It is designed for practicing and student engineers alike. Keywordscontact stress, spur gear, contact ratio, finite elements. The aim is to find the contact stress between rail and wheel. After hertz s work, people do a lot of study on the stresses arising from the contact between two elastic bodies. Pdf hertz contact stress analysis and validation using. Introduction when there are two nonconforming surfaces that come into contact the point or line of contact can be a location of very high stress values. Hertz contact stress analysis and validation using finite. Hertz contact stress analysis and validation using finite element analysis mr. The simplest modification is to crown the cylinder that the contact is of double radius type, just as hertzian theory handles. The spur gear is sketched and modelled in ansys design modeller and the contact stress analysis is done in mechanical ansys multiphysics.
Analysis steps lthe preprocessor called pr ep7 in ansys is where you provide the majority of the input to the program. Nonlinear contact stress analysis of bolted poles ansys. Hertz developed a theory to calculate the contact area and pressure between the two. Pdf hertz contact stress analysis and validation using finite. The material of both wheel and rail is steel and the friction coefficient is 0. Hertzian contact of a cylinder and a sphere, steuermann contact of. The ansys code offers stress analysts a variety of contact element options. In this study, maximum contact stress is determined. Ansys and its graphic user interface, workbench version 14. Ansys contact free download as powerpoint presentation. Hertz contact stress analysis and validation using.
Hertz contact stress analysis and validation using finite element analysis 3,777 views. Contact stress analysis of spur gear for different. This paper presents the stress analysis of mating teeth of spur gear to find maximum contact stress in the gear teeth. Contact stress analysis of spur gear for different materials. Axisymmetric analysis of a pressure vessel the pressure vessel shown below is made of cast iron e 14. Since we are using hertzs assumption of no friction, we can nd the normal stresses. Scribd is the worlds largest social reading and publishing site. Sliding perpendicular to its axis and sliding spheres. Smart size is used the number of elements near the roots of the teeth are automatically are much greater than in other places. Finally, the next video shows how to apply boundary conditions, i. Ansys workbench contact stress help i am trying to model hertz contact stress for a cylinder on a plane, but my fea pressure is less than a factor of 17 when comparing my calculations to the results. Stresses surface tractions and sliding contact cylinder. For an electronic copy pdf of the relevant report, click here consider a simple problem that illustrates a comparison between the analytical and numerical results.
Contact stress analysis of composite spur gear using photostress. For an electronic copy pdf of the relevant report, click here. Stress analysis spur gear design by using ansys workbench. Contact pressure prediction comparison using implicit and. Hertz contact problem describes the behavior of a steel cylinder pressed into an. Journal of applied mechanics, june 1953 6 nicholas lecain, tutorial of hertzian contact stress analysis college of optical sciences, university of arizona, tucson. Procedia engineering 38 2012 264 a 269 18777058 a 2012 published by elsevier ltd. The maximum shear stress obtained from ansys is 268. The contact stress in the mating gears is the key parameter in gear design.
In the contact analysis of ball bearing hertzian contact theory is used. At the point of contact z0 so the maximum pressure is the maximum stress at contact. A 2d plane strain model is a good idea, the half cylinders become half circles. During the transmission of torque of 15000 lbin or 1694. The literature has indicated a growing interest in the field of stress concentration analysis in the pressure. This paper has been written to discuss the hertz contact stress and examples of fea. Introduction when there are two nonconforming surfaces that come into contact the point or line of contact can be a location. Thaker salih dawood investigation the dynamic stresses of vibration in outer race of low speed ball bearing. The surface fatigue mechanism is not definitively understood. Classical, theory and matlab codes, as well as experimental resultsare used to verify finite element, solutions for a simple structuresuch as a cantilevered beam. Contact stress analysis of composite spur gear using photo. The model is a simplified model of a train wheel on the rail.
Hertz contact stress calculations and graphs with hertzwin. In this paper using ansys work bench software, bending stress, contact stress and static load on the tooth of spur gear drive is found. Three dimensional models in this section the tooth root stresses and the tooth deflection of one tooth of a spur gear is calculated using an ansys model. Hertz contact stress analysis and validation using finite element analysis 1. The application performs all calculations automatically. The contactaffected zone, in the absence of surface shearing tractions, entertains compressive principal stresses. Contact stress and shear stress analysis of spur gear. Hertz contact stress is very localized, so you dont need a full cylinder, a half cylinder will do.
The results give us a good guide of bolted pole design. In the following video we will demonstrate how to set up the contact interface using frictionless contacts. Mostly you will find free online courses on ansys there, if not vist it often. The problem is linear except the contact condition at the base which is modeled using the contact pair approach. I am guessing it is how i am applying the force boundary condition, but not sure how i would come up with 17000 n from n the number i am. 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. The igs model was imported as model geometry from catia software. Hertz contact stress calculations hertzwin is a free hertzian contact stress calculator. Ansys simulation of hertz contact stress of a bearing ball. The dimensions of the gears are given in table below. Contact stress and shear stress analysis of spur gear using. Is it important to give the non linear behaviour to it.
Finite element analysis of this contact point is carried out in ansys workbench. The commercial software ansys workbench used as a fea tool in this. I found the original pdf benchmaks report yesterday and try to reproduce it with salomeprepomaxcalculix, but still the results shows a little penetration about 0. Topics that are covered include solid modeling, stress analysis, conductionconvection heat transfer, thermal stress, vibration and buckling. They are linked with prestigious universities like mit, harvard, boston etc. A study of shock analysis using the finite element method.
