Dynamic response to moving concentrated masses of elastic plates on a non-Winkler elastic foundation

Gbadeyan, J.A.; Oni, Sunday Tunbosun

doi:10.1016/0022-460x(92)90585-l

Cited by 38 publications

(20 citation statements)

References 7 publications

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“…When these are available, the inertia effects of the heavy mass are neglected. It is well known that in a dynamical system as this, analytical method is desirable as solutions so obtained often shed light on vital information about the vibrating system [Fryba, L., (1972), Omolofe (2013), Stanisic et al (1974), Stanisic (1968), Hossein et al (2013), Atteshamuddin (2013), Gbadeyan and Oni (1992)]. …”

Section: Introductionmentioning

confidence: 99%

“…The solutions so obtained were shown to converge very rapidly. The work of Stanisic et al was taken up much later by Gbadeyan and Oni [Gbadeyan and Oni (1992)] who investigated the dynamic analysis of an elastic plate continuously supported by an elastic Pasternak foundation and traversed by an arbitrary number of concentrated masses. All the components of the inertial terms were considered and the rectangular plate was taken to be simply supported.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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Section: Introductionmentioning

confidence: 99%

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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“…It is known from earlier studies that, the problem of assessing transverse vibrations of elastic solid structures subjected to moving loads has been commonly considered for a point-like type of moving load, see for examples [Gbadeyan and Oni (1992), Sadiku and Leipholz (1989), Lee (1994), Oni and Omolofe (2005b), Oni and Awodola (2005)]. While studies concerning a dynamical system involving moving distributed loads are not so common.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike in the case of the moving force, an exact analytical solution to this equation is not possible. Thus, one resorts to an approximate analytical technique due to Struble discussed in [Gbadeyan and Oni (1992), Oni and Omolofe (2005b)]. By this technique, we seek the modified frequency corresponding to the frequency of the free system due to the presence of the effect of the mass of the load.…”

Section: The Moving Mass Beam-load Interaction Problemmentioning

confidence: 99%

Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

Omolofe

Adeloye

2017

Lat. Am. j. solids struct.

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The classical problem of the response characteristics of uniform structural member resting on elastic subgrade and subjected to uniform partially distributed load is studied in this work. The closed form solutions of the governing fourth order partial differential equations with variable coefficients are presented using an elegant analytical technique for the moving force and mass models. Various results and analyses are carried out on each of the pertinent boundary conditions and phenomenon of resonance is studied for the dynamical system. It was found that in all illustrative examples considered, for the same natural frequency, the critical speed for moving distributed mass problem is smaller than that of the moving distributed force problem. Hence, resonance is reached earlier in moving mass beam-load interaction problem. Finally, this work has suggested valuable methods of analytical solution for this category of problems for all boundary conditions of practical interest.

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“…Studies concerning vibrating bodies resting on an elastic foundation carrying moving loads are of considerable practical importance and have been a subject of numerous scientific investigations by different authors in past few years [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. In most of the studies available in literature, such as the work of Sadiku and Leipolz [21], Oni and Awodola [22], the scope of the problem of assessing the dynamic response of a structural member under the passage of moving load has been limited to that of thin beam or thick beam.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristics of a Rotating Timoshenko Beam Subjected to a Variable Magnitude Load Travelling at Varying Speed

Omolofe¹,

Ogunyebi²

2016

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. In this study, the dynamic behaviour of a rotating Timoshenko beam when under the actions of a variable magnitude load moving at non-uniform speed is carried out. The effect of cross-sectional dimension and damping on the flexural motions of the elastic beam was neglected. The coupled second order partial differential equations incorporating the effects of rotary and gyroscopic moment describing the motions of the beam was scrutinized in order to obtain the expression for the dynamic deflection and rotation of the vibrating system using an elegant technique called Galerkin's Method. Analyses of the solutions obtained were carried out and various results were displayed in plotted curve. It was found that the response amplitude of the simply supported beam increases with an increase in the value of the foundation reaction modulus. Effects of other vital structural parameters were also established.

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Dynamic response to moving concentrated masses of elastic plates on a non-Winkler elastic foundation

Cited by 38 publications

References 7 publications

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

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

Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

Dynamic Characteristics of a Rotating Timoshenko Beam Subjected to a Variable Magnitude Load Travelling at Varying Speed

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