Stochastic vibration of laminated composite coated beam traversed by a random moving load

Zibdeh, H.S.; Abu-Hilal, M.

doi:10.1016/s0141-0296(02)00181-5

Cited by 40 publications

(22 citation statements)

References 13 publications

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“…These errors are associated with "numerical damping" and "period elongation". For large multi degree of freedom structural systems the time step limit, given by equation (9), can be written in a more usable form as…”

Section: Stability Of Newmark Methodsmentioning

confidence: 99%

Vibration Analysis Of Beam Subjected To Moving Loads Using Finite Element Method

Mehmood¹

2014

IOSRJEN

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-It was purposed to understand the dynamic response of beam which are subjected to moving point loads. The finite element method and numerical time integration method (Newmark method) are employed in the vibration analysis. The effect of the speed of the moving load on the dynamic magnification factor which is defined as the ratio of the maximum dynamic displacement at the corresponding node in the time history to the static displacement when the load is at the mid -point of the structure is investigated. The effect of the spring stiffness attached to the frame at the conjunction points of beam and columns are also evaluated. Computer codes written in Matlab are developed to calculate the dynamic responses. Dynamic responses of the engineering structures and critical load velocities can be found with high accuracy by using the finite element method

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Section: Stability Of Newmark Methodsmentioning

confidence: 99%

Vibration Analysis Of Beam Subjected To Moving Loads Using Finite Element Method

Mehmood¹

2014

IOSRJEN

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“…(4) contains both a double summation and a double integration and so involves quite difficult computation. Sometimes some of the associated computation time is saved by neglecting the cross-correlation between the modal responses [1,2,11,12], i.e. by assuming that R ϕiϕj (t, t) = 0 when i = j.…”

Section: The Non-stationary Responses Of Structures Subjected To Movimentioning

confidence: 99%

“…Sniady et al [6] assumed the load to be a set of point forces of random amplitude and stochastic velocity for which the inter-arrival time was a Poisson process and hence they obtained the solution for the probabilistic characteristics of beams by applying Ito integral and differentiation rules. Zibdeh and his co-authors [7][8][9][10][11] were also active in this area as follows: Ref. [7] was concerned with higher order moments of a simply supported elastic beam subjected to a stream of random moving loads of Poissonian type, in both the transient and steady states; Ref.…”

Section: Introductionmentioning

confidence: 99%

“…[9] investigated the statistical response moments of beams with general boundary conditions and; Refs. [10,11] analyzed random vibration of rotating beams and laminated composite coated beams, respectively. Abu-Hilal [12] considered four boundary conditions and gave the closed-form solution for the variance and the coefficient of variation of the beam deflection.…”

Section: Introductionmentioning

confidence: 99%

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Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads

Lü

Kennedy

Williams

et al. 2009

Shock and Vibration

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Abstract. An efficient and accurate FEM based method is proposed for studying non-stationary random vibration of structures subjected to moving loads. The loads are assumed to be a stationary process with constant mean value. The non-stationary power spectral densities (PSD) and the time dependent standard deviations of dynamic response are derived by using the pseudo excitation method (PEM) to transform this random excitation problem into a deterministic harmonic excitation one. The precise integration method (PIM) is extended to solve the equation of motion of beams under moving harmonic loads by enhancing the very recent consistent decomposition procedure, in order to simulate the movement of the loads. Six numerical examples are given to show the very high efficiency and accuracy of the method and also to deduce some useful preliminary conclusions from investigation of the dynamic statistical characteristics of a simply supported beam and of a symmetrical three span beam with its centre span unequal to the outer ones.

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“…In their paper, the method of multiple scales was employed to obtain the equations with which evaluate the steady responses and their stability. Zibdeh and Abu-Hilal (2003) studied the dynamics of composite beams subjected to random moving loads. Chen and Chen (2001) evaluated the effect of flexure-torsion coupling in the dynamics of rotating composite beams subjected to nonstationary random excitation.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of rotating non-linear thin-walled composite beams: analysis of modeling uncertainties

Piován

Sampaio

Ramirez

2012

J. Braz. Soc. Mech. Sci. & Eng.

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In this article a non-linear model for dynamic analysis of rotating thin-walled composite beams is introduced. The theory is deduced in the context of classic variational principles and the finite element method is employed to discretize and furnish a numerical approximation to the motion equations. The model considers shear flexibility as well as non-linear inertial terms, Coriolis' effects, among others. The clamping stiffness of the beam to the rotating hub is modeled through a set of spring factors. The model serves as a mean deterministic basis to the studies of stochastic dynamics, which are the objective of the present article. Uncertainties should be considered in order to improve the predictability of a given modeling scheme. In a rotating structural system, uncertainties are present due to a number of facts, namely, loads, material properties, etc. In this study the uncertainties are incorporated in the beam-to-hub connection (i.e. the connection angle and the springs) and the rotating velocity. The probability density functions of the uncertain parameters are derived employing the Maximum Entropy Principle. Different numerical studies are conducted to show the main characteristics of the uncertainty propagation in the dynamics of rotating composite beams.

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Stochastic vibration of laminated composite coated beam traversed by a random moving load

Cited by 40 publications

References 13 publications

Vibration Analysis Of Beam Subjected To Moving Loads Using Finite Element Method

Vibration Analysis Of Beam Subjected To Moving Loads Using Finite Element Method

Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads

Dynamics of rotating non-linear thin-walled composite beams: analysis of modeling uncertainties

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