International Journal of Structural Mechanics and Finite Elements
Volume 5, Issue 2 (2019)
Published
Table of contents
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Weight Optimization of Motorcycle Frame by Finite Element Analysis
Abstract: Frame is one of the main components of the two-wheeler vehicle. All the important accessories of the two-wheeler are mounted on the frame. It is subjected to various types of loads which could affect the life of the frame. Therefore, it is necessary to analyze the motorcycle frame for various parameters such as thickness, materials and loading conditions. The optimization of design is very difficult and the effect is little …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 1–11 Read article
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A Note on Fixed-Point Theory
Abstract: In this paper, we narrate in brief the origin and step-by-step development of the fixed-point theory which finds its primary applications in functional analysis. It is a sub-branch of the functional analytic theory in which geometric conditions on the mappings and/or underlying spaces play a crucial role. It is also a major branch of nonlinear functional analysis with close ties to Banach space geometry. In this paper, our main focus …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 12–19 Read article
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Application of Three-dimensional Differential Transform Method to Dynamic Vibration Analysis of Rectangular Plate Resting on Elastic Foundation
Abstract: Research on vibration analysis of non-homogenous and varying thickness plate has gained a tremendous increment in recent year due to its vast application in many fields of engineering. This study investigate the dynamic behavior of rectangular plate with varying thickness resting on two-parameter foundation under simply supported free edge condition. The governing differential equation is analyzed using three-dimensional differential transform method. The accuracies of the established solutions are verified by …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 20–35 Read article
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Minimization Theorem and Fixed-Point Theorem in Probabilistic Metric Space
Abstract: This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper, the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces, Menger PM-spaces and probabilistic normed linear spaces (PN-space) are given, and the characterizations of various probabilistically bounded sets are presented. As applications, we utilize these results obtained in …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 36–41 Read article
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Using Six-Node Hexagonal Elements to Perform Free Vibration Analysis of Laminated Composite Conoidal, Elliptical Paraboloid, and Hyperbolic Paraboloid Shells
Abstract: Laminated composite structures are one of the recent developments in the field of engineering with high strength and better cost-to-weight ratio over the isotropic materials. The present study is mainly focused on the free vibration analysis of laminated composite shells using six-node hexagonal elements which is the first one of its kind. Three different shells, namely conoidal, elliptical paraboloid and hyperbolic paraboloid, have been analyzed with different support conditions, and …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 42–55 Read article