Bio: V. Omprakash is an academic researcher from Indian Institute of Technology Madras. The author has contributed to research in topics: Six degrees of freedom & Stiffness matrix. The author has an hindex of 2, co-authored 2 publications receiving 29 citations.
TL;DR: In this article, a detailed qualitative study of the coupled free vibration characteristics of rotating turbomachinery bladed disk systems having useful ranges of geometric parameters was carried out by using a three noded triangular shell element having six degrees of freedom per node together with the cyclic symmetric nature of the problem.
TL;DR: In this paper, a combined classical Rayleigh-Ritz and cyclic symmetry method is described for the free vibration analysis of rotating turbo-machinery bladed disk systems, and the first few lowest natural frequencies can be predicted accurately by taking only one repeatable substructure of the system.
TL;DR: The aim is to collect the most relevant results of the existing theory in a single paper, couch the mathematics in a form that is accessible to the vibrations analyst, and provide examples to highlight key concepts.
Abstract: This paper provides a tutorial and summary of the theory of circulant matrices and their application to the modeling and analysis of the free and forced vibration of mechanical structures with cyclic symmetry. Our presentation of the basic theory is distilled from the classic book of Davis (1979, Circulant Matrices, 2nd ed., Wiley, New York) with results, proofs, and examples geared specifically to vibration applications. Our aim is to collect the most relevant results of the existing theory in a single paper, couch the mathematics in a form that is accessible to the vibrations analyst, and provide examples to highlight key concepts. A nonexhaustive survey of the relevant literature is also included, which can be used for further examples and to point the reader to important extensions, applications, and generalizations of the theory. [DOI: 10.1115/1.4027722]
TL;DR: In this article, an analytical approach is developed to calculate the free vibration characteristics and damping effect of a blisk with NiCrAlY coating on the blades, based on the constitutive model of complex modulus and Rayleigh-Ritz method.
TL;DR: In this paper, the authors investigated the influence of shaft bending rigidity, disk transverse rigidity and rotational speed on natural frequencies and mode shapes of flexible shaft-disk-blades coupling system.
TL;DR: In this article, the influence on coupling vibrations among shaft-torsion and blade-bending coupling vibrations of a multi-disk rotor system was investigated analytically for one-to three-disk cases as examples.