A revisit of spinning disk models. Part II: linear transverse vibrations
Natalie Baddour,Jean W. Zu +1 more
TLDR
In this paper, two recently derived linear models for the transverse vibrations of a spinning plate are considered, one based on the assumption of linear (Kirchhoff) strains and the other based on non-linear (von Karman) strains.About:
This article is published in Applied Mathematical Modelling.The article was published on 2001-07-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Rotary inertia & Transverse plane.read more
Citations
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Journal ArticleDOI
In- and Out-of-plane Vibrations of a Rotating Plate with Frictional Contact: Investigations on Squeal Phenomena
TL;DR: In this paper, the coupling of disk and plate vibrations of a rotating annular Kirchhoff plate in the presence of a distributed frictional loading on its surface was investigated and the boundary value problem was derived from the basics of the theory of elasticity using Kirchhof's assumptions.
Journal ArticleDOI
Free in-plane vibration analysis of rotating annular panels with elastic boundary restraints
TL;DR: In this article, an accurate solution for the in-plane vibration analysis of rotating circular panels with general edge restraints is established by solving the governing equations and boundary conditions simultaneously, simultaneously.
Journal ArticleDOI
Nonlinearly coupled in-plane and transverse vibrations of a spinning disk
Natalie Baddour,Jean W. Zu +1 more
TL;DR: In this article, the effect of including the in-plane inertia of the disk on the resulting nonlinear dynamics and to construct approximate solutions that capture the new dynamics was considered and a canonical perturbation approach was used to derive an approximate solution to this simpler nonlinear problem.
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Tracking control of chaotic spinning disks via nonlinear dynamic output feedback with input constraints
TL;DR: A new dynamic output feedback control algorithm is proposed to stabilize the unstable periodic orbit of chaotic spinning disks with incomplete state information based on the T-S fuzzy systems.
Journal ArticleDOI
Normal oscillatory modes of rotating orthotropic disks
TL;DR: In this paper, the governing equations of transverse vibrations for rotating cylindrically orthotropic disks and calculate their normal oscillatory modes are presented, and the authors reveal some notable features of mode shapes in isotropic and orthotropic rotating disks and discuss on their eigenfrequency spectra.
References
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Book
Theory of sound
TL;DR: In this article, the Laplace's functions of T, F, V are simultaneously reducible to sums of squares, where T is the length of a string, F is the degree of freedom of the string, and V is the size of the chord.
Journal ArticleDOI
The vibrations of a spinning disk
TL;DR: In this paper, the transverse vibrations of a circular disk of uniform thickness rotating about its axis with constant angular velocity were investigated and it was shown that the phenomenon is one of resonance between the periodic forces exerted by the steam jets and the periods of free vibration of the disk.
Related Papers (5)
A revisit of spinning disk models. Part I: derivation of equations of motion
Natalie Baddour,Jean W. Zu +1 more