Comparison of methods for free-vibration analysis of large cyclic symmetric problems
TL;DR: In this paper, the free-vibration problems associated with cyclic symmetric structures with generalized loading are discussed and three distinct approaches to solve the problem are explained, and their variations are compared with respect to core and time required.
Abstract: The solution techniques to the free-vibration problems associated with cyclic symmetric structures with generalized loading are discussed. Three distinct approaches to solve the problem are explained. The three approaches and their variations are compared with respect to core and time required. Guidelines are given for designers to select suitable methods, keeping in mind industrial problems, the core available in a PC and ease of organization of the program.
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TL;DR: In this paper, a rotationally periodic structure consisting of a finite number of identical sub-structures forming a closed ring is considered, and all the modes can be found from matrix analyses of a single sub-structure.
61 citations
TL;DR: In this paper, a family of variable thickness, curved C (0) Mindlin-Reissner axisymmetric finite elements is presented which include shear deformation and rotatory inertia effects.
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TL;DR: In this article, a finite element analysis was performed to assess the vibration response of a cyclic symmetric rotating turbopump impeller to a periodic time domain triangular pressure pulse loading.
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TL;DR: In this article, a subspace iteration scheme for the Hermitian eigenvalue problem arising from analysis of cyclic symmetric structures is presented, which operates in the semi-complex domain and its computational efficiency is demonstrated.
Abstract: A subspace iteration scheme for the Hermitian eigenvalue problem arising from analysis of cyclic symmetric structures is presented. This operates in the semi-complex domain and its computational efficiency is demonstrated. A modified convergence checking criterion which gives better error estimates, and a new trial vector selection scheme which accelerates convergence for the Hermitian eigenvalue problem based on the Ritz method, are presented.
9 citations