Thermal Science 2024 Volume 28, Issue 3 Part A, Pages: 1983-1991
https://doi.org/10.2298/TSCI2403983S
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Solitary wave solution for the non-linear bending wave equation based on He’s variational method
Shang Chu-Han (Key Laboratory of Advanced Manufacturing and Automation Technology, Education Department of Guangxi Zhuang Autonomous Region, Guilin University of Technology, Guilin, China + College of Mechanical and Control Engineering, Guilin University of Technology, Guilin, China), [email protected], [email protected]
Yi Huai-An (Key Laboratory of Advanced Manufacturing and Automation Technology, Education Department of Guangxi Zhuang Autonomous Region, Guilin University of Technology, Guilin, China + College of Mechanical and Control Engineering, Guilin University of Technology, Guilin, China)
A beam vibration originating in the beam porous structure or on a non-smooth
boundary might make its vibrating energy concentrated on a single wave,
leading to a solitary wave. This paper applies the variational approach to
analysis of the soliton basic property, and the effect of the fractal
dimensions on the solitary wave is elucidated. This paper is to draw
attention the beam soliton property be-yond its widely known resonance and
periodic and chaotic properties.
Keywords: fractal traveling transformation, He’s fractal derivative, He’s variational method, the deflection vibration equation
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