Abstract

This paper shows the development of a mathematical model based on elasto-plastic behavior of materials in order to determine the bending moment and the maximum straightening force required to repair a bent shaft. The importance of this work is because many machines use shafts to transmit power and movement, and these elements can suffer permanent deflections during operation cycles. An appropriate reparation process can increase the life of these elements significantly. Knowing the mechanics for a straightening process is essential for design, processes and maintenance engineers in charge of systems that use these elements (shafts).

Highlights

  • The most used mechanical element to transmit power and movement is a shaft

  • Elasto-plastic model to determine the maximum force for shaft straightening process

  • The integral is a Riemann series evaluated over a range in which the function to be integrated is uniformly continuous, : the maximum force required for a straightening process is given by: F = L M max, required max fmax, required

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Summary

Introduction

The most used mechanical element to transmit power and movement is a shaft. They are used in all kind of industrial systems. The main parameter for straightening machines is the maximum force that can be applied in the process. It is important to know the mechanics of the straightening process; some studies used experimental data (Schleinzer, et al, 2001; Srimani, et al, 2005) and numerical models (Jing, et al 2013; Wu, et al, 2000). Graduate Student (M.Sc. in Mechanical Engineering), Universidad del Norte, Colombia.

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