3 articles for “singularity analysis”

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Research ArticleOpen accessPhrase in the titleA New Perturbative Approach in Nonlinear Singularity AnalysisTat-Leung YeeProblem statement: The study is devoted to the “mirror” method which enables one to study the integrability of nonlinear differential equations. Approach: A perturbative extension of the mirror method is introduced. Results: The mirror system and its first perturbation are then utilized to gain insights into certain nonlinear equations possessing negative Fuchs indices, which were poorly understood in the literatures. … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 29 Jul 2011 · 7,331 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleSingularity Analysis of a Hybrid Serial-Cable Driven Planar RobotSamir Lahouar, Lotfi RomdhaneIn this study, we address the problem of singularities of a hybrid serial-cable driven planar robot. Based on an analytical kinetostatic analysis three types of singularities are determined, i.e., serial, parallel, and combined singularities. In addition, cable tensions should be positive, otherwise, the robot will be uncontrollable. The serial singularity corresponds to positions where the serial port of the robot … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 3 · 26 Sep 2022 · 5,604 accessesView PDF Cite

Research ArticleOpen accessIn the abstractThree Dimensional Investigation of Mode I Stress Intensity Factor Variations in Crack Front Using Finite Element MethodM. M. MirsayarOverall failure may occur in many engineering structures due to the initiation and growth of cracks. Stress intensity factors are extensively used to investigate crack growth in Linear Elastic Fracture Mechanics (LEFM). In many cracked specimens, the stress singularity varies through the thickness and therefore, investigation of stress intensity factor variation in crack front and determination of its maximum value … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 26 Jan 2015 · 7,331 accessesView PDF Cite