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

Omolofe, B.; Oni, Sunday Tunbosun

doi:10.1590/1679-78251429

Cited by 3 publications

(3 citation statements)

References 28 publications

(24 reference statements)

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“…The results also indicate that the amplitude of vibrations of the plate under moving mass is greater than that of the moving force for same values of shear modulus and rotary inertia. Results obtained in this study is consistent with results obtained by [6,[14][15][16].…”

Section: Discussionsupporting

confidence: 92%

Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load

Niyi¹,

Aiyesimi²,

Jiya³

et al. 2019

Open J. Math. Sci.

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The effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by varying moving load resting on Vlasov foundation is investigated in this work. The problem is solved for concentrated loads with simply supported boundary conditions. An analytic solution based on the Galerkin's method is used to reduce the fourth order partial differential equation into a system of coupled fourth order differential equation and a modification of the Struble's technique and Laplace transforms are used to solve the resulting fourth order differential equation. Results obtained indicate that shear deformation and rotary inertia have significant effect on the dynamics of the anisotropic plate on the Vlasov foundation. Solutions are obtained for both the moving force and the moving mass problems. From the graphical results obtained, the amplitude of vibrations of the plate under moving mass is greater than that of the moving force and increasing the value of rotary inertia R 0 reduces the amplitude of vibration of the plate. increasing the mass ratio increases the amplitude of vibration of the plate.

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Section: Discussionsupporting

confidence: 92%

Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load

Niyi¹,

Aiyesimi²,

Jiya³

et al. 2019

Open J. Math. Sci.

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“…The two expansions called inner and outer expansion, neither of which is uniformly valid but whose domain of validity together cover the interval Ω. The method of matched asymptotic expansions (MMAE) developed by Bretheton [11] required that the asymptotic solution of equation ( 16) be of the form…”

Section: Solution Proceduresmentioning

confidence: 99%

Dynamic Behaviour of Highly Prestressed Orthotropic Rectangular Plate Under a Concentrated Moving Mass

Tolorunshagba

Oni²

2022

JPS

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In this paper the dynamic response to concentrated moving masses of highly prestressed orthotropic rectangular plate-structure is examined. When the ratio of the bending rigidity to the in-plane loading is small, a small parameter multiplies the highest derivatives in the equation governing the motion of the plate under the action of moving masses. Such vibrational problems defile conventional methods of solution. An approach suitable for the solution of this type of problem is the singular perturbation. To this end, a choice is made of the method of matched asymptotic expansions (MMAE) among others. The application of the singular perturbation scheme in conjunction with the finite Fourier sine transform produces two different but complementary approximations to the solution for small parameter - one being valid in the region where the other fails. One is valid away from the boundary called the outer solution while the other is valid near and at the boundary called the inner solution. Thereof, the Van Dyke asymptotic matching principle which produces the unknown integration constants in the outer and inner expansions is applied. Thereafter, the inverse Laplace transformation of the obtained results is carried out using the Cauchy residue theorem. This process produces the leading order solution, and the first order correction, to the uniformly valid solution of the plate dynamical problem. The addition of the two results above produces the sought uniformly valid solution in the entire domain of definition of the plate problem. Similarly, the resonant states and the corresponding critical speeds are obtained. The analysis of this result is then shown in plotted curves. Graphical interpretation of the results show that the critical speeds at the respective resonant states increase as the value of prestress increase thus the risk of resonance is remote as prestress is increased for any choice of value of rotatory inertia correction factor. Also, lower values of rotatory inertia show variation in the value of critical speed hence the possibility of resonance. Similarly, the critical speed increases with shear modulus for various values of prestress. However, as the value of shear modulus increases, critical speed approaches more or less constant value. Thus, a design incorporating high value of shear modulus is more stable and reliable. The critical speed increases with material orthotropy for lower values of rotatory inertia correction factor.

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“…The effects of moving loads on the dynamics of the structures have been widely studied in literature, for example, (Dehestani et al, 2009;Lee, 1996;Michaltsos, 2002;Niaz and Nikkhoo, 2015;Omolofe and Oni, 2015;Wang, 2009) have investigated the subject. For the application to the bridge engineering (Michaltsos et al, 1996) have studied the effect of accelerating vehicles on the bridge beams, considering highway bridges and high speed rail road construction.…”

Section: Introductionmentioning

confidence: 99%

Tip Deflection Determination of a Barrel for the Effect of an Accelerating Projectile Before Firing Using Finite Element and Artificial Neural Network Combined Algorithm

Koç

Esen

Çay

2016

Lat. Am. j. solids struct.

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For realistic applications, design and control engineers have limited modelling options in dealing with some vibration problems that hold many nonlinearity such as non-uniform geometry, variable velocity loadings, indefinite damping cases, etc. For these reasons numerous time consuming experimental studies at high costs must be done for determining the actual behaviour such nonlinear systems. However, using advantages of multiple computational methods like Finite Element Method (FEM) together with an Artificial Intelligence (ANN), many complicated engineering problems can be handled and solved to some extent. This study, proposes a new collective method to deal with the nonlinear vibrations of the barrels in order to fulfil accurate shooting expectancy. Using known analytical methods, in practical, to determine dynamic behaviour of the barrel beam is not possible for all conditions of firing that include numerous varieties of ammunition for different purposes, and each projectile of different ammunition has different mass and exit velocity. In order to cover all cases this study proposes a new method that combines a precise FEM with ANN, and can be used for determining the exact dynamic behaviour of a barrel for some cases and then for precisely predicting the behaviour for all other possible cases of firing. In this study, the whole nonlinear behaviour of an antiaircraft barrel were obtained with 3.5% accuracy errors by ANN trained by FEM using calculated analysis results of ammunitions for a particular range. The proposed FEM-ANN combined method can be very useful for design and control engineers in design and control of barrels in order to compensate the effect of nonlinear vibrations of a barrel for achieving a higher shooting accuracy; and can reduce high-cost experimental works.

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

Cited by 3 publications

References 28 publications

Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load

Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load

Dynamic Behaviour of Highly Prestressed Orthotropic Rectangular Plate Under a Concentrated Moving Mass

Tip Deflection Determination of a Barrel for the Effect of an Accelerating Projectile Before Firing Using Finite Element and Artificial Neural Network Combined Algorithm

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