Combined analytical and numerical approaches in Dynamic Stability analyses of engineering system

0440953 - ÚTAM 2015 RIV GB eng J - Journal Article
Náprstek, Jiří
Combined analytical and numerical approaches in Dynamic Stability analyses of engineering system.
Journal of Sound and Vibration. Roč. 338, March (2015), s. 2-41. ISSN 0022-460X. E-ISSN 1095-8568
R&D Projects: GA ČR(CZ) GC13-34405J
Institutional support: RVO:68378297
Keywords : strongly nonlinear oscillators * moment Lyapunov exponents * predator-prey system * differential-equations
Subject RIV: JM - Building Engineering
Impact factor: 2.107, year: 2015
http://www.sciencedirect.com/science/article/pii/S0022460X14005355

Dynamic Stability is a widely studied area that has attracted many researchers from various disciplines. Although Dynamic Stability is usually associated with mechanics, theoretical physics or other natural and technical disciplines, it is also relevant to social, economic and philosophical areas of our lives. Therefore, it is useful to occasionally highlight the general aspects of this amazing area, to present some relevant examples and to evaluate its position among the various branches of Rational Mechanics. From this perspective, the aim of this study is to present a brief review concerning the Dynamic Stability problem, its basic definitions and principles, important phenomena, research motivations and applications in engineering. The relationships with relevant systems that are prone to stability loss (encountered in other areas such as physics, other natural sciences and engineering) are also noted.
Permanent Link: http://hdl.handle.net/11104/0244046