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Original Articles

On the Linear and Nonlinear Vibration Responses of Elastically End Restrained Beams Using DTM

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Pages 135-150 | Received 16 Nov 2012, Accepted 17 Sep 2013, Published online: 11 Mar 2014

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Read on this site (8)

Fatemeh Sohani & H. R. Eipakchi. (2023) Nonlinear geometry effects investigation on free vibrations of beams using shear deformation theory. Mechanics Based Design of Structures and Machines 51:3, pages 1446-1467.
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Mohammadamin Forghani, Yousef Bazarganlari, Parham Zahedinejad & Mohammad Javad Kazemzadeh-Parsi. (2023) Nonlinear frequency analysis of porous Bi directional functionally graded beams utilizing reddy shear deformation theory. Heliyon 9:9, pages e19650.
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Wachirawit Songsuwan, Nuttawit Wattanasakulpong & Thuc P. Vo. (2022) Nonlinear vibration of third-order shear deformable FG-GPLRC beams under time-dependent forces: Gram–Schmidt–Ritz method. Thin-Walled Structures 176, pages 109343.
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J.W. Zhou, W. Zhang, X. Jiang & E.D. Zhai. (2022) Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method. Renewable Energy 188, pages 96-113.
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Fatemeh Sohani & Hamidreza Eipakchi. (2021) Linear and nonlinear vibrations of variable cross‐section beams using shear deformation theory. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:8.
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Dipesh K Nayak, Madhusmita Pradhan, Prabir K Jena & Pusparaj Dash. (2021) Analysis of parametric instability of a spring-attached pre-twisted beam with viscoelastic end support. Noise & Vibration Worldwide, pages 095745652110307.
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Wassim Jrad, Foudil Mohri, Guillaume Robin & El Mostafa Daya. (2020) Numerical and Experimental Analyses of Free and Forced Vibration of Thin-Walled Beams. International Journal of Structural Stability and Dynamics 21:02, pages 2150018.
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Mostafa Esmaeilzadeh & Mehran Kadkhodayan. (2019) Dynamic analysis of stiffened bi-directional functionally graded plates with porosities under a moving load by dynamic relaxation method with kinetic damping. Aerospace Science and Technology 93, pages 105333.
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Salman Ebrahiminejad, Javad Marzbanrad, Mahya Boreiry & Gholam Reza Shaghaghi. (2018) On the electro-thermo-mechanical vibration characteristics of elastically restrained functionally graded nanobeams using differential transformation method. Applied Physics A 124:12.
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Hu Ding, Earl H. Dowell & Li-Qun Chen. (2018) Transmissibility of Bending Vibration of an Elastic Beam. Journal of Vibration and Acoustics 140:3.
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Jingwei Zhou, Shurui Wen, Fengming Li & Yu Zhu. (2018) Coupled bending and torsional vibrations of non-uniform thin-walled beams by the transfer differential transform method and experiments. Thin-Walled Structures 127, pages 373-388.
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M Rezaiee-Pajand & Amir R Masoodi. (2016) Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections. Journal of Vibration and Control 24:9, pages 1787-1808.
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Javad Marzbanrad, Mahya Boreiry & Gholam Reza Shaghaghi. (2017) Surface effects on vibration analysis of elastically restrained piezoelectric nanobeams subjected to magneto-thermo-electrical field embedded in elastic medium. Applied Physics A 123:4.
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Misagh Zarepour & Seyed Amirhosein Hosseini. (2016) A Semi Analytical Method For Electro-Thermo-Mechanical Nonlinear Vibration Analysis of Nanobeam Resting On the Winkler-Pasternak Foundations With General Elastic Boundary Conditions. Smart Materials and Structures 25:8, pages 085005.
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Nuttawit Wattanasakulpong & Jarruwat Charoensuk. (2014) Vibration characteristics of stepped beams made of FGM using differential transformation method. Meccanica 50:4, pages 1089-1101.
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Alborz Mirzabeigy & Firooz Bakhtiari-Nejad. (2014) Semi-analytical approach for free vibration analysis of cracked beams resting on two-parameter elastic foundation with elastically restrained ends. Frontiers of Mechanical Engineering 9:2, pages 191-202.
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