Buckling calculations are done for central load euler. At first, a spur gear with perfect involute is modeled using a 3d cad software. Peter, the netherlands i have downloaded your hertzwin program and have confirmed that your hertz contact stress calculation matches what i have been using. Here in, we report the contact stress analysis of stainless steel spur gears by theoretical method using hertz equations and. Pitting is a surface fatigue failure due to repetitions of high contact stresses. I am performing contact stress analysis on an assmebly that has male and female mating parts similar to dovetail joint. This stillrelevant classical solution provides a foundation for modern problems in contact mechanics. Nov 28, 2014 this paper discusses the hertz contact theory validation using finite element analysis. Contact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertz contact stress analysis and validation using finite.
The results are compared, following the analysis, to the results calculated on basis of the relations in h. However, the simulations project that are created is openly available for all users on. Oct 15, 2016 i can strongly recommend the cloudbased simulation platform, simscale for stress analysis. Contact stress analysis of composite spur gear using photo. That calculation results of the ideal model are correspond to that of the finite element verifies the correctness of the finite element analysis method. Keywords hertz contact stress, contact fe analysis, stresses within rollers, roller contact analysis and. This kind of stress may not be significant most of the time, but may cause. The hertz contact stress is highly localized, so you need an element size maybe 3 to 10 times smaller than the width of the contact area, and i think both meshes. A free software application to calculate hertzian contact stress and point and line contact dimensions. As anthony said, learn about hertz contact stress before you try and run an analysis. Aug 07, 2012 actually, i believe you will have to include the wheels in the analysis. Just enter the data and flexbeam instantaneously provides you with the outcome. Im doing an analysis where i need to evaluate the contact area acoording to hertz theory.
The contact area is small compared to the size of the bodies. In this paper the bending stress over the lower addendum of the spur gear, shear and contact stresses by using the software tools like proe and ansys are employed to design and analysis. In this paper, the contact stress analysis of stainless steel spur gear by theoretical method using hertz equation and finite element analysis using ansys 16. Using hertz contact theory to calculate the contact stress and the deformation can save a lot of time. This paper presented analysis of bending stress and contact stress of involute spur gear teeth in meshing. Keywords hertz contact stress, contact fe analysis, stresses within rollers. Hertz contact stress is very localized, so you dont need a full cylinder, a half cylinder will do. Over a century ago hertz established a theory of contact mechanics that is still used today by engineers working in tribology to make his theory accessible for engineering applications the program calculates a fast and accurate solution this demonstration presents the hertzian contact stress distribution and elastic deformations it uses a color. The detailed gear stressing is the key of this paper. Moreover, previous studies primarily rely on extension of boussinesqs method, whereas practices in bearing industry have evolved to use of hertz equations for stress, deformation, and fatigue life calculations 7,8. Since my cams are designed in excel using splines with xyz points exported to solidworks curves, i really need my excel calculations of stress to be accurate, so i strove to fix them.
Hertz contact stress analysis and validation using finite element. In addition to normal and shear stress, you can also calculate contact stresses in rfem. Modeling hertzian contact stress in line contact by two. Tutorial on hertz contact stress university of arizona. Youngs modulus elasticity, also called elastic modulus of the cam and the camfollower n mm 2. The current goal is that the finite element analysis of the bevel gear is performed to. International journal of research in engineering, science. Out of these, failure of gears due to contact stress is high compared to bending stress. I have a book which shows me every step, except for how to calculate two coefficients, and insteads gives me a table of calculated values. The study of contact stress developed between the mating gears are very important for the gear design. Applicability of the hertz contact theory to rolling. I made sure that mesh is good most of the elements that are part of the contact area has aspect ratio close to 1 and meshed with brick elements. N karthik bommisetty abstract a finite element procedure has been developed in this work to determine the load distribution factor, km, of the agma formula for a set of spur gear. Contact stress analysis of hard coating rolling bearing.
For example, in mechanical engineering and tribology, hertzian contact stress is a description of the stress within mating parts. Simscale offers 3000 hours of computing per year for a free user. Actually, i believe you will have to include the wheels in the analysis. The pulley grooves wear interpret analytical form based on. Solidworks did, however, yield results very close to this free software. Dec 26, 2014 this paper discusses the hertz contact theory validation using finite element analysis. Contact stress analysis of spur gear for different. On this page the demo versions and the software documentation are available.
