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Journal of Marine Science and Engineering, 2023 In this study formal derivation of mode coupling equations in underwater acoustics is revisited. This derivation is based on the method of multiple scales from which modal expansion of the field emerges, and the vectorized WKBJ equation for the ...
Mikhail Trofimov +3 more
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He’s multiple scales method for nonlinear vibrations
Journal of Low Frequency Noise, Vibration and Active Control, 2019 He’s multiple scales method is a couple of the homotopy perturbation method and the multiple scales technology in the classic perturbation method. This method has been proved to be a powerful mathematical tool to various nonlinear equations, and it is ...
Zhong-Fu Ren, Shao-Wen Yao, Ji-Huan He
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Sensors, 2023 This study aims to enhance conventional vibration energy harvesting systems (VEHs) by repositioning the piezoelectric patch (PZT) in the middle of a fixed–fixed elastic steel sheet instead of the root, as is commonly the case.
Yi-Ren Wang, Chun-Hsiao Kuo
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Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines
Zhongguo dianli, 2021 The galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic.
Guangyun MIN +3 more
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Multi-frequency piezomagnetoelastic energy harvesting in the monostable mode [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2018 The present article investigates effects of the multi-frequency excitation on the output power of a piezomagnetoelastic energy harvester. The piezomagnetoelastic power generator is assumed to operate in the mono-stable mode.
Amin Yousefpour +2 more
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Application of the method of multiple scales for nonlinear vibration analysis of mechanical systems with dry and lubricated clearance joints [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2017 In this study, the method of multiple scales is used to perform a nonlinear vibration analysis of a mechanical system in two cases; with dry and lubricated clearance joints.
Saeed Ebrahimi +2 more
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IEEE Access, 2022 Nonlinear dynamic of a flexible slender truss-structure mounted manipulator for on-orbit assembly, which can be simplified as a beam–rotating link interaction system, is theoretically investigated.
Xiaobin Tang +3 more
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Analytical solution of nonlinear rolling motion of ship using the method of multiple scales [PDF]
مجله مدل سازی در مهندسی, 2017 In this research, the nonlinear rolling motion of ships is studied. After obtaining the governing equation of roll motion, the method of multiple scales perturbation technique is applied to solve the nonlinear differential equation.
Mohammad Mahdi Jalili +2 more
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A Modified Couple Stress-Based Model for the Nonlinear Vibrational Analysis of Nano-Disks Using Multiple Scales Method [PDF]
Journal of Applied and Computational Mechanics, 2022 In this article, the nonlinear vibrational behavior of a nano-disk was analyzed using the multiple scales method (MSM). The modified couple stress theory was used to consider the small-scale effect via the application of nonlocal parameter.
Ali Alizadeh +3 more
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Method of multiple scales with three time scales [PDF]
PAMM, 2007 AbstractSome confusion appears in the literature regarding the extension of the method of multiple scales to three or more time scales. While the work of Murdock and Wang [1] correctly indicates some obstructions to such an extension in some types of problems, other work suggests that the extension should almost never be possible [2]. These pessimistic
Peter Kramer +3 more
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