May 28, 2015 you need a really refined mesh maybe 2030 elements per tooth, and set the surfaces that come in contact as no penetration pointtosurface contact. Tutorial of hertzian contact stress analysis university of arizona. Tutorial hertz contact stress university of arizona. Contact stress distribution of large diameter ball bearing. An introduction to elasticity and contact problems in mechanical apdl 15. Mae 3323 press and shrink fits ansys workbench tutorial video thermal contact non page 35. The model is done in design modeler of ansys workbench. Lab 8 geometry creation hertzian contact create the geometry in the ansys dm or the cad software of your choice. Nov 28, 2014 hertz contact stress analysis and validation using finite element analysis mr. Santosh patil studies the effect of coefficient of friction along the line of action of a spur gear. You need a really refined mesh maybe 2030 elements per tooth, and set the surfaces that come in contact as no penetration pointtosurface contact. Contact stresses and deformations mechanical engineering. The hertz contact stress usually refers to the stress close to the area of contact between two spheres of different radii. The numerical model used in the study on the interaction between fretting wear and cyclic plasticity for ti6al4v by mohd tobi et al.
In reality, a small contact area is being created through elastic deformation, thereby limiting the stresses considerably. That creates a new face to hold onto on the bottom and to push on the top. In hertz stress calculator the data assumed for calculation provided as input for calculating contact stress is shown in fig. Stresses formed by the contact of two radii can cause extremely high surface stresses. Dec 12, 2014 in this video, i have talked about the way in which the analysis is to be done of a cylinder being compressed between two rectangular plates in ansys. Use of contact pair in ansys hertzian stresses on contact. The results obtained from finite element analysis fea are compared with theoretical hertzian equation values. I practically followed this tutorial, but the only difference besides the case is that i am doing a 3d cylinder instead of 2d sphere. Introduction itting is a surface fatigue failure resulting from repetitions of high contact stress. Contact stresses and deformations curved surfaces in contact. Consider a simple problem that illustrates a comparison between the analytical and numerical results. Cut the half circles vertically into quarter circles.
Hertzwin is a free hertzian contact stress calculator. The application of hertzian contact stress equations can. In ansys the result is plotted by selecting the series of nodes at the contact region. Thermal stress and strain in solid video dailymotion. Tutorial of hertzian contact stress analysis college of optical sciences, university of arizona, tucson, pp1 to 6, 3 dec 2011.
Hertzian contact stress step by step procedure of how to do static structural analysis of hertzian contact analysis ansys workbench. Tutorial on hertz contact stress university of arizona. Apr 22, 20 step by step procedure of how to do static structural analysis of hertzian contact analysis ansys workbench. In this example problem, a steel cylinder with a radius of 5 is pressed against a 2 deep aluminum base. Nov 28, 2018 the student community is a public forum for authorized ansys academic product users to share ideas and ask questions. It can be used to calculate mechanical point and line contact dimensions and material stresses.
The exercises in ansys workbench tutorial release 12. L its main purpose is to generate the finite element model, which consists mainly of nodes, elements, and material property definitions. Hertz contact stress analysis and validation using finite element analysis. File type pdf ansys workbench contact analysis tutorial slgmbh dimensional 3d bridge truss with a surface slab as the platform. We can also do wear analysis due to frictional rubbing between the contact surfaces.
This research study has been carried out for the contact analysis of roller bearing using cae tools catia and ansys. Through contact analysis the changes could be showed in stress, strain. As shown in the diagram below, consider a problem where we apply a downward force f of 60. Contact stress analysis of a roller conveyor irjet.
Tutorial of hertzian contact stress analysis, opti 521. Hertz contact mechanics physics setup simcafe dashboard. Modeling hertzian contact stress in line contact by two. In this paper, we carry out a nonlinear contact stress analysis of the bolted pole using ansys. Tutorial hertz contact stress brian taylor opti521 fall 2016, sid. Me en 7960 precision machine design contact stresses and deformations 78 spheres in contact vertical stress distribution at center of contact area plot shows material with poissons ratio. Contact stress analysis of spur gear for different materials using ansys and hertz equation putti srinivasa rao1, nadipalli sriraj2, mohammad farookh2 1professor, dept. Log on to edx edx is an online learning platform offering course on almost every subjects. Index terms bending stress, contact stress, gear analysis using ansys work bench, static load.
Nicholas lecain opti 521 december 3, 2011 tutorial of hertzian contact stress analysis 8. Bonded and no separation contact status will depend on. The hertzian contact problem that consists of contact between spheres, cylinders, cones and flat surfaces. In this video, i have talked about the way in which the analysis is to be done of a cylinder being compressed between two rectangular plates in ansys.
Oct 23, 2014 hi harish, yes, i think for hertzian contact that you have to model it as a general contact, which is nonlinear a linear contact is basically welded so it can only display a static contact pressure, but in case of a gear, your gear is rotating so this is definitely nonlinearyou can consider it as static though supposing your gear rotates. Step by step procedure of how to do static structural analysis of hertzian contact analysis ansys workbench. The student community is a public forum for authorized ansys academic product users to share ideas and ask questions. Lesson 9 hertz contact problem patran 322 exercise workbook 93 model description. Then with the local max stress value at the root of the tooth you can analyse the fatigue using the sn diagram of the material and you can find also the pv limit of the gear using the local. International journal for research in applied science. He determines the shape function which define the change of contact. The contact pressure results are then verified by twindisc experimental results and the hertzian contact pressure equation 10. The comparison of manual analytical result, result obtained by hertz stress. A clearly laidout window allows you to enter material properties, dimensions and loads.
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