scholarly journals Effect of soil properties on the dynamic response of simply-supported bridges under railway traffic through coupled boundary element-finite element analyses

2018 ◽  
Vol 170 ◽  
pp. 78-90 ◽  
Author(s):  
M.D. Martínez-Rodrigo ◽  
P. Galvín ◽  
A. Doménech ◽  
A. Romero
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Soil Properties ◽  
Boundary Element ◽  
Finite Element Analyses ◽  
Simply Supported ◽  
Railway Traffic

scholarly journals Inelastic Analysis of Transverse Deflection of Plates by the Boundary Element Method

1980 ◽  
Vol 47 (2) ◽  
pp. 291-296 ◽  
Author(s):  
M. Morjaria ◽  
S. Mukherjee
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Model Material ◽  
Material Behavior ◽  
State Variables ◽  
Simply Supported ◽  
Inelastic Analysis ◽  
Transverse Deflection ◽  
Element Method

A numerical scheme for time-dependent inelastic analysis of transverse deflection of plates of arbitrary shape by the boundary element method is presented in this paper. The governing differential equation is the inhomogeneous biharmonic equation for the rate of small transverse deflection. This complicated boundary-value problem for an arbitrarily shaped plate is solved by using a novel combination of the boundary element method and finite-element methodology. The number of unknowns, however, depends upon the boundary discretization and is therefore less than in a finite-element model. A combined creep-plasticity constitutive theory with state variables is used to model material behavior. The computer code developed can solve problems for an arbitrarily shaped plate with clamped or simply supported boundary conditions and an arbitrary loading history. Some illustrative numerical results for clamped and simply supported rectangular and triangular plates, under various loading histories, are presented and discussed.

Transverse Impact of a Damped Plate near a Straight Edge

1995 ◽  
Vol 117 (1) ◽  
pp. 103-108 ◽  
Author(s):  
A. N. Danial ◽  
J. F. Doyle
Keyword(s):  
Finite Element ◽  
Free Edge ◽  
Flexural Wave ◽  
Viscous Damping ◽  
Finite Element Analyses ◽  
Edge Waves ◽  
Transverse Impact ◽  
Reflected Waves ◽  
Simply Supported ◽  
Flexural Wave Propagation

The effects of boundaries on flexural wave propagation in plates with viscous damping are studied through spectral and finite element analyses of incident and reflected waves. The incident wave is generated by point impact and therefore has the complication of being circularly crested. Results show excellent agreement between finite element and spectral solutions for waves—with high and low damping—reflected from simply supported, clamped and free edges. In addition, the possibility of Rayleigh-type free edge waves are investigated.

An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Xiang Dai ◽  
Christopher G. Cooley ◽  
Robert G. Parker
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Nonlinear Vibration ◽  
Spur Gear ◽  
Computational Method ◽  
Tooth Surface ◽  
Dynamic Force ◽  
Finite Element Analyses ◽  
Gear Teeth ◽  
Lumped Parameter

This work develops a hybrid analytical-computational (HAC) method for nonlinear dynamic response in spur gear pairs. The formulation adopts a contact model developed in (Eritenel, T., and Parker, R. G., 2013, “Nonlinear Vibration of Gears With Tooth Surface Modifications,” ASME J. Vib. Acoust., 135(5), p. 051005) where the dynamic force at the mating gear teeth is determined from precalculated static results based on the instantaneous mesh deflection and position in the mesh cycle. The HAC method merges this calculation of the contact force based on an underlying finite element static analysis into a numerical integration of an analytical vibration model. The gear translational and rotational vibrations are calculated from a lumped-parameter analytical model where the crucial dynamic mesh force is calculated using a force-deflection function (FDF) that is generated from a series of static finite element analyses performed before the dynamic calculations. Incomplete tooth contact and partial contact loss are captured by the static finite element analyses and included in the FDF, as are tooth modifications. In contrast to typical lumped-parameter models elastic deformations of the gear teeth, including the tooth root strains and contact stresses, are calculated. Accelerating gears and transient situations can be analyzed. Comparisons with finite element calculations and available experiments validate the HAC model in predicting the dynamic response of spur gear pairs, including for resonant gear speeds when high amplitude vibrations are excited and contact loss occurs. The HAC model is five orders of magnitude faster than the underlying finite element code with almost no loss of accuracy.

