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Mathematical Modelling and Analysis Volume 15, 2010 - Issue 3
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Original Articles

Analysis of Tilt‐Buckling of Euler Columns with Varying Flexural Stiffness Using Homotopy Perturbation Method

S.B. Coşkun Faculty of Engineering, Department of Civil Engineering, Kocaeli University, Umuttepe Campus, Kocaeli, 41380, Turkey E-mail: [email protected]
Pages 275-286 | Received 02 Jun 2009, Published online: 09 Jun 2011

Citations (18)

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Anh Tay Nguyen, Nguyen Cao Thang, Tran Tuan Long, N. D. Anh, P. M. Thang & Nguyen Xuan Thanh. (2023) A novel weighted local averaging for the Galerkin method with application to elastic buckling of Euler column. International Journal for Computational Methods in Engineering Science and Mechanics 24:2, pages 128-142.
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Zenonas Navickas, Minvydas Ragulskis & Liepa Bikulčienė. (2011) Special Solutions of Huxley Differential Equation. Mathematical Modelling and Analysis 16:2, pages 248-259.
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Hu Ling, Dejian Meng, Lijun Zhang & Birui Li. (2023) An investigation of initial topography on thermoelastic behavior of brake disc under thermal load. Mechanical Systems and Signal Processing 200, pages 110521.
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Isaac Elishakoff, Jonathan Padilla, Youkendy Mera & J. N. Reddy. (2021) Seventh-Order Polynomial Constituting the Exact Buckling Mode of a Functionally Graded Column. AIAA Journal 59:11, pages 4318-4325.
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Christian Hafner & Bernd Bickel. (2021) The design space of plane elastic curves. ACM Transactions on Graphics 40:4, pages 1-20.
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Vebil YILDIRIM. (2021) Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix. International Journal of Engineering and Applied Sciences 13:1, pages 17-35.
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Ramzy M. Abumandour, Fathi A. Abdelmgeed & Adel M. Elrefaey. (2020) Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method. Mathematical Problems in Engineering 2020, pages 1-14.
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Mohammad Shishesaz, Mojtaba Shariati, Amin Yaghootian & Ali Alizadeh. (2019) Nonlinear Vibration Analysis of Nano-Disks Based on Nonlocal Elasticity Theory Using Homotopy Perturbation Method. International Journal of Applied Mechanics 11:02, pages 1950011.
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Yu. S. Krutii. (2018) Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters. Journal of Mathematical Sciences 231:5, pages 665-677.
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Ahmet Yucesoy, Safa Bozkurt Coskun & Mehmet Tarık Atay. Twist-bend instability of a cantilever beam subjected to an end load via homotopy perturbation method. Twist-bend instability of a cantilever beam subjected to an end load via homotopy perturbation method.
Sevda Memiş, Zeynep Özcan & Safa Bozkurt Coşkun. Analysis of flexural-torsional buckling of rectangular beams via Ritz and power series methods. Analysis of flexural-torsional buckling of rectangular beams via Ritz and power series methods.
Musa Başbük, Aytekin Eryılmaz & M. Tarık Atay. (2014) On Critical Buckling Loads of Columns under End Load Dependent on Direction. International Scholarly Research Notices 2014, pages 1-6.
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Aytekin Eryılmaz, M. Tarık Atay, Safa B. Coşkun & Musa Başbük. (2013) Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method. Journal of Applied Mathematics 2013, pages 1-8.
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Seval Pinarbasi. (2012) Buckling analysis of nonuniform columns with elastic end restraints. Journal of Mechanics of Materials and Structures 7:5, pages 485-507.
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Seval Pinarbasi. (2012) Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method. Mathematical Problems in Engineering 2012, pages 1-18.
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Yong Huang & Qi-Zhi Luo. (2011) A simple method to determine the critical buckling loads for axially inhomogeneous beams with elastic restraint. Computers & Mathematics with Applications 61:9, pages 2510-2517.
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Baki Ozturk & Safa Bozkurt Coskun. (2011) The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation. Structural Engineering and Mechanics 37:4, pages 415-425.
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F. Okay, M.T. Atay & S.B. Coşkun. (2010) Determination of Buckling Loads and Mode Shapes of a Heavy Vertical Column under its own Weight Using the Variational Iteration Method. International Journal of Nonlinear Sciences and Numerical Simulation 11:10.
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