Space–time finite element approach to general description of a moving inertial load

Dyniewicz, Bartłomiej

doi:10.1016/j.finel.2012.07.002

Cited by 22 publications

(7 citation statements)

References 30 publications

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“…The explicit matrix form of K n is provided in the Appendix. The general matrices representing the moving mass were derived by using linear shape functions as described in [19],…”

Section: Numerical Modelmentioning

confidence: 99%

The Gao beam under a moving inertial load and harmonic compression

Dyniewicz

Bajer

2019

MATEC Web Conf.

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In the present work the dynamics of the system of a mass moving on the beam is investigated in detail numerically in the case of vibrations about a buckled state. The differential equation that describes the motion is strongly nonlinear. Simulations are based on the space-time finite element method. It enabled us easily determine the influence of the moving inertial particle. At the computational stage it becomes a real problem when the mass particle traverses joints of neighbouring elements. The results of representative and interesting computer simulations are enclosed.

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“…The explicit matrix form of K n is provided in the Appendix. The general matrices representing the moving mass were derived by using linear shape functions as described in [19],…”

Section: Numerical Modelmentioning

confidence: 99%

The Gao beam under a moving inertial load and harmonic compression

Dyniewicz

Bajer

2019

MATEC Web Conf.

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“…The explicit matrix form of boldK n is provided in Appendix 1. The matrices representing the moving mass particle were derived by using linear shape functions as described in [19]:…”

Section: Numerical Algorithmmentioning

confidence: 99%

A Gao beam subjected to a moving inertial point load

Bajer¹,

Dyniewicz

Shillor

2017

Mathematics and Mechanics of Solids

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A model for the dynamics of a Gao elastic or viscoelastic nonlinear beam that is subject to a horizontally moving vertical point-force is modeled and computationally studied. In particular, the behavior and vibrations of the beam as the mass is moving on it is investigated. Such problems arise naturally in transportation systems with rails. A time-marching finite element numerical algorithm for the problem is developed and implemented. Results of representative simulations are depicted and compared to the behavior of a linear Euler beam with a moving mass.

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“…Shafiei and Khaji [16] have developed an analytical solution method to examine the free and forced vibration of a cracked Timoshenko beam with multiple cracks under the excitation of an intense traversing load. Dyniewicz [17] has explained the response of structure subjected to a traversing inertial load using the space-time finite element method. Zarfam and Khaloo [18] have studied the vibration control of structures on the elastic foundation under traversing mass and random lateral excitations using modal analysis method.…”

Section: Introductionmentioning

confidence: 99%

Response analysis of cracked structure subjected to transit mass – a parametric study

Jena¹,

Parhi²

2017

J. vibroeng.

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This work is focused on determining the response of a multi-cracked structure in the presence of different types of cracks vibrated due to a transit mass. The open transverse and inclined edge cracks of random crack depth are present at various locations of the cracked structure. The mass is moving on the beam at the different critical speeds of the structure. Runge-Kutta fourth order method is employed to evaluate the response of the structure numerically. The significance of different factors like the magnitude of the moving mass, moving speed, crack depth, crack inclination angle and their effects on the response of the deteriorated structure are investigated. Numerical analyses with numerous examples are carried out and validated the results with finite element analysis (FEA) and experimental investigations.

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Space–time finite element approach to general description of a moving inertial load

Cited by 22 publications

References 30 publications

The Gao beam under a moving inertial load and harmonic compression

The Gao beam under a moving inertial load and harmonic compression

A Gao beam subjected to a moving inertial point load

Response analysis of cracked structure subjected to transit mass – a parametric study

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