Lateral-torsional dynamic instability of uniform and double-tapered rectangular beams under harmonic shear deformation
TL;DR: In this paper, the authors analyzed lateral-torsional dynamic instability of elastic beams with rectangular cross section having constant thickness, with the depth symmetric with respect to the midpoint and either uniform or tapered linearly in each half Free vibrations are also investigated.
About: This article is published in Engineering Structures.The article was published on 2017-09-01. It has received 1 citations till now. The article focuses on the topics: Beam (structure) & Instability.
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TL;DR: In this paper, a dynamical model of a fluid-conveying pipe spinning about an eccentric axis is presented, and coupled bi-flexural-torsional free vibration and stability is analyzed for such a doubly gyros.
Abstract: This paper presents a dynamical model of a fluid-conveying pipe spinning about an eccentric axis. The coupled bi-flexural–torsional free vibration and stability are analyzed for such a doubly gyros...
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1,098 citations
278 citations
Book•
30 Jun 1990
TL;DR: In this paper, the conservative single degree of freedom model and the non-conservative single degree-of-freedom model are used for single-degree of freedom (SDF) systems.
Abstract: Part 1 Linear vibrations in mechanical engineering: classification of vibration problems fundamentals of vibrating mechanical systems the conservative single degree of freedom model the non-conservative single degree of freedom model practical uses for single degree of freedom models transients and impulses in single degree of freedom systems systems with more than one degree of freedom continuous systems. Part 2 Parametric vibrations in linear vibrating systems: stability considerations some simple physical systems analysis of governing equations further investigations into parametric phenomena. Part 3 Non-linear vibrations in forced and parametrically excited systems large deflection non-linearities material and structural configuration non-linearities. Part 4 Non-linear vibrations in autoparametric systems: two mode interaction in a coupled beam system application to vibration absorption multi-modal autoparametric interactions. Part 5 Phase plane concepts and chaotic vibrations: an introduction to the phase plane a summary of fundamental phase plane concepts chaos in vibrating systems.
246 citations
Book•
01 Jan 2006
TL;DR: In this paper, the authors discuss the stability of structures under deterministic loadings and nonlinear systems under ergodic excitations, and moment stability of stochastic systems.
Abstract: 1. Introduction Part I. Dynamic Stability of Structures under Deterministic Loadings: 2. Linear differential equations with periodic coefficients 3. Approximate methods 4. Nonlinear systems under periodic excitations Part II. Dynamic Stability of Structures under Stochastic Loadings: 5. Random processes and stochastic differential equations 6. Almost-sure stability of systems under ergodic excitations 7. Moment stability of stochastic systems 8. Lyapunov exponents 9. Moment Lyapunov exponents Appendix A. Maple programs Bibliography.
126 citations