Modeling the interaction between contact mechanisms in normal and tangential directions

Bazrafshan, Mohammad Amin; Ahmadian, Hamid; Jalali, Hassan

doi:10.1016/j.ijnonlinmec.2013.09.002

Cited by 14 publications

(4 citation statements)

References 32 publications

(50 reference statements)

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“…As presented in references [28][29][30], the relationship between the fractal dimension D for two-dimensional and three-dimensional contacts is D three = D two + 1. This indicates that the values of fractal dimension D in the range of D = [1,2] for two-dimensional contact are equivalent to that in the range of D = [2,3] for three-dimensional contact. In addition, it is noted that the qualitative behavior of the exponent for the contact stiffness and contact force relationship does not depend on the dimensionality of the system and is identical in two-and three-dimensional cases [21].…”

Section: Relationship Between Contact Stiffnessmentioning

confidence: 86%

“…Some examples of such mechanical systems include bolted joints, rolling bearings, gear meshing and railway wheel-rail contact. Contact stiffness, which is an essential parameter for describing interface properties, exhibits significant effect on both the static and dynamic behavior of the machine system, such as contact pressure distribution, real contact area, vibration, fatigue as well as wear modeling [1][2][3][4][5]. Therefore, it has become necessary to effectively model and understand the contact stiffness of practical engineering interfaces to predict the performance and reliability of mechanical components more accurately.…”

Section: Introductionmentioning

confidence: 99%

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Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Xiao

Sun

Chen

2018

J Braz. Soc. Mech. Sci. Eng.

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In this work, a new formulation of elastic-plastic contact model for the normal contact between rough surfaces is proposed based on the fractal theory. The surface topography is described using the modified one-variable Weierstrass-Mandelbrot fractal function. A new elastoplastic asperity contact model is developed based on the contact mechanics combined with the continuity and smoothness of mean contact pressure and contact load across different deformation regimes from elastic to elastoplastic, and from elastoplastic to fully plastic. The contact stiffness of a single asperity in the three deformation regimes of fully plastic, elastoplastic and elastic is derived, which changes smoothly at transit points between different deformation modes and overcomes the shortcoming of discontinuity derived from previous model. The contact stiffness and contact load of the whole surface in the three deformation regimes are formulated by integrating the micro-asperity contact. The difference between contact stiffness calculated from the plastic-elastoplastic-elastic three contact regimes and plastic-elastic two contact regimes is not obvious for surface with rougher topograph; however, for surface with smoother topograph, the two contact regimes predict a much smaller contact stiffness. The relationship of the normal contact stiffness and the normal contact force follows a power law function for the fractal surface contact considering three deformation regimes. The power exponent is nonlinearly dependent on the fractal dimension, which is different from the linear relationship for the purely elastic contact.

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Section: Relationship Between Contact Stiffnessmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Xiao

Sun

Chen

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Additionally, the difference of impact response for different shapes or material properties is very obvious (Y. , especially for composite materials withstanding high impact load, i.e., contact force (Xie et al, 2016;Zhikharev and Sapozhnikov, 2017). Numerous studies reported in literature indicated that composite materials are widely used as structural materials in various fields, such as aerospace, military, as well as in nuclear power due to their characteristics of higher strength and stiffness, compared with general metallic materials (Appleby-Thomas et al, 2015;Boroujerdy and Kiani, 2016;Li et al, 2016). However, in engineering practice, heavy loads and/or impact loads with uncertainty are easily to induce varying levels of internal damage, which can also result in significant degradation of the structural strength.…”

Section: Introductionmentioning

confidence: 99%

Analytical Study of Babbitt/steel Composite Structural Bars in Oblique Contact-impact with a Solid Flat Surface

Wang

2019

Mech. Sci.

