Dynamic response of a Mindlin elastic rectangular plate under a distributed moving mass

Gbadeyan, J.A.; Dada, M.S.

doi:10.1016/j.ijmecsci.2005.09.005

Cited by 43 publications

(31 citation statements)

References 16 publications

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“…it is necessary to understand dynamic behavior of the structural elements subjected to moving loads. Thus, forced vibration of beams and plates under the action of moving loads has been an interesting topic among researchers [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. Recently, Vosoughi et al [60] have investigated the dynamic response of moderately thick antisymmetric cross-ply laminated rectangular plates.…”

Section: Introductionmentioning

confidence: 99%

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Şi̇mşek

2015

Composite Structures

224

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Section: Introductionmentioning

confidence: 99%

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Şi̇mşek

2015

Composite Structures

224

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“…This has necessitated the quest for accurate evaluation of the vehicle-track interaction during the passage of the heavy subsystems. Nevertheless, it appears that most of the studies [Ismail (2011), Gbadeyan and Dada (2006), Wu et al (1987), Hsu (2009), Akin and Mofid (1989), Ali et al (2013), Shahed and Mohammad (2012), Sang-Jin (2013)] in this field focus on numerical simulations. Emphatically speaking, few studies concentrate on analytical developments.…”

Section: Introductionmentioning

confidence: 99%

Transverse Motions of Rectangular Plates Resting on Elastic Foundation and Under Concentrated Masses Moving at Varying Velocities

Omolofe

Oni

2015

Lat. Am. j. solids struct.

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This study concerns the dynamic characteristics of a prestressed isotropic, rectangular plate continuously supported by an elastic foundation and carrying accelerating mass M. Closed form solutions of the governing fourth order partial differential equations with variable and singular coefficients are presented. For the twodimensional plate problem, the solution techniques is based on the double Fourier Finite Sine integral transformation, the expansion of the Dirac Delta function in series form, a modification of Struble's asymptotic method and the use of Fresnel sine and Fresnel cosine integrals. Numerical analyses in plotted curves are presented. The analyses reveal interesting results on the effect of structural parameters such as foundation moduli, rotatory inertia correction factor and prestressing forces on the dynamic behaviour of isotropic rectangular plate under the actions of concentrated masses moving at variable velocity. In particular it is found that the critical velocity of the travelling load which brings about the occurrence of a resonance state increases as the values of these structural parameters increase.

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“…Au and Wang [75] worked on the vibrations of rectangular orthotropic thin plates with general boundary conditions traversed by moving loads. Gbadeyan and Dada [76] analyzed the influence of uniform partially distributed moving loads for Mindlin elastic plates. Wu [77] investigated the dynamic behavior of the inclined plates subjected to moving loads by using the theory for a moving mass element.…”

mentioning

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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Dynamic response of a Mindlin elastic rectangular plate under a distributed moving mass

Cited by 43 publications

References 16 publications

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Transverse Motions of Rectangular Plates Resting on Elastic Foundation and Under Concentrated Masses Moving at Varying Velocities

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

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