Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity

Vasilios A. Spitas, Theodore N. Costopoulos, Christos A. Spitas

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5% can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity.

Original languageEnglish
Pages (from-to)1159-1164
Number of pages6
JournalJournal of Mechanical Design, Transactions of the ASME
Volume128
Issue number5
DOIs
Publication statusPublished - Sep 2006
Externally publishedYes

Fingerprint

Photoelasticity
Gear teeth
Geometry
Gears
Interpolation
Torque

Keywords

  • BEM
  • Complex algorithm
  • Optimization
  • Photoelasticity
  • Root stress
  • Spur gears

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity. / Spitas, Vasilios A.; Costopoulos, Theodore N.; Spitas, Christos A.

In: Journal of Mechanical Design, Transactions of the ASME, Vol. 128, No. 5, 09.2006, p. 1159-1164.

Research output: Contribution to journalArticle

@article{7097d3f20a7d496d97faf8052fb82e76,
title = "Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity",
abstract = "This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5{\%} can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity.",
keywords = "BEM, Complex algorithm, Optimization, Photoelasticity, Root stress, Spur gears",
author = "Spitas, {Vasilios A.} and Costopoulos, {Theodore N.} and Spitas, {Christos A.}",
year = "2006",
month = "9",
doi = "10.1115/1.2216731",
language = "English",
volume = "128",
pages = "1159--1164",
journal = "Journal of Mechanical Design - Transactions of the ASME",
issn = "1050-0472",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "5",

}

TY - JOUR

T1 - Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity

AU - Spitas, Vasilios A.

AU - Costopoulos, Theodore N.

AU - Spitas, Christos A.

PY - 2006/9

Y1 - 2006/9

N2 - This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5% can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity.

AB - This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5% can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity.

KW - BEM

KW - Complex algorithm

KW - Optimization

KW - Photoelasticity

KW - Root stress

KW - Spur gears

UR - http://www.scopus.com/inward/record.url?scp=33748607151&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748607151&partnerID=8YFLogxK

U2 - 10.1115/1.2216731

DO - 10.1115/1.2216731

M3 - Article

VL - 128

SP - 1159

EP - 1164

JO - Journal of Mechanical Design - Transactions of the ASME

JF - Journal of Mechanical Design - Transactions of the ASME

SN - 1050-0472

IS - 5

ER -