Non-linear Oscillations of Mechanical Systems with Structure Damping Vibration Protection Devices

Lazutkin, G. V.; Davydov, D. P.; Varzhitskiy, L.A.; Boyarov, K. V.; Волкова, Т. В.

doi:10.1016/j.proeng.2017.02.330

Cited by 4 publications

(3 citation statements)

References 4 publications

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“…Dynamic systems that manifest oscillations or vibrations departing from linearity are referred to as nonlinear oscillating systems.These systems are commonly characterized by nonlinear differential equations, capturing intricate and at times unpredictable dynamics. These kinds of nonlinear oscillatory systems are found in many different scientific and engineering fields, including mechanics 1 , electromagnetic phenomena 2 , fluid dynamics 3 , biology 4 – 7 , chemistry 8 , and other fields 9 , including particle physics and cosmology 10 . These systems describe several applications of nonlinear oscillating dynamics.…”

Section: Introductionmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.

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Section: Introductionmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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“…Excessive and inevitable vibration and noise deriving from running of vehicles and machinery would not only damage their own working life but also do harm to our human beings' health . To deal with these rigorous problems, researchers have been tried to do a bunch of different approaches like system damping, material damping, and structure damping . Among all of them, it is material damping that is one of the most effective methods and has been a research hotspot all the time .…”

Section: Introductionmentioning

confidence: 99%

Damping, thermal, and mechanical performances of a novel semi‐interpenetrating polymer networks based on polyimide/epoxy

Yang

et al. 2019

J of Applied Polymer Sci

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In this article, a series of novel semi-interpenetrating polymer networks (s-IPNs) based on linear polyimide (PI) and crosslinked epoxy (EP) were firstly prepared aiming at controlling violent vibration and noise originating from operation of the machine. The damping, thermal, and mechanical performances of s-IPNs films were systematically investigated in terms of the structure of polyimide (the molar ratios of diamines) and the component ratios of PI/EP. The results indicate that PI/EP s-IPNs films exhibit prominent damping properties, and the effective damping temperature range can reach up to 58.8 C when molar ratio of diamines is 1:3 within PI and component ratio of PI/EP is 70:30. Meanwhile, all the PI/EP s-IPNs films show good thermal stability compared to cured EP and certain mechanical behaviors due to the formation of semi-interpenetrated structure. Meaningfully, the prepared novel PI/EP s-IPNs will be used as effective damping materials and have a potential application in damping fields.

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“…MR material ("metal rubber") is manufactured by cold pressure of chaotically placed wire spiral made of stainless steel [1,2]. It has large strength, large energy dissipation coefficient.…”

Section: Introductionmentioning

confidence: 99%

Wearing of MR Wire Vibration Insulation Material Under Random Load

Уланов

Bezborodov

2018

Proceedings of the 4th International Conference on Industrial Engineering

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Vibration insulators and elastic-damping supports made of MR (metal rubber) wire material are widely used. The wearing of this material under random load is researched. The material is considered as anisotropic continuous media. A middle stress in the material is taken as a load parameter. Changing of resonance frequency and vibration transfer coefficient at resonance during lifetime is researched as dependencies on middle stress and density of material. The equations describing these dependencies are obtained. Three types of wearing are described as dependencies on load and MR material parameters. The wire microphotographies after wearing are obtained. The mass lost during wearing as the dependency on stress and density of material is researched.

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Non-linear Oscillations of Mechanical Systems with Structure Damping Vibration Protection Devices

Cited by 4 publications

References 4 publications

Critical analysis for nonlinear oscillations by least square HPM

Critical analysis for nonlinear oscillations by least square HPM

Damping, thermal, and mechanical performances of a novel semi‐interpenetrating polymer networks based on polyimide/epoxy

Wearing of MR Wire Vibration Insulation Material Under Random Load

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