The Statistical Catastrophe Theory and Optimal Probability Based Design

Aleksandr Vasilyevich Pitukhin; Igor Skobtsov

doi:10.4028/www.scientific.net/AMM.741.283

Paper Titles

Verification and Validation for Model-Based Design
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Rapid Research and Design Parameterization of Outdoor Double Intelligent Cabinet
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Simulation Analysis of a Kind of Sewing Machine Needle and Pick Line Mechanism Based on ADAMS
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Design of Seven-Speed AT Scheme Based on the Romaxdesigner
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The Statistical Catastrophe Theory and Optimal Probability Based Design
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Design and Simulation of Thermopile Sensor Technology Based on Porous Silicon
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Fault Diagnosis with Mult-Signal Test for Reciprocating Compressor
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The Design of Automobile Wheel Hub Runout Online Detection System
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The Determination of Thermocouples Optimum Number in the Blast Furnace Hearth for Control of its Condition
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 741The Statistical Catastrophe Theory and Optimal...

The Statistical Catastrophe Theory and Optimal Probability Based Design

Abstract:

This paper deals with the statistical catastrophe theory method for the optimal design of machine components. A short introduction to the catastrophe theory is presented, the statement of optimal design problem is given in the first part of the paper. A single criterion design is presented; the reliability function is used as the objective function. The last part is focused on probability approach. Manage variables are viewed as random stationary processes, statistical linearization method and Pearson moment method are used for the reliability function evaluation.

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Periodical:

Applied Mechanics and Materials (Volume 741)

Pages:

283-286

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.741.283

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Online since:

March 2015

Authors:

Aleksandr Vasilyevich Pitukhin, Igor Skobtsov

Keywords:

Cusp Catastrophe, Optimal Design, Random Stationary Process

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