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Abstract. The oblique contact-impact characteristic of the composite structural bar composed of Babbitt alloy and low-carbon steel (ZChSbSb11-6 ∕ AISI 1020) with a solid flat surface (AISI 1045) was studied theoretically and experimentally. The dynamic equation of the composite structural bar with vibration response during the contact-impact was established using the momentum theorem and assumed mode method, and the instantaneous contact forces during different impact phases were analyzed based on modified Jackson–Green model. Four sets of experiments (i.e. different proportion of Babbitt, ξ={1/8,1/2,3/4,7/8}) for the initial angle, θ=45∘, and different initial velocities were performed; and, the rebound linear and angular velocity of the contact point of composite structural bar after impact was calculated and compared with experimental results. Besides, the coefficient of restitution, the relation of contact force and contact deflection, and the permanent deformation were also compared for the composite structural bars with different proportions in combination, ξ. Three critical angles are found to determine whether the composite bar slides or not, but are prominently different for the composite bars with different ξ. In comparing with the experimental results, the numerical solutions of rebound linear and angular velocity had yield encourage results and, all relative errors were small, indicating that the simulations are in good agreement with the experimental results. Also, the oblique contact-impact behavior involving the coefficient of restitution, the relation of contact force and contact deflection, and the permanent deformation was explained in detail. It can be concluded that as the proportion of Babbitt ξ increases, the composite structural bar presents a characteristic of ease of deflection. And the contact-impact behavior of structural entity is closely related to the inherent properties of the elasto-plastic material, especially for the weak material of composite structures. The more easily the impacting object is deformed, the small the contact force during the contact-impact, which also indicates the yield strength of weak material is a very significant parameter in the event of collision. Such work could give conducive insights to contact-impact problems of the key parts or structures composed of composite materials in mechanical system.

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“…For the mechanical vibration, it is a particularly important factor that cannot be neglected. 9,10 Even in the Hertz's analysis of contact, the vibration effect was also included, but not damping or friction.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive analyses of the elasto-plastic oblique contact-impact with vibration response

Meng

Wang

2018

Proceedings of the Institution of Mechanical Engineers, Part K:

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Contact-impact between different surfaces is a ubiquitous phenomenon especially in the mechanical systems. Previous work of authors indicated that the effect of longitudinal and/or transverse vibration response during the motion and dynamic modeling cannot be neglected for the elasto-plastic contact-impact events. In this study, further analyses were performed to characterize the contribution of longitudinal and transverse vibration responses during the elasto-plastic oblique contact-impact, and the formula to calculate the influence factor of vibration, ξ, was proposed based on the contact force with different vibrations during the impact. The momentum theorem and assumed mode method were used to develop the equations of motion of a flexible bar with a solid flat surface. Simulation results were compared with experimental results reported in the literature to verify the accuracy of the established model. The tangential and normal velocities of the contact point after the impact were compared with the simulations for different vibration cases, and the comparison between the simulations and the experimental results had yield encourage results. For different elasto-plastic materials, three critical initial impact angles had been found from the simulation to determine whether the flexible bar slides or sticks the flat surface. Although considering the effect of vibration response during the motion and dynamic modeling is very significant, increasing the number of shape functions did not effect the result significantly. The longitudinal and transverse vibration responses were found to effect the normal and tangential velocities of the contact point after the impact, respectively. Moreover, it had been shown that for the oblique contact-impact with sliding, considering the response of longitudinal and transverse vibration at the same time is more reasonable than other cases, which also reveals that, in this case, there is a good agreement between the simulation and experimental results. Besides, the mathematical expression on the influence factor of vibration depending on the initial velocity also had been obtained by a numerical analysis. This work can provide useful insights for dynamic modeling of complex multi-body systems during the contact-impact.

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Modeling the interaction between contact mechanisms in normal and tangential directions

Cited by 14 publications

References 32 publications

Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Analytical Study of Babbitt/steel Composite Structural Bars in Oblique Contact-impact with a Solid Flat Surface

Comprehensive analyses of the elasto-plastic oblique contact-impact with vibration response

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