Dynamic response to moving concentrated masses of uniform Rayleigh beams resting on variable winkler elastic foundation

Oni, ST

doi:10.4314/jonamp.v9i1.40041

Cited by 5 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Though works in [4,6,10] are useful, the loads acting on the beams are not moving loads. In a recent development, Oni and Awodola [15] extended the works of these previous authors to investigate the dynamic response to moving concentrated masses of uniform Rayleigh beams resting on variable Winkler elastic foundation. Their work shows that for all variants of classical boundary conditions, the displacements of a uniform Rayleigh beam resting on variable elastic foundation and traversed by moving masses decrease both with increase in the foundation moduli and the rotatory inertial correction factor.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation

Oni

Awodola

2011

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

The response of simply supported rectangular plates carrying moving masses and resting on variable Winkler elastic foundations is investigated in this work. The governing equation of the problem is a fourth order partial differential equation. In order to solve this problem, a technique based on separation of variables is used to reduce the governing fourth order partial differential equations with variable and singular coefficients to a sequence of second order ordinary differential equations. For the solutions of these equations, a modification of the Struble's technique and method of integral transformations are employed. Numerical results in plotted curves are then presented. The results show that response amplitudes of the plate decrease as the value of the rotatory inertia correction factor R0 increases. Furthermore, for fixed value of R0, the displacements of the simply supported rectangular plates resting on variable elastic foundations decrease as the foundation modulus F0 increases. The results further show that, for fixed R0 and F0, the transverse deflections of the rectangular plates under the actions of moving masses are higher than those when only the force effects of the moving load are considered. Therefore, the moving force solution is not a safe approximation to the moving mass problem. Hence, safety is not guaranteed for a design based on the moving force solution. Also, the analyses show that the response amplitudes of both moving force and moving mass problems decrease both with increasing Foundation modulus and with increasing rotatory inertia correction factor. The results again show that the critical speed for the moving mass problem is reached prior to that of the moving force for the simply supported rectangular plates on variable Winkler elastic foundation.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation

Oni

Awodola

2011

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…He included the effects of viscous damping in the governing differential equation. In a more recent development other researchers that considered the dynamic response of elastic structures under moving load include Oni and Omolofe [4], Oni and Awodola [5], Omolofeetal [6], Misra [7], Hsu [8], Liu and Chang [9], Achawakom and Jearisripong Kul [10]. In the above mentioned researched works, only structural members lie on the Winkler foundation model with foundation stiffness K are considered.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response of Non-Uniform Rayleigh Beam Subjected to Harmonically Varying Moving Load

Jimoh¹,

Ajoge²

2018

JAMC

View full text Add to dashboard Cite

This paper investigates the effect of axial force and rotatory inertial on the dynamic motion of non-uniform Rayleigh beam resting on Pasternak foundation transverseby harmonically varying magnitude moving loads. The versatile Galerkin'smethod and the integral transform techniques were employed to treat the fourth order partial differential equation governing the motion of the vibrating system. Analytical solution was obtained for the transverse displacement response of the non-uniform Rayleigh beam. Analytical and numerical results show that as the values of axial force (N) and rotatory inertial () increases the deflection profile of the non-uniform Rayleigh beam decreases. It is also found that as the values of the other structural parameter such as shear module (G), foundation modulus (K) and damping coefficient () increases lead to decreases in the deflection profile of the beam. Finally, it is observed that the effect of rotatory inertia is significant compared to that of the axial force.

show abstract

“…In most of the studies available in literature, see for example [17][18][19][20][21][22][23][24][25][26][27][28][29][30], 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 the beams with uniform cross section. Studies on the behaviour of non-prismatic elastic beam under the passage of moving load are not so common in literature.…”

Section: Introductionmentioning

confidence: 99%

Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Omolofe

Adedowole

2017

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

Abstract. In this paper, dynamic response of non-prismatic elastic beam resting on elastic foundation and subjected to moving distributed masses is investigated. To obtain the solution of the fourth order partial differential equations with singular and variable coefficients governing the motion of the structural member, an elegant mathematical procedure involving the Mindlin and Goodman's technique, the generalized Galerkin method and the asymptotic Struble's technique with the series representation of the Heaviside function. Various results obtained from the analysis of the closed form solutions are presented in plotted curves and fully discussed.

show abstract

Dynamic response to moving concentrated masses of uniform Rayleigh beams resting on variable winkler elastic foundation

Cited by 5 publications

References 0 publications

Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation

Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation

Dynamic Response of Non-Uniform Rayleigh Beam Subjected to Harmonically Varying Moving Load

Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Contact Info

Product

Resources

About