VM292

VM292
Interference Fit Between Two Cylinders

Overview

Reference: Budynas, R.G., Nisbett, J.K., Shigley's Mechanical Engineering Design, 9th edition, pg. 116, 2011
Analysis Type(s):
Static Analysis (ANTYPE = 0)
Element Type(s):
3D 8-Node Structural Solid (SOLID185)
3D 8-Node Surface-to-Surface Contact (CONTA174)
3D Target Segment (TARGE170)
Input Listing: vm292.dat

Test Case

Two cylinders connected by means of standard frictionless contact are modeled with an interference fit between them. Static analysis is performed to predict the contact pressure between the two cylinders.

Figure 510: Problem Sketch

Problem Sketch

Material Properties Geometric PropertiesLoading
Young's Modulus, E = 206 x 109N/M2
Poisson's Ratio, ν = 0.0
Inner radius of internal cylinder, ri = 1.250 m
Outer radius of internal cylinder, R = 1.516 m
Outer radius of external cylinder, ro = 1.750 m
Width for both the cylinders = 1.50 m
Interference overclosure = 0.02 m

Analysis Assumptions and Modeling Notes

The cylinders are modeled using 3D 8-Node Structural Solid (SOLID185) elements. The cylinders are connected by means of standard frictionless contact pairs (CONTA174 and TARGE170 elements) by including initial geometric gap/offset with ramped effects. The cylinders are modeled with dissimiliar mesh and the projection-based method was used for the contact location detection point. The top and bottom sides of two cylinders are constrained in the vertical direction and UZ degrees of freedom are constrained on nodes at location Z = 0 m and Z = 1.5 m. The Poisson's ratio of 0.0 is used as it is not considered in the reference calculation.

The geometry correction for the cylinder is done using SECTYPE,CONTACT. The contact pressure between the cylinders is computed and compared against the reference solution (equation 3.57, pg. 116). The contact pressure is not uniform along the top and bottom edges because the contact surface normal along the edges does not align perfectly with the global X or Y direction. Mesh refinement is usually required to achieve an accurate solution on the edges.

The reference solution is computed by:

where

= contact pressure
= Young’s Modulus
= interference gap between the two cylinders
= outer radius of external cylinder
= outer radius of internal cylinder
= inner radius of internal cylinder

Results Comparison

 TargetMechanical APDLRatio
Contact pressure between external and internal cylinders (N/M2)2.2163 x 108 2.1936 x 108 1.010