of the Axially Compressed Cylindermentioning

confidence: 99%

A computationally efficient method for the buckling analysis of shells with stochastic imperfections

Papadopoulos¹,

Charmpis

Papadrakakis³

2008

Comput Mech

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A computationally efficient method is presented for the buckling analysis of shells with random imperfections, based on a linearized buckling approximation of the limit load of the shell. A Stochastic Finite Element Method approach is used for the analysis of the "imperfect" shell structure involving random geometric deviations from its perfect geometry, as well as spatial variability of the modulus of elasticity and thickness of the shell, modeled as random fields. A corresponding eigenproblem for the prediction of the buckling load is solved at each MCS using a Rayleigh quotient-based formulation of the Preconditioned Conjugate Gradient method. It is shown that the use of the proposed method reduces drastically the computational effort involved in each MCS, making the implementation of such stochastic analyses in real-world structures affordable.

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Accurate and highly efficient algorithms for structural stationary/non-stationary random responses

Cited by 144 publications

References 15 publications

Random vibration of vehicle with hysteretic nonlinear suspension under road roughness excitation

Random vibration of vehicle with hysteretic nonlinear suspension under road roughness excitation

Analysis of a high-pier railway bridge under spatial stochastic stationary and non-stationary earthquake excitations

A computationally efficient method for the buckling analysis of shells with stochastic imperfections

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