Bushes of normal modes - new dynamical objects in nonlinear mechanical systems with discrete symmetry

2001/11/25 by G. M. Chechin, George M. Chechin, Chechin, George M. +7
Engineering · Physics and Astronomy · #Bladed Disk Vibration Dynamics #Condensed Matter (cond-mat) #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Vibration and Dynamic Analysis #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0111476

LaTeX, 9 pages, to be published in Proceedings of XXIX Summer School "Advanced Problems in Mechanics" Russia, St.Petersburg (Repino), June 21-30, 2001

arxiv created 2001/11/25 · openalex publication_date 2001/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Bushes of normal modes represent exact mathematical objects describing specific dynamical regimes in nonlinear mechanical systems with point or space symmetry. In the present paper, we outline the bush theory and illustrate it with some bushes of small dimensions in octahedral mechanical structures.

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