Precision Analytic Algorithms on Contact Stiffness of Parts

2012 ◽  
Vol 271-272 ◽  
pp. 1067-1072
Author(s):  
Fei Wan ◽  
Guo Xi Li ◽  
Zhi Hua Rao
Keyword(s):  
Dynamic Characteristics ◽  
Contact Surface ◽  
Contact Stiffness ◽  
Fractal Theory ◽  
Contact Theory ◽  
Cross Linking ◽  
Surface Model ◽  
Hertz Contact ◽  
Hertz Contact Theory ◽  
The Relationship

The couplings join the various parts together to form an assembly through contact surface, which the stiffness plays an important role for the machine characteristics. Hertz contact theory constructed the relationship between preload and stiffness from a macro perspective, while MB fractal theory presented the mapping between preload and stiffness from microscopic viewpoint. A more precise contact surface model about load and stiffness is established through learning from each other and cross-linking to prepare for analyzing the whole dynamic characteristics.

Contact Model of Double Circular Arc Gear Based on Fractal Theory

2010 ◽  
Vol 43 ◽  
pp. 414-419
Author(s):  
Kang Huang ◽  
Song Bo Han ◽  
Rong De Yang ◽  
Shun Xu
Keyword(s):  
Fractal Theory ◽  
Strength Calculation ◽  
Contact Model ◽  
Contact Theory ◽  
Contact Strength ◽  
Hertz Contact ◽  
Circular Arc ◽  
Hertz Contact Theory

Aiming at the problem that it is difficult to solve contact strength calculation of double circular arc gear with the method of traditional the Hertz contact theory and FEM, methods of fractal theory had been used to establish the contact model of double arc gear based on fractal theory, and an example of calculation was given away. This article results that it is feasible to calculate contact strength with fractal theory in the driving of concave convex meshing gear and this contact model of double circular arc gear based on fractal theory would provide a new way of the research of contact strength calculation of double circular arc gear.

scholarly journals Investigation on indentation rolling resistance of belt conveyor based on Hertz contact theory compared with one-dimensional Winkler foundation

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878393 ◽  
Author(s):  
Lu Yan
Keyword(s):  
Rolling Resistance ◽  
Contact Theory ◽  
Theoretical Formula ◽  
Winkler Foundation ◽  
Hertz Contact ◽  
Belt Conveyor ◽  
One Dimensional ◽  
Hertz Contact Theory ◽  
Viscoelastic Theory ◽  
Indentation Rolling Resistance

Based on Hertz contact theory and one-dimensional Winkler foundation combination with viscoelastic theory, the author derived theoretical formulas of indentation rolling resistance, respectively. Using the laboratorial apparatus of indentation rolling resistance, the author mainly concentrates on the error analysis about two kinds of theoretical formula which bear on indentation rolling resistance compared with experimental result. The reason why author employs Hertz contact theory to discuss indentation rolling resistance is that indentation rolling resistance is a sort of contact resistance. As a result, Hertz contact theory is generally applicable to study it. On the other hand, because conveyor belt has viscoelastic property, it is appropriate to use viscoelastic theory by the aid of three-parameter Maxwell viscoelastic model combination with one-dimensional Winkler foundation. Ultimately, this article infers that theoretical formula based on the Hertz contact is brief and clear compared with one-dimensional Winkler foundation in principle. However, it is noticeable that when the belt is at high speed, the reliability of formula based on Hertz theory has decreased obviously. This conclusion can give a beneficial reference for the energy saving of belt conveyor.

Virtual Material Model of Joint Interfaces Considering Elastic-Plastic Deformation of Asperities

2013 ◽  
Vol 457-458 ◽  
pp. 257-261
Author(s):  
Li Gang Cai ◽  
Teng Yun Xu ◽  
Yong Sheng Zhao
Keyword(s):  
Plastic Deformation ◽  
Elastic Modulus ◽  
Fractal Theory ◽  
Material Model ◽  
Contact Theory ◽  
Hertz Contact ◽  
Calculation Methods ◽  
Elastic Plastic ◽  
Element Simulation ◽  
Simulation Results

A virtual material model of joint interfaces was established based on the Hertz contact theory and fractal theory, this model was improved by considering the influence of the elastic-plastic deformation of asperities and ameliorating the calculation methods of the elastic modulus. The simulation results of elastic-plastic considered and elastic-plastic unconsidered were compared, moreover, the finite element simulation results and experimental results were compared to fully explain the necessity of considering the influence of the elastic-plastic deformation and the the correctness of the method to calculate the elastic modulus. The research suggested that under a same load the elastic modulus of the model considering the influence of the elastic-plastic deformation was slightly larger than the un considering one, which means it could describe the characteristics of joint interfaces more accurately.

scholarly journals Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory

2012 ◽  
Vol 53 ◽  
pp. 99-121 ◽  
Author(s):  
Margarida Machado ◽  
Pedro Moreira ◽  
Paulo Flores ◽  
Hamid M. Lankarani
Keyword(s):  
Multibody Dynamics ◽  
Contact Force ◽  
Contact Theory ◽  
Hertz Contact ◽  
Hertz Contact Theory

Analysis of the Gearing Theoretic between Plastic Helical Gear and Steel Worm

2010 ◽  
Vol 34-35 ◽  
pp. 232-237
Author(s):  
Yi Shu Hao ◽  
Bin Nan Yue ◽  
Xin Xing Zhu
Keyword(s):  
Deformation Process ◽  
Helical Gear ◽  
Tooth Profile ◽  
Contact Theory ◽  
Hertz Contact ◽  
Stress Strain ◽  
Hertz Contact Theory ◽  
Potential Contact ◽  
The Law ◽  
Strain Status

The gearing transmission equation was deduced by the principle of the engagement characteristics between plastic helical gear and steel worm. This paper makes an analysis on the law which is the deformation process of tooth profile and potential contact in different kinds of load by means of Hertz contact theory. The paper also uses MSC.Nastran to simulate the stress-strain status, the deformation process and arrives at the law of gearing changing, which was verified the correctness of the analysis above.

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