Closed-form solutions for oscillators with inelastic impacts

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Cite
Pilipchuk, V.N. “Closed-Form Solutions for Oscillators With Inelastic Impacts”. Journal of Sound and Vibration, vol. 359, 2015, pp. 154-67, https://doi.org/10.1016/j.jsv.2015.08.023.
Pilipchuk, V. (2015). Closed-form solutions for oscillators with inelastic impacts. Journal of Sound and Vibration, 359, 154-167. https://doi.org/10.1016/j.jsv.2015.08.023
Pilipchuk V. Closed-form solutions for oscillators with inelastic impacts. Journal of Sound and Vibration. 2015;359:154-67.
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Refrences
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Induced Representations and Hypercomplex Numbers Advances in Applied Clifford Algebras
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On the Simulation of Discontinuous Functions

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Impact modes in discrete vibrating systems with bilateral barriers 2001
Non-smooth mechanical systems Journal of Applied Mathematics and Mechanics 2000
ANALYTICAL STUDY OF VIBRATING SYSTEMS WITH STRONG NON-LINEARITIES BY EMPLOYING SAW-TOOTH TIME TRANSFORMATIONS Journal of Sound and Vibration
  • Science: Physics: Acoustics. Sound
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
56 1996
Citations
Title Journal Journal Categories Citations Publication Date
Targeted energy transfer in a vibro-impact cubic NES: Description of regimes and optimal design Journal of Sound and Vibration
  • Science: Physics: Acoustics. Sound
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2 2023
Natural Response of Non-smooth Oscillators Using Homotopy Analysis Combined with Galerkin Projections Journal of Vibration Engineering & Technologies
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2022
Predictive design of impact absorbers for mitigating resonances of flexible structures using a semi-analytical approach Journal of Sound and Vibration
  • Science: Physics: Acoustics. Sound
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
8 2022
Dynamics of Nonlinear Oscillators with Discontinuous Nonlinearities Subjected to Harmonic and Stochastic Excitations Journal of The Institution of Engineers (India): Series C 2 2021
Relationship between the contact force strength and numerical inaccuracies in piecewise-smooth systems International Journal of Mechanical Sciences
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
8 2021
Citations Analysis
The category Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics 11 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Optimization mechanism of targeted energy transfer with vibro-impact energy sink under periodic and transient excitation and was published in 2016. The most recent citation comes from a 2023 study titled Targeted energy transfer in a vibro-impact cubic NES: Description of regimes and optimal design. This article reached its peak citation in 2022, with 2 citations. It has been cited in 5 different journals. Among related journals, the Journal of Sound and Vibration cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year