On the stability and instability criteria for circulatory systems: A review

Author:

Bulatovic Ranislav1

Affiliation:

1. Faculty of Mechanical Engineering, University of Montenegro, Podgorica, Montenegro

Abstract

A survey of the selected published criteria ? expressed by the properties of the system matrices ? for the stability and instability of linear mechanical systems subjected to potential and circulatory forces is presented. In particular, recent generalizations of the well-known Merkin instability theorem are reported. Several simple numerical examples are used to illustrate the usefulness of the presented criteria and also to compare them.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Flutter instability in solids and structures, with a view on biomechanics and metamaterials;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-11

2. Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces;Journal of Applied Mechanics;2022-09-27

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