Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping

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Malookani Rajab A.; Dehraj Sanaullah; Sandilo Sajad H.

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Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2019 | Volume:5 | Issue:5 Page(s): 918-925

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Title

Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping

Author(s)

Malookani Rajab A. | Dehraj Sanaullah | Sandilo Sajad H. | Issue Writer Certificate

Keywords

Axially moving string

Boundary damping

Two time-scale perturbation

Characteristic coordinates

Abstract

Transversal vibrations of an Axially moving string under Boundary damping are investigated. Mathematically, it represents a homogenous linear partial differential equation subject to nonhomogeneous boundary conditions. The string is moving with a relatively (low) constant speed, which is considered to be positive. The string is kept fixed at the first end, while the other end is tied with the spring-dashpot system. The asymptotic approximations for the solution of the equations are obtained by application of Two time-scale perturbation technique and the Characteristic coordinates method. The vertical displacement of the moving system under Boundary damping is computed by using specific initial conditions. It is shown that how the introduced damping at the boundary may affect the vertical displacement of the axially moving system.

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APA: Copy

Malookani, Rajab A., Dehraj, Sanaullah, & Sandilo, Sajad H.. (2019). Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 5(5), 918-925. SID. https://sid.ir/paper/353304/en

Vancouver: Copy

Malookani Rajab A., Dehraj Sanaullah, Sandilo Sajad H.. Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2019;5(5):918-925. Available from: https://sid.ir/paper/353304/en

IEEE: Copy

Rajab A. Malookani, Sanaullah Dehraj, and Sajad H. Sandilo, “Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 5, no. 5, pp. 918–925, 2019, [Online]. Available: https://sid.ir/paper/353304/en

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