Journal ArticleDOI
Stable periodic motions of an impact-pair
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In this article, the asymptotically stable motion of two rigid masses separated by a clearance is formulated most generally when the masses collide periodically, and a technique is proposed for determining a clearance's dimensions in situ which could provide a basis for detecting progressive wear in mechanisms like gear trains.About:Â
This article is published in Journal of Sound and Vibration.The article was published on 1983-03-08. It has received 66 citations till now. The article focuses on the topics: Stability theory & Stability (probability).read more
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Journal ArticleDOI
Survey of nonlinear vibration of gear transmission systems
Journal ArticleDOI
A theory for non-smooth dynamic systems on the connectable domains
TL;DR: In this article, a local theory of non-smooth dynamical systems on connectable and accessible sub-domains is developed, and the properties for separation boundaries based on the characteristics of flows are determined, and sliding dynamics on a specified separation boundary is introduced.
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Super- and sub-harmonic response calculations for a torsional system with clearance nonlinearity using the harmonic balance method
TL;DR: In this paper, a multi-term harmonic balance method (HBM) was proposed for nonlinear frequency response calculations of a torsional sub-system containing a clearance type nonlinearity.
Journal ArticleDOI
Non-linear frequency response characteristics of an impact pair
R.J. Comparin,Rajendra Singh +1 more
TL;DR: In this article, the authors used harmonic balance to develop approximate analytical solutions to the equations of motion of a single impact pair including a general discussion of the existence and stability of these solutions Nonlinear frequency response characteristics are obtained for a single frequency excitation and primary resonance (no subharmonic or superharmonic response) and the results are validated using an analog computer simulation.
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Decoupling the linear and nonlinear parts in Hammerstein model identification
TL;DR: In this article, the linear part of a Hammerstein model is decoupled from the nonlinear part in model identification, and the identification of the linear parts becomes a linear problem and accordingly enjoys the same convergence and consistency results as if the unknown nonlinearity is absent.
References
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Book
The algebraic eigenvalue problem
TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.
Book
Solving least squares problems
TL;DR: Since the lm function provides a lot of features it is rather complicated so it is going to instead use the function lsfit as a model, which computes only the coefficient estimates and the residuals.
Journal ArticleDOI
Coefficient of Restitution Interpreted as Damping in Vibroimpact
K. H. Hunt,F. R. E. Crossley +1 more
TL;DR: In this paper, the Kelvin-Voigt model is shown to be logically untenable, for it indicates that the bodies must exert tension on one another just before separating, and it denotes that the damping energy loss is proportional to the square of the impacting velocity, instead of to its cube.
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Dynamic Analysis of Mechanical Systems With Clearances—Part 1: Formation of Dynamic Model
TL;DR: A mathematical model of an elastic mechanical joint with clearances has been formulated and the dynamical equations of motion derived (Part I). The model, which we have called an Impact Pair, is basic to the determination of the dynamic response of mechanical and electromechanical systems as mentioned in this paper, including determination of dynamic force amplification, frequency response, time displacement characteristics, and other dynamic characteristics.