The problem is linear except for the contact condition between the two parts. The hertz contact theory is a study of the local stress and strain distribution. Stress analysis has been a key area of research to minimize failure and optimize design. Contact stress analysis of spur gear for different materials using ansys and hertz equation putti srinivasa rao1, nadipalli sriraj2, mohammad farookh2 1professor, dept. Bharat gupta, et al 4 describes the contact stress analysis of spur gear. The hertz contact theory the hertz contact theory consists of a series of mathematical equations to calculate normal, hoop, radial, and shear stress components on and within a soft flat surface or halfspace, known as the specimen, when pressed by a rigid hemisphere called the indentor appendix figure 1 1. The stress field under the surface is termed hertzian contact stress reference hertz 1881 has done the hard work to derive the equations we need to calculate the stress when there is contact between two bodies that are conformal or nonconformal. This paper presents the results of a study carried out using the finite element method, on the contact stresses between two bodies. For calculating these contact stress and bending stress analysis of spur gear both material of pinion and gear is made of steel. Hertz contact stress calculations and graphs with hertzwin. This paper discusses the hertz contact theory validation using finite element analysis.
The calculation is done using a tribology simulator software, which is available for download here its free to use. That is the only way to get reasonably accurate results. Prex could you please give me a reference for your advice the limits normally adopted for hertz s contact stresses are 4 times the allowable stress for linear contact and 5. I dont find the wikepedia article very illuminating. Structural fea software rfem and the frame analysis program rstab perform stress analysis of 2d and 3d structures. High contact stresses are always shown in one or two node locations.
Mohammad jebran khan reports the contact stress analysis of stainless steel spur gears by theoretical method using hertz equations and by finite element analysis using fea software ansys 14. Dec 06, 2016 hertz contact theory hct is a study of contact stress and deformation which is widely used in many engineering fields. Buckling calculations are done for central load eulerformula and for. Stress calculator software in hertz stress calculator the data.
Applicability of the hertz contact theory to rolling rubber cylinders. Hertz contact stress mechanical engineering general. For the contact patch dimensions a and b, i get the expression where i need to determine m and n. We can also do wear analysis due to frictional rubbing between the contact surfaces. The model is a simplified model of a train wheel on the rail. This paper presents a study by the finite element method fem of the contact tensions between two bodies and the results obtained are compared with the calculations obtained on basis of the relations of the theory of h. Create a steel semicylinder with a radius of 5 is pressed against a 2 deep aluminum base.
The objective of this work is to calculate the contact stress by using hertz theory and compare with fem results. Hertz contact problem describes the behavior of a steel cylinder pressed into an aluminium block. Apr 22, 20 step by step procedure of how to do static structural analysis of hertzian contact analysis ansys workbench. Trying the model the hertz contact behavior with the required, very small element sizes does not leave much processing capacity for modeling the global behavior. Keywordsbending stress, contact stress, lewis equation, hertz equation, spur gear. That creates a new face to hold onto on the bottom and to push on the top. Spur gear was modeled through parametric modelling in proe software. Hertz contact theory hct is a study of contact stress and. Contact stresses finite element analysis fea engineering. Stress analysis of mating involute spur gear teeth ijert.
Li xi, cao shihao and other 2 through hertz and finite element analysis software ansys,a study on the. Contact stress analysis of a helical gear scientific. My goal is to get consistent results with the analytical solu. To make his theory accessible for engineering applications, the program calculates a fast and accurate solution. With catia, the parametric modeling at the interface of the roller and pallet is carried out. It is difficult to get correct answer on gear tooth stress by implying fundamental stress equation, such as lewis formula for bending stress and hertz equation for contact stress. Herein, we report the contact stress analysis of stainless steel spur gears by theoretical method using hertz equations and by finite element analysis using fea software. Over a century ago hertz established a theory of contact mechanics that is still used today by engineers working in tribology. Contact stress and shear stress analysis of spur gear using. Bending stress and contact stress hertz stress calculation is the basic of stress analysis. Pdf frictional contact stress analysis of spur gear by. Keywords hertz contact stress, contact fe analysis, stresses.
The aim is to find the contact stress between rail and wheel. Hertzs analysis of contact stress involves the following set of assumptions. The results obtained from finite element analysis fea are compared with theoretical hertzian equation values. The solid model of railwheel contact model is created in catia v5. A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies surfaces known as the normal direction and frictional stresses acting tangentially between the surfaces. A short overview of the functionality of the rolling bearing analysis software. Contact stress and bending stress analysis of spur gear by. Contact analysis simplification contact problem definitions 6 267 r.
The contact stress in the mating gears is the key parameter in gear design. Contact stress analysis of spur gear to optimize mass or. Contact stress analysis of spur gear for different materials. The results obtained showed that difference between magnitude of the stresses for a given configuration of a spur gear and hertz contact stress, while. Stress analysis on spur gears using ansys workbench 16. The contact pressure results are then verified by twindisc. In a recently published contact mechanics challenge results, it was shown that bem based approach along with a computationally demanding greens functions approach is the most accurate way to calculate contact pressure for rough surfaces. The main factors that cause the failure of gears are the bending stress and contact stress of the gear tooth. Welsim finite element analysis software helps engineers and.
