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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Stability approach for periodic delay Mathieu equation by the He- multiple-scales method
Alexandria Engineering Journal, 2018 In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is constructed.
Yusry O. El-Dib
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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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Nonlinear Vibration of Rotating Laminated Composite Cross-ply Cylindrical Shell on Nonlinear Rotating Elastic Foundation [PDF]
Mechanics of Advanced Composite Structures, 2022 This paper is focused on the study of nonlinear vibration of rotating laminated composite cross-ply cylindrical shells on a nonlinear rotating elastic foundation. In this study, FSDT is employed while the geometrical nonlinearity of the cylindrical shell
Shahin Mohammadrezazadeh +1 more
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Nonlinear analysis of coupled transversal-longitudinal vibration in electrostatically actuated nanoresonators [PDF]
مجله مدل سازی در مهندسی, 2022 Nanoresonators can be used in some engineering fields such as high quality factor filters for electronic signals and sensors. So, the main purpose of this paper is to analyze the nonlinear dynamic behavior of electrostatically actuated nanoresonators. In
Reza Ebrahimi
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Study on Linear and Nonlinear Dynamically P-delta Effects on Frame Structures under earthquake spectra, harmonic and stochastic excitations [PDF]
Journal of Rehabilitation in Civil Engineering, 2021 In this paper the effect of axial load on dynamic behavior of a simple frame, subjected to harmonic, seismic and earthquake excitation is investigated. The equations of motion are considered for two types of small and large deformations.
Dana Afshar, Majid Amin Afshar
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Buildings, 2023 A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
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Approximate Solutions of Coupled Nonlinear Oscillations: Stability Analysis [PDF]
Journal of Applied and Computational Mechanics, 2021 The current article is concerned with a comprehensive investigation in achieving approximate solutions of coupled nonlinear oscillations with high nonlinearity. These equations are highly nonlinear second-order ordinary differential equations.
Galal M. Moatimid +2 more
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Response Analysis of Nonlinear Viscoelastic Energy Harvester with Bounded Noise Excitation
Machines, 2022 Energy harvesting has become a popular topic in recent years. A number of studies have been conducted in the field of vibration energy harvesting system (VEHS).
Yuanhui Zeng +3 more
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System identification of a beam with frictional contact [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2019 The nonlinear system becomes an area with numerous investigations over the past decades. The conventional modal analysis could not be applied on nonlinear continuous system which makes it impossible to construct the reduced order models and obtain ...
Majid Rajaei
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