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Abstract

The article discusses the weldment to casting conversion process of rocker arm designed for operation in a special purpose vehicle to

obtain a consistency of objective functions, which assume the reduced weight of component, the reduced maximum effort of material

under the impact of service loads achieved through topology modification for optimum strength distribution in the sensitive areas, and the

development of rocker arm manufacturing technology. As a result of conducted studies, the unit weight of the item was reduced by 25%,

and the stress limit values were reduced to a level guaranteeing safe application.

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Authors and Affiliations

M. Maj
S. Pysz
R. Żuczek
J. Piekło
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Abstract

In line with the principles of modern design a building structure should not only be safe but also optimized. In deterministic optimization, the uncertainties of the structures are not explicitly taken into account. Traditionally, uncertainties of the structural system (i.e. material parameters, loads, dimensions of the cross-sections) are considered by means of partial safety factors specified in design codes. Worth noticing, that optimal structures are sensitive to randomness design parameters and deterministic optimal solutions may lead to reduced reliability levels. It therefore seems natural to extend the formulation of deterministic optimization with the random scatter of parameter values. Such a formulation is offered by robust optimization and reliability-based design optimization. The applicability ofRBDOis strongly dependent on the availability of the joint probability density function.Aformulation of non-deterministic optimization that better adapts to the design realities is robust optimization. Unlike RBDO optimization, this formulation does not require estimation of failure probabilities. In the paper using the examples of steel beams, the authors compare the strengths and weaknesses of both formulations.
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Authors and Affiliations

Paweł Zabojszcza
1
ORCID: ORCID
Urszula Radoń
1
ORCID: ORCID
Piotr Tauzowski
2
ORCID: ORCID

  1. Kielce University of Technology, Faculty of Civil Engineering and Architecture, Al. Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland
  2. Institute of Fundamental Technological Research Polish Academy of Sciences, Department of Informationand Computational Science, Adolfa Pawinskiego 5B St., 02-106 Warsaw, Poland
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Abstract

Although gear teeth give lots of advantages, there is a high possibility of failure in gear teeth in each gear stage in the drive train system. In this research, the authors developed proper gear teeth using the basic theorem of gear failure and reliability-based design optimization. A design variable characterized by a probability distribution was applied to the static stress analysis model and the dynamics analysis model to determine an objective function and constraint equations and to solve the reliability-based design optimization. For the optimization, the authors simulated the torsional drive train system which includes rotational coordinates. First, the authors established a static stress analysis model which gives information about endurance limit and bending strength. By expressing gear mesh stiffness in terms of the Fourier series, the equations of motion including the gear mesh models and kinematical relations in the drive train system were acquired in the form of the Lagrange equations and constraint equations. For the numerical analysis, the Newmark Beta method was used to get dynamic responses including gear mesh contact forces. From the results such as the gear mesh contact force, the authors calculated the probability of failure, arranged each probability and gear teeth, and proposed a reasonable and economic design of gear teeth.
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Bibliography

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Authors and Affiliations

Changwoo Lee
1
Yonghui Park
2
ORCID: ORCID

  1. Pohang Institute of Metal Industry Advancement, Pohang, Republic of Korea
  2. Department of Mechanical Engineering, Yuhan University, Bucheon, Republic of Korea

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