Interval Solution for Nonlinear Programming of Maximizing the Fatigue Life of V-Belt under Polymorphic Uncertain Environment. (15th April 2013)

• Record Type: Journal Article
• Authors: Wan, Zhong; Zhang, ShaoJun; Zhou, Yanju
• Other Names: Seyranian Alexander P. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-04-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/712825
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In accord with the practical engineering design conditions, a nonlinear programming model is constructed for maximizing the fatigue life of V-belt drive in which some polymorphic uncertainties are incorporated. For a given satisfaction level and a confidence level, an equivalent formulation of this uncertain optimization model is obtained where only interval parameters are involved. Based on the concepts of maximal and minimal range inequalities for describing interval inequality, the interval parameter model is decomposed into two standard nonlinear programming problems, and an algorithm, called two-step based sampling algorithm, is developed to find an interval optimal solution for the original problem. Case study is employed to demonstrate the validity and practicability of the constructed model and the algorithm.