Vibrations of simple beam-like modelled bridge under harmonic moving loads

Garinei, Alberto

doi:10.1016/j.ijengsci.2006.04.013

Cited by 37 publications

(17 citation statements)

References 4 publications

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“…Due to the importance of this problem, many papers have appeared in the literature. Compared with the problem of beams subjected to moving loads (see [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68]), the number of studies related to the vibration of plates due to moving loads is rather limited. Gbadeyan and Oni [69] developed a theory related to the response of Rayleigh beams and plates under an arbitrary number of moving masses.…”

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confidence: 99%

Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory

et al. 2015

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This study deals with forced vibration analysis of a microplate subjected to a moving load. The formulation is developed based on the modified couple stress theory in conjunction with Kirchhoff-Love plate theory. The equations of motion of the problem are derived using Lagrange's equations. In order to obtain the response of the microplate, the trial function for the dynamic deflection is expressed in the polynomial form. The equations of motion are solved by using the implicit time integration Newmark-β method, and then displacements, velocities and accelerations of the microplate at the considered point and time are determined. Five different sets of boundary condition are considered. For this purpose, boundary conditions are satisfied by adding some auxiliary functions to the trial functions. A parametric study is conducted to study the effects of the material length scale parameter, plate aspect ratio, boundary conditions and the moving load velocity on the dynamic response of the microplate. Also, in order to validate the present formulation and solution method, some comparisons with those available in the literature are performed. Good agreement is found. The results show that the dynamic deflections are significantly affected by the scale parameter and the load velocity.

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confidence: 99%

Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory

et al. 2015

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“…(1) suggests that the speedup is linearly related to the number of the processors, in practice and for most of the parallel programs, it is approximately linear only for small number of processors. In fact, when the number of processors grows up, the speedup approaches a constant asymptote.…”

Section: Parallel Programs Speedup and Its Limitsmentioning

confidence: 99%

“…Thus, modal analysis is an important step in understanding the behavior of a structure. For instance, Garinei [1] studied the vibrations of a simple beam under the impact of harmonically moving loads. In addition, the analysis of vibrations of a bridge using modal analysis is another example of the studies done in this eld [2].…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis of Two-Dimensional Beams Using Parallel Finite Element Method

Heydari

Gharebaghi

2017

Scientia Iranica

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KEYWORDSAbstract. Modal analysis is the process of determining the natural frequencies and mode shapes of structures. In practical problems, modal analysis may be repeated many times, resulting in a huge quantity of computations. Although parallel processing technique can reduce the analysis time, civil engineers rarely implement it because it requires high programming skills as well as designing parallel algorithms. In the present paper, the Davidson algorithm is adopted for parallel modal analysis of two-dimensional beams. More precisely, the parallel version of the Davidson algorithm is implemented from scratch. A new proposed method, which is called \Modi ed Checkered Method" (MCM), is introduced, and four versions of the algorithm are implemented. Two out of four versions use rowwise and MCM in combination with Compressed Sparse row Algorithm, while the others utilize the previously mentioned methods without matrix compression. It is shown that the speedup increases when the main matrix of the standard form of eigenvalue problem is not compressed. Moreover, the speedup will increase in comparison to the row-wise division method when MCM is used. It is notable that the implemented Parallel Finite-Element source code is capable of being used in companion with a wide variety of nite elements.

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“…In that research, the time-dependent modal equations are solved in closed-form and, therefore, the method is highly accurate and robust, circumventing the main disadvantages of time-stepping schemes. Garinei [9] focused on the vibrations of simple beamlike modeled bridge under harmonic moving loads. Ouyang and Mottershead [10] presented a combined numerical-analytical method for vibration of a beam excited by a moving flexible body.…”

Section: Introductionmentioning

confidence: 99%

Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load

2010

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Vibration of a finite Euler-Bernoulli beam, supported by non-linear viscoelastic foundation traversed by a moving load, is studied and the Galerkin method is used to discretize the non-linear partial differential equation of motion. Subsequently, the solution is obtained for different harmonics using the Multiple Scales Method (MSM) as one of the perturbation techniques. Free vibration of a beam on non-linear foundation is investigated and the effects of damping and non-linear stiffness of the foundation on the responses are examined. Internal-external resonance condition is then stated and the frequency responses of different harmonics are obtained by MSM. Different conditions of the external resonance are studied and a parametric study is carried out for each case. The effects of damping and non-linear stiffness of the foundation as well as the magnitude of the moving load on the frequency responses are investigated. Finally, a thorough local stability analysis is performed on the system.

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Vibrations of simple beam-like modelled bridge under harmonic moving loads

Cited by 37 publications

References 4 publications

Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory

Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory

Modal Analysis of Two-Dimensional Beams Using Parallel Finite Element Method

Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load

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