Finite Element Analysis on Dynamic Response of Bridge Structures under Moving Loads with Uniform Speed

2011 ◽  
Vol 90-93 ◽  
pp. 1015-1018
Author(s):  
Wen Zhang ◽  
De Can Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dynamic Response ◽  
Moving Load ◽  
Moving Loads ◽  
Element Analysis ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
The Finite Element Analysis ◽  
Bridge Structures

The dynamic response of simple supported beam under the moving load is analyzed. The finite element analysis software MIDAS is used to simulate the process of when the uniform constant force moving through the simply supported beam. The first 5 natural frequencies of simply supported beam are obtained with the modal analysis and compared with the analytical solution. The feasibility of the finite element method is verified.

Numerical simulation and parameterisation of rail–wheel normal contact

2016 ◽  
Vol 231 (4) ◽  
pp. 419-430 ◽  
Author(s):  
Jacobus L Cuperus ◽  
Gerhard Venter
Keyword(s):  
Finite Element ◽  
Boundary Element ◽  
Maximum Error ◽  
Hertzian Contact ◽  
Test Case ◽  
Empirical Equations ◽  
Finite Element Analyses ◽  
Contact Parameter ◽  
Normal Contact ◽  
Power Law Equation

This investigation aims to find empirical equations that describe the rail–wheel normal (frictionless) contact characteristics. These equations can then be used to determine an equivalent Hertzian load to account for normal contact in the finite element analyses mandated by the Transnet RS/ME/SP/008 specification, without explicitly simulating the contact between two bodies. The standard is similar to UIC 510-5 and does not consider tangential contact. The normal contact problem is solved for the test case using nonlinear finite element methods as well as the boundary element method. Material plasticity was also investigated in finite element analyses with limited effect for contact away from the flange area. The data from boundary element analyses were fitted to a power law equation for each contact parameter. The equivalent Hertzian contact produced with the empirical equations is able to predict the normal contact parameters relatively accurately, producing a maximum error of 9.6% (excluding one area with a geometric anomaly).

Analysis of three-layer beams with non-identical layers and semi-rigid connections

1998 ◽  
Vol 25 (2) ◽  
pp. 271-276 ◽  
Author(s):  
Ying H Chui ◽  
David W Barclay
Keyword(s):  
Finite Element ◽  
Explicit Solution ◽  
Point Load ◽  
Finite Element Analyses ◽  
Bending Deformation ◽  
Simply Supported ◽  
Distributed Load ◽  
Rigid Connection ◽  
Layered Beam ◽  
Interlayer Slip

An explicit solution is presented for three-layer beams with non-identical and semi-rigidly connected layers. Exact designer-usable equations for calculating mid-span deflection due to bending deformation and interlayer slip of a simply supported layered beam subjected to a uniformly distributed load and a point load applied at mid-span are also given. Calculated results agree well with the results from finite element analyses and from tests.Key words: layered beam, semi-rigid connection, explicit solution.

EVALUATION OF SIMPLIFIED METHODS OF ESTIMATING BEAM RESPONSES TO IMPACT

2012 ◽  
Vol 12 (03) ◽  
pp. 1250016 ◽  
Author(s):  
Y. YANG ◽  
N. T. K. LAM ◽  
L. ZHANG
Keyword(s):  
Finite Element ◽  
Computer Analysis ◽  
Analytical Study ◽  
Impact Resistance ◽  
Solid Object ◽  
Finite Element Analyses ◽  
Impact Action ◽  
Simply Supported ◽  
Static Resistance ◽  
The Impact

Fundamental principles controlling the deflection behavior of a simply supported beam responding to the impact action of a solid object is revealed in this paper. The significant mitigating effects that the mass of the beam have upon its impact resistant behavior have been illustrated with examples. It is a myth that the static resistance of the beam is indicative of its impact resistance. The important effects of "cushioning" and the higher modes phenomenon have also been identified by the analytical study presented herein. Hand calculations and computer analysis methods are introduced and evaluated by comparison with results obtained from finite element analyses using LS-DYNA.

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