Bahattin Kanber

Stress and Displacement Distributions on Cylindrical Roller Bearing Rings Using FEM

Abstract Stress and displacement distributions on inner and outer rings of cylindrical roller bearings are investigated using the finite element (FE) method. FE models are solved by considering the interactions of steel shaft, inner ring, rollers, outer ring, and outer cage using ANSYS. The mesh convergence rates of FE models are investigated and the optimum number of elements is selected in the models. The load distributions on rollers are determined. The radial, tangential, and von Mises stresses are plotted along the inner and outer faces of the inner and outer rings. The radial, tangential, and total displacements are also investigated. FE solutions are validated with experiments and available analytic solutions.

Finite Element Analysis of Frictional Contacts of FGM Coated Elastic Members

Finite element (FE) analysis of frictional contacts of elastic members is presented with functionally graded material (FGM) coatings. The contact of cylinders with positive-positive and positive-negative curvatures and the contact of rectangular parts are investigated in details. The percent error in energy norm in the FE models are minimized and mesh convergence rates are compared with analytical results. Various analytical solutions are compared with FE solutions for different radii of curvatures. The slip and stick regions and contact stresses are investigated in all cases for different stiffness ratios.

Investigation of RPIM Shape Parameter Effects on the Solution Accuracy of 2D Elastoplastic Problems

The effects of radial point interpolation method (RPIM) shape parameters on the solution accuracy of 2D elastoplastic problems are investigated. The RPIM algorithm is adapted for the solution of 2D elastoplastic problems using the multi-quadric radial basis function. The convergence rates after yielding are investigated for perfectly plastic and hardening cases with various shape parameters. Both regular and irregular node distributions are used by considering the standard Gauss integration and nodal integration schemes. It is shown that the solutions after yielding can be improved using appropriate shape parameters. The propagation of plastic region and solution time of each case are presented against load increments.

Analysis of Spur Gears by Coupling Finite and Boundary Element Methods

Abstract Stress and deflection analysis of spur gears are presented by coupling finite and boundary element methods. Single-tooth, three-teeth, and whole-body spur gear models are solved using finite element methods in ANSYS (a finite element package). In addition to these models, two different whole-body models are developed using a coupling program written in Fortran 95. Keyway effects are included in the whole-body and coupling models. In each model, the stresses along the critical sections and deflections of midline of loaded tooth are investigated under the action of driving force. The variations of stresses and deflections are also represented at the critical points when the driving force application point is changing between tip and pitch. The effect of keyway position on stress and deflections is also presented. The results are compared with each other and ANSYS.

ASSESSMENT OF RPIM SHAPE PARAMETERS FOR SOLUTION ACCURACY OF 2D GEOMETRICALLY NONLINEAR PROBLEMS

This study discussed the effects of shape parameters on the radial point interpolation method (RPIM) accuracy in 2D geometrically nonlinear problems. Four finite deformation problems with compressible Neo-Hookean material are numerically solved with the RPIM algorithm using the multi-quadric (MQ) radial basis function. Both regular and irregular node distributions are used. Their displacements and Cauchy stresses are compared for different values of shape parameters and monomial basis. It is found that the shape parameters proposed for linearly elastic problems (q = 1.03, αc = 4) can still be applicable to 2D geometrically nonlinear problems but careful selections should be made for the calculation of stress. For example, when q is used as 1.75 with irregular node distributions, stresses can be calculated more precisely.

Boundary element analysis of contact problems using artificial boundary node approach

An improved version of the regular boundary element method, the artificial boundary node approach, is derived. A simple contact algorithm is designed and implemented into the direct boundary element, regular boundary element and artificial boundary node approaches. The exisiting and derived approaches are tested using some case studies. The results of the artificial boundary node approach are compared with those of the existing boundary element program, the regular element approach, ANSYS and analytical solution whenever possible. The results show the effectiveness of the artificial boundary node approach for a wider range of boundary offsets.

Vibration of Thin Beams by PIM and RPIM Methods

In this study, vibration of thin beams are analyzed by using point interpolation (PIM) and radial point interpolation (RPIM) methods with standard Gaussian integration and a nodal integration based on the Taylor series expansion. The effects of integration schemes, support domain sizes and RPIM shape parameters on the vibration modes are investigated. A cantilever beam problem is solved by linear elastic materials with uniform cross-section. The results are compared with finite element and available analytical solutions.

Comparison of PIM and RPIM Solutions of Elasto-Plastic Thick Beams

In this study, the point interpolation method (PIM) and radial point interpolation method (RPIM) solutions of elasto-plastic thick beams are compared by using standard Gaussian integration and a nodal integration based on Taylor series expansion. The effects of integration schemes, support domain sizes and RPIM shape parameters on the solution convergence are also investigated after yield point. The global weak form is used to obtain nodal stiffness matrixes. A simply supported beam with constant strength is solved by considering an elasto-plastic hardening material. Its results are compared with finite element solutions in ANSYS.