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Mechanics Based Design of Structures and Machines
An International Journal
Volume 44, 2016 - Issue 3
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Original Articles

Adomian-modified decomposition method for large-amplitude vibration analysis of stepped beams with elastic boundary conditions

Nuttawit WattanasakulpongDepartment of Mechanical Engineering, Mahanakorn University of Technology, Bangkok, ThailandCorrespondence[email protected]
&
Arisara ChaikittiratanaDepartment of Mechanical and Aerospace Engineering, Research Centre for Advanced Computational and Experimental Mechanics (RACE), King Mongkut's University of Technology North Bangkok, Bangkok, Thailand
Pages 270-282 | Received 15 Mar 2014, Accepted 25 May 2015, Published online: 22 Mar 2016

Citations (13)

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Read on this site (3)

Dong-Liang Sun & Xian-Fang Li. (2019) Initial value method for free vibration of axially loaded functionally graded Timoshenko beams with nonuniform cross section. Mechanics Based Design of Structures and Machines 47:1, pages 102-120.
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Mustafa Özgür Yayli. (2018) Buckling analysis of Euler columns embedded in an elastic medium with general elastic boundary conditions. Mechanics Based Design of Structures and Machines 46:1, pages 110-122.
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Ismail M. Abdelrazik, Hesham A. Elkaranshawy & Amr M. Abdelrazek. (2017) Modified Parker-Sochacki method for solving nonlinear oscillators. Mechanics Based Design of Structures and Machines 45:2, pages 239-252.
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Articles from other publishers (10)

I.El Hantati, A. Adri, Y.El Khouddar, H. Fakhreddine, O. Outassafte & R. Benamar. (2023) Large amplitude forced vibrations of multi-stepped beams carrying concentric masses. Mechanics Research Communications 132, pages 104163.
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Lei Li & Siqi An. (2023) Analytical solution and free vibration analysis for beams with step changes in stiffness. Multidiscipline Modeling in Materials and Structures.
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Brandon S. Sargent, Collin R. Ynchausti, Todd G. Nelson & Larry L. Howell. (2022) The Mixed-Body Model: A Method for Predicting Large Deflections in Stepped Cantilever Beams. Journal of Mechanisms and Robotics 14:4.
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Issam El Hantati, Ahmed Adri, Hatim Fakhreddine, Said Rifai & Rhali Benamar. (2021) A Multimode Approach to Geometrically Nonlinear Free and Forced Vibrations of Multistepped Beams. Shock and Vibration 2021, pages 1-18.
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Zhen Zhang, Hu Ding, Ye-Wei Zhang & Li-Qun Chen. (2021) Vibration suppression of an elastic beam with boundary inerter-enhanced nonlinear energy sinks. Acta Mechanica Sinica 37:3, pages 387-401.
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Wenxiang Teng, Zhencai Zhu, Gongbo Zhou, Guohua Cao & Hao Lu. (2018) Refined Beam Elements for the Free Vibration Analysis of Stepped Shafts With and Without Transition Area. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 44:1, pages 35-46.
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Hu Ding, Ze-Qi Lu & Li-Qun Chen. (2019) Nonlinear isolation of transverse vibration of pre-pressure beams. Journal of Sound and Vibration 442, pages 738-751.
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TA El-Sayed & SH Farghaly. (2017) Frequency equation using new set of fundamental solutions with application on the free vibration of Timoshenko beams with intermediate rigid or elastic span. Journal of Vibration and Control 24:20, pages 4764-4780.
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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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Hu Ding, Min-Hui Zhu & Li-Qun Chen. (2018) Nonlinear vibration isolation of a viscoelastic beam. Nonlinear Dynamics 92:2, pages 325-349.
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