Single-frequency modes of a frictional autooscillatory system with two degrees of freedom taking into consideration imperfect elasticity of the material

Zhirnov, B. M.

doi:10.1007/bf01528599

Cited by 3 publications

(1 citation statement)

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“…where i 3 13 2, 4 1 3 x 0 3 k 3 3 0 and 4 2 3 4 . The parameters are m i is the mass of the ith oscillator, x i 1t2 is its position, V 0 is a constant velocity of the belt, k i is the stiffness coefficient of each connecting link, i describes the force of sliding friction and functions F j account for energy losses in the material (Zhirnov, 1977). An active area of research on bifurcation analysis of DDEs is being pursued in laser dynamics.…”

Section: Delay Equations: Retarded Advanced and Neutralmentioning

confidence: 99%

On the Use of Delay Equations in Engineering Applications

Kyrychko

Hogan

2010

Journal of Vibration and Control

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This paper is a review of applications of delay differential equations to different areas of engineering science. Starting with a general overview of delay models, we present some recent results on the use of retarded, advanced and neutral delay differential equations. An emerging area for modeling with the help of delay equations is real-time dynamic substructuring, or hybrid testing. We introduce the main idea of this technique together with the latest advances. Special emphasis is given to the development of the theory and applications of partial delay differential equations. The review concludes with a summary of some open problems and questions concerning the analysis of spatially extended delayed systems.

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Section: Delay Equations: Retarded Advanced and Neutralmentioning

confidence: 99%