An Extended Kantorovich Method Used for Static Solution of an Arbitrarily Edge Supported Sandwich Cylindrical Shell Panel
Ramesh Chandra Mohapatra1, Shranish Kar2, Poonam Kumari3
1Dr. Ramesh Chandra Mohapatra, Mechanical Engineering Department, Government College of Engineering, Keonjhar, Orissa, India.
2Shranish Kar, Mechanical Engineering Department, Indian Institute of Technology Guwahati -781039, Assam, India.
3Poonam Kumari, Mechanical Engineering Department, Indian Institute of Technology Guwahati -781039, Assam, India.
Manuscript received on July 30, 2019. | Revised Manuscript received on August 25, 2019. | Manuscript published on August 30, 2019. | PP: 4184-4193 | Volume-8 Issue-6, August 2019. | Retrieval Number: F8785088619/2019©BEIESP | DOI: 10.35940/ijeat.F8785.088619
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Exact solution of complex problems like composite shells with arbitrarily supported boundary conditions through analytical three-dimensional (3-D) approach is mathematically challenging. In the present work an analytical 3-D elasticity solution for the static bending problem of a laminated composite cylindrical shell panel having any arbitrary boundary conditions is proposed. The governing Partial Differential Equations (PDE) problems are obtained by the application of the Ressiner-type mixed variational principle in cylindrical coordinate system. The extended Kantrovich method [10] is applied to solve these equations by reducing them to Ordinary Differential Equations (ODE). Further, the set of ODEs corresponding to the radial component & the circumferential components are solved utilizing modified power series method & Pagano’s approach respectively. Through numerical studies of sandwich shell panels it is shown that this method accurately predicts the deflections, stresses, boundary effects and interfacial disruptions being generated of laminate scheme, material property variations and configuration of the shell panel. Crucially, this is achieved with just two or three terms and few iterations, hence attributes faster computation as compared to other numerical techniques.
Keywords: Modified power series method, Pagano’s approach, Boundary effects, Extended Kantorovich method, Sandwich shells.