Clamped edge stress analysis in H-13 steel

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.217845

Keywords:

clamped edge stress, modal analysis, dynamic response, clamping system, modal stresses

Abstract

The dynamic behavior in the clamped edge stress of structures is not yet fully understood clearly; also, clamped structures involve uncertainty. This research presents a numerical and analytical study of clamped edge stress behavior due to the load imposed by the chip-cutting tool on a workpiece. Clamping system, which is made of H-13 steel and machining workpiece made of AISI 8620 steel are analyzed. The maximum clamped edge stress is analyzed through dynamic response, considering the machined part as a cantilever beam, involving the constitutive relations as well as the compatibility equations. The central differential equation of motion leads us to determine the modal stresses that are a primary characteristic of the structure and that are also distributed in it. Once the modal stress has been determined as well as the maximum amplitude at the free end of the specimen to be machined, it is possible to calculate the maximum clamped edge stress that is generated between both the specimen and the clamping system. Finally, a numerical analysis of the clamping jaw is performed for the discretised system and analyzed separately using the finite element method. Clamped edge stresses are assessed through a modal study using a set of numerical simulations to corroborate the modal stress estimated analytically. The results show that the clamped edge stress in the clamping system is a considerable influence in the design parameters of the structure. Therefore, complete knowledge of the dynamic response of the clamping system will lead to better structural design with the possibility of using different materials for the same purpose

Supporting Agencies

  • The authors gratefully acknowledge the financial support from the Mexican government by the Consejo Nacional de Ciencia y Tecnología. Authors acknowledge partial support projects 20201964
  • 20200930 and 20200305
  • as well as an EDI grant
  • all by SIP/IPN.

Author Biographies

Carlos de la Cruz Alejo, National Polytechnic Institute Santa Ana ave., Mexico City, Mexico, 1000

PhD, Professor

Department of Mechanical Engineering

Higher School of Mechanical and Electrical Engineering

Christopher R. Torres-San Miguel, National Polytechnic Institute Lindavista ave., México City, Mexico, 07738

PhD, Professor

Department of Mechanical Engineering

Postgraduate Studies and Research Section

Juan Paredes-Rojas, National Polytechnic Institute Ticomán, Mexico City, Mexico, 07340

PhD, Professor

Mexican Center for the Cleanest Production

Fernando E. Ortiz-Hernández, National Polytechnic Institute Santa Ana ave., Mexico City, Mexico, 1000

MsC.

Department of Mechanical Engineering

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Published

2020-12-31

How to Cite

de la Cruz Alejo, C., Torres-San Miguel, C. R., Paredes-Rojas, J., & Ortiz-Hernández, F. E. (2020). Clamped edge stress analysis in H-13 steel. Eastern-European Journal of Enterprise Technologies, 6(7 (108), 14–20. https://doi.org/10.15587/1729-4061.2020.217845

Issue

Section

Applied mechanics