The model of two elastic cylinders is widespread in imprinter inking system and other fields, but it is difficult to analysis the contact stress and the deformation with finite element analysis software. The parameters that determine the hertzian contact stress are. These conditions require contact analysis of elastically graded materials under threedimensional 3d loading. The stress that occurs at the contact between two bodies is known as hertzian contact stress, see reference paper above. The material of both wheel and rail is steel and the friction coefficient is 0. This paper is a revised and expanded version of an article entitled, contact stress analysis in wheelrail by hertzian method and finite element method presented in national conference on recent advancements in mechanical engineering held at north east regional institute of science and technology, arunachal pradesh.
This paper presents the stress analysis of mating teeth of spur gear to find maximum contact stress in the gear teeth. Keywords hertz contact stress, contact fe analysis, stresses within rollers, roller contact analysis and hertz contact stress calculations. The price of flexbeam pro with its extensive functionality is 9. These stresses were first studied by the german physicist heinrich hertz in 1881. Hey, im modeling a hertz contact between a sphere and a rigid plane. Jerome, france i use hertzwin to calculate contact stiffness. When this happens, complex stresses are induced under the surface at the contact. As finite element method fem is the easy and accurate technique for stress analysis, fea is done in finite element software abaqus. Hertzian contact stress wolfram demonstrations project. Hertz contact stress analysis and validation using. If your contact calculation is for a hertz contact stress, then neither inventor stress analysis isa nor incad are calculating an accurate contact stress with that coarse mesh.
Contact stresses between two cylindrical bodies sciencedirect. When two bodies with curved surfaces are in contact under a force, point or line contact between these bodies. Hertz contact theory is a classical theory of contact mechanics and is a powerful tool for engineers and researchers. Now choose contact normal stress y, and then click ok.
Contact stress distribution of large diameter ball bearing. Cut the half circles vertically into quarter circles. Stress analysis has been a key area of research to minimize failure of the gear and optimize the design. You can immediately see, on one window, which load is calculated, the second moment of area and the resulting stress, deflection and slope. Pdf hertz contact stress analysis and validation using. The spur gear is sketched and modelled in ansys design modeller and the contact stress analysis is done in. Jan 23, 2020 an extremely high level of mesh refinement is typically needed to achieve a converged stress result in the hertzian contact area, so most customers use a 2d simplification study in solidworks simulation for this. From these above expressions, we can calculate principle stresses and maximum shear stress analysis of rail wheel contact stresses by using ansys ansys is finite element analysis software which enables engineers to perform the following tasks.
In the development phase, the contact stress analysis is carried out. In this article, a calculation of contact pressure in a rough contact is discussed. In 1882, hertz solved the contact problem of two elastic bodies with curved surfaces. The model is based on the halfspace theory approximation. Frictional contact stress analysis of spur gear by using finite element method. Contact stress analysis and optimization of bevel gear. In rstab, stress analysis is performed for member cross. The finite element analysis software ansys workbench was used for this purpose. Hertz contact analysis in welsim welsim finite element. Stress analysis of helical gear by finite element method govind t sarkar1, yogesh l yenarkar 1 and dipak v bhope corresponding author. I need to write up my calcs and submit to my customer.
If these calculations involve stress and deflection of beams, buckling, hertzian contacts point or line contact stress and deflection and flexure hinges, you can take advantage of the software applications flexbeam, hertzwin and flexhinge. Applicability of the hertz contact theory to rolling rubber. We can also do wear analysis due to frictional rubbing between the contact. However, there are many limiting conditions for the applications of the hct, in this paper, the contact model between a plastic cylinder and a rubber cylinder does not fit two limiting conditions. There is a dynamic discount 5% 15% for 5, 10, 20 en 50 users. Extended hertz theory of contact mechanics for case. A 2d plane strain model is a good idea, the half cylinders become half circles. How do i simulate hertz stress that results from contact pressure. The simulator uses a boundary element method bem with fast fourier transform and conjugate g.
Table4 compares the contact stress values obtained by using the hertz approach, agma and ansys for different modules. My compliments for the userfriendliness and the visual feedback. I have also had good luck with the use of a free software package called hertzwin by an engineering firm named vink netherlands for very local linear hertz contact stress analysis. There are several kinds of stresses present in loaded and rotating gear teeth. Pdf hertz contact stress analysis and validation using finite. This maximum contact stress value is almost identical with the values obtained by agma and lewis equations. Mechanical calculations contact stress, beam analysis.
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