Studying the Impact Force of Steel Wheel on the Elastic Half-Space by Dynamic Response Analysis


Authors : Ahmad Alhumiadah; Khaled Mohammed Ahmed Alkandari

Volume/Issue : Volume 7 - 2022, Issue 12 - December

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/y5nraxrx

DOI : https://doi.org/10.5281/zenodo.8129356

Abstract : For the purpose of realising the impact force on an elastic half-space wheel made of steel, a dynamic response analysis is established in terms of finite element analysis. Moreover, the finite element analysis is used for quantifying the maximum impact force in addition to detecting the value of the elastic modulus of the wheel. The research objective is to analyse the maximum acceleration of the wheel throughout the impact force process. However, the main affecting factors are the elastic modulus symbolled by (E), impact height symbolled by (h), as well as ratio of the Poisson symbolled by (σ) for the half-space, based on Palmgren empirical equation. In terms of the finite element method the impact force process is simulated at several Poisson's ratios and elastic modulus on the same wheel at several impact heights. Later, a diagram termed MAP, and the fitting equations of the correlation between the affecting factors and maximum acceleration are acquired. The simulation outcomes demonstrate that once the steel wheel influences an elastic half-space, a nonlinear quadratic relationship is obtained between the impact height, elastic modulus, and maximum acceleration of the wheel and elastic half-space. However, the half-space Poisson's ratio shows a slight impact reflected into the maximum wheel acceleration. Nevertheless, the error that is occurred between the interpolation, theoretic, as well simulation values was around 25%, which satisfies the engineering conditions. As a result, it is able to be applied in the dynamic process calculation for the impact force process that the wheel enforces on an elastic half- space. Moreover, the maximum acceleration of the wheel is linked to the major affecting factors throughout the influence force process. The elastic modulus and impact force of the elastic half-space additionally be predicted corresponding to the obtained fitting relationship.

Keywords : Steel wheel; Palmgren, elastic half-space; Poisson’s ratio; impact height; elastic modulus; and maximum acceleration..

For the purpose of realising the impact force on an elastic half-space wheel made of steel, a dynamic response analysis is established in terms of finite element analysis. Moreover, the finite element analysis is used for quantifying the maximum impact force in addition to detecting the value of the elastic modulus of the wheel. The research objective is to analyse the maximum acceleration of the wheel throughout the impact force process. However, the main affecting factors are the elastic modulus symbolled by (E), impact height symbolled by (h), as well as ratio of the Poisson symbolled by (σ) for the half-space, based on Palmgren empirical equation. In terms of the finite element method the impact force process is simulated at several Poisson's ratios and elastic modulus on the same wheel at several impact heights. Later, a diagram termed MAP, and the fitting equations of the correlation between the affecting factors and maximum acceleration are acquired. The simulation outcomes demonstrate that once the steel wheel influences an elastic half-space, a nonlinear quadratic relationship is obtained between the impact height, elastic modulus, and maximum acceleration of the wheel and elastic half-space. However, the half-space Poisson's ratio shows a slight impact reflected into the maximum wheel acceleration. Nevertheless, the error that is occurred between the interpolation, theoretic, as well simulation values was around 25%, which satisfies the engineering conditions. As a result, it is able to be applied in the dynamic process calculation for the impact force process that the wheel enforces on an elastic half- space. Moreover, the maximum acceleration of the wheel is linked to the major affecting factors throughout the influence force process. The elastic modulus and impact force of the elastic half-space additionally be predicted corresponding to the obtained fitting relationship.

Keywords : Steel wheel; Palmgren, elastic half-space; Poisson’s ratio; impact height; elastic modulus; and maximum acceleration..

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