Deflection profile analysis of beams on two-parameter elastic subgrade

Abstract

A procedure involving spectral Galerkin and integral transformation methods has been developed and applied to treat the problem of the dynamic deflections of beam structure resting on biparametric elastic subgrade and subjected to travelling loads. The case of the response to moving constant loads of this slender member is first investigated and a closed form solution in series form describing the motion of the beam while under the actions of the travelling load is obtained. The response under a variable magnitude moving load with constant velocity is finally treated and the effects of prestressed, foundation stiffness, shear modulus and damping coefficients are investigated. Results in plotted curves indicate that these structural parameters produce significant effects on the dynamic stability of the load-beam system. Conditions under which the beam-load system may experience resonance phenomenon are also established some of these findings are quite useful in practical applications.

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

“…It has also become the objective of various investigations in the field of applied Mathematics and Physics. In general, problems of this type are mathematically complex when the inertial effect of the moving load is taken into consideration [Fryba, L., (1972), Milormir et al (1969), Sadiku et al, (1981), Gbadeyan and Oni (1995) Kargarmovin and Younesian (2004), Shahin and Mbakisya (2010), Awodola and Oni (2013), Awodola and Oni (2011), Omolofe (2013)]. …”

“…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)]. …”

Static interaction analysis between beam and layered soil using a two-parameter elastic foundation

“…Due to the complexity of the interaction problems, analytical solutions are rarely used and desired alternatives would be a numerical approach (Dinev 2012;Hassan and Doha 2015;Ai and Cai 2016). The FEM is still popular method in this domain (Bourgeois et al 2012;Su and Li 2013) but it has disadvantages compared to BEM and spectral element method (SEM) (Omolofe 2013;Mokhatari et al 2016) using absorbent frontier modeling. The FEM requires the discretization of the domain to high number of finite elements but the problem can be solved with BEM where only the boundary of the domains involved can be discretized (Padron et al 2011;Ai and Cheng 2013;Ribeiro and Paiva 2014).…”

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

“…These elastic structures are very useful in many fields of research, thus their dynamic behaviours when under the action of travelling loads of different forms have received extensive attention in the open literature [ Oni and Omolofe (2005a), Hassan et al (2016), Omolofe (2013), Ismail (2015)]. When these important engineering structures are resting on an elastic foundation, the structure-foundation interaction effects play significant roles in their response behaviour and alter the dynamic states of B. Omolofe a T.O.…”