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Methodology Development based on Robust Design and Sensitivity Parametric Analysis to Machine Components
Technical Paper
2002-01-3417
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Technological systems are designed to carry out very specific functions. Because of that, their components should have measurements that can guarantee their operability within the range of precision. Furthermore, the current systems are inherent parts of design involving multi-disciplinary aspects. Their development and analysis expose the designer to a series of unknown parameters from several sources such as material properties, environmental and operational conditions. Therefore, the qualification and quantification of these inherent sources of design uncertainties become very important in several aspects in the context of design development and so, a system is reliable and robust if it allows a certain range of uncertainties before the first failure occurs. With this in mind, we propose here the development of a methodology that can identified the sources of uncertainties and parameters that largely influence the whole design. An initial study focuses on a simple oscillatory system that consists of a mass, a spring and a damper. The full methodology developed in this paper consists in choosing the element or mechanical system and in choosing the experiment design for identifying the critical parameters (factorial designs or fractional designs). This proposal to the development of polynomial models (linear or quadratic) that should fit the experimental results from the factorial design. Once the critical parameters are obtained there is a search for optimum regions maximum, minimum or singular point. The steps used in the search interval occur along maximum or minimum lines that describe a region of interest or experimentation. The Response Surface Methodology (RSM) was chosen because this method searches the optimum region for each parameter and their fitting. A sensitivity analysis also takes place using canonical analysis and optimization methods for parameter fittings such the Steepest Ascent and/or Simplex Method. The last step is the confidence limits analysis, which searches for these parameters through the reliability concepts extended to convex models. Such models use closed regions for estimate and quantify the allowable ranges of variability to each parameter with respect to the critical parameters in the robust design concepts. Finally, the methodology is used in a case study of a mass-spring-damping system, and in the future, it is going to be applied systems such foundation structures and rotor-bearings systems.
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de Castro Silveira, Z. and Cavalca, K., "Methodology Development based on Robust Design and Sensitivity Parametric Analysis to Machine Components," SAE Technical Paper 2002-01-3417, 2002, https://doi.org/10.4271/2002-01-3417.Also In
References
- Asimow, M. 1968 Introdução ao projeto de engenharia Jou Mestre 171
- Achcar, J.A. 251
- Ben-Haim, Y. 1996 Robust reliability in the mechanical sciences Springer-Verlag Berlin 232
- Box, G.E.P. Hunter, W.G. Hunter, J.S. 1978 Statistics for experimenters: an introduction to design, data analysis and model building John Wiley & Sons 652
- Box, G.E.P Draper, N.R. Empirical Model-building and response surfaces John Wiley & Sons New York 1987
- Cavalca, K.L. Dedini, F. G. 1992 Supporting Structure Effects on Rotating Machinery Vibrations ImechE Proceedings of International Conference on Vibrations in Rotating Machinery 543 548
- Chen, W. et al. 1996 A procedure for robust design: minimizing variations caused by noise factors and control factors Transactions of the ASME 118 478 485
- Chen, W. et al. 2000 Exploration of the effectiveness of physical programming in robust design Journal of Mechanical Design 122 155 163
- Dunsmore, W. et al. 1997 Developing methodologies for robust mechanical engineering design Proceedings Instn. Mech. Engineers. ImechE 179 188
- Ferreira, P.A.V. Apostila de otimização não-linear 2000
- Kunjur, A Krishnamurty, S. 1997 A robust multi-criteria optimization approach Mechanical machine theory 32 7 797 810
- Martin, P. 1998 A review of mechanical reliability Proceedings Instn. Mech. Engineers. ImechE 281 287
- Myers R. H. Montgomery, D. C. 1995 Response Surface Methodology: process and product optimization using designed experiments John Wiley & Sons, Inc. 702
- Montgomery, D.C. 1991 Design and analysis of experiments John Wiley & Sons
- Phadke M. S. 1989 Quality engineering using robust design PTR Prentice Hall 334
- Rustaji J. S. 1994 Optimization techniques in statistics Academic Press 358
- Parkinson, D.B. Robust design employing a genetic algorithm Quality and reliability engineering international 201 208 2000