Journal ArticleDOI
Standard forms of the eigenvalue problems associated with gyroscopic systems
TLDR
In this article, the eigenvalue problem arising in the free vibration and stability analysis of gyroscopic systems is associated with a λ-matrix in which λ as well as its square appears.About:
This article is published in Journal of Sound and Vibration.The article was published on 1976-03-08. It has received 26 citations till now. The article focuses on the topics: Eigenvalue perturbation & Inverse iteration.read more
Citations
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Journal ArticleDOI
On the Eigenvalues and Critical Speed Stability of Gyroscopic Continua
TL;DR: In this paper, a perturbation analysis is presented to determine approximate eigenvalue loci and stability conclusions in the vicinity of critical speeds and zero speed for general continuous gyroscopic systems.
Journal ArticleDOI
On the Stability of Linear Conservative Gyroscopic Systems
TL;DR: In this article, a simple criterion concerning the stability of linear gyroscopic conservative systems is developed, based on a transformation converting the original autonomous system into a non-autonomous system, and applying Liapunov's direct method to the latter.
Journal ArticleDOI
Gyro-elastic beams for the vibration reduction of long flexural systems.
TL;DR: A design of an earthquake protection system using a chiral multi-structure incorporating gyro-elastic beams is offered here, as an interesting application of vibration isolation.
Journal ArticleDOI
Spatial Discretization of Axially Moving Media Vibration Problems
Rajesh K. Jha,Robert G. Parker +1 more
TL;DR: Spatial discretization of axially moving media eigenvalue problems is examined from the perspectives of moving versus stationary system basis functions, configuration space versus state space form discretizations, and subcritical versus supercritical speed conver-.
Journal ArticleDOI
On the free vibration analysis of spinning structures by using discrete or distributed mass models
W.H. Wittrick,Fred W. Williams +1 more
TL;DR: In this paper, it is shown that if the analysis is performed by using a discrete model with N degrees of freedom, the leading principal minors of the N th order dynamic stiffness matrix exhibit a type of Sturm sequence property, which can be used for the systematic calculation of the natural frequencies of either a discrete system which is assembled from substructures, or an assembly of distributed mass members.
References
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Book
Principles of structural stability
TL;DR: In this paper, Nongyroscopic Conservative Systems, Dissipative Systems, Circulatory Systems, 6 Instationary Systems, and Dissipation Systems are described. But none of them are discussed in detail.