An Alternative Numerical Solution to a Screw-Thread Problem Using Displacement-Potential Approach

Abstract

An alternative numerical solution to a screw-thread problem is presented. A displacement-potential-based computational scheme is developed to model the physical conditions and the arbitrary shape of the screw-thread geometry, wherein the principle of linear interpolation is used to transfer the boundary values at the non-nodal boundary points to neighboring field nodal points. The elastic field of a Buttress thread is analyzed to obtain the distributions of displacements and stresses over its normal cross-sections. The solutions are then compared and discussed in light of those obtained by analytical as well as standard computational approaches.

Keywords:

• Alternative solution
• Screw thread
• Arbitrary boundary shape
• Linear interpolation
• Displacement potential