Vibration Suppression in a Simple Tension-Aligned Array Structure

Cai, Tingli; Mukherjee, Ranjan; Diaz, Alfredo Peña

doi:10.2514/1.j052127

Cited by 2 publications

(1 citation statement)

References 21 publications

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“…The mentioned studies mainly focus on the vibrating characteristics of a single elastic string. The experimental and computational researches of networks and space antennas most focus on the cases of linear vibration [12,13] and linear design [14,15], while the complex nonlinear behavior of the multistring networks is still an open issue. However, few theoretical works on the multistring networks were found in the literature.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis on the Nonlinear Free Vibration of a Tri-Cross String

Pan¹,

Tang²,

Tarumi³

et al. 2017

Shock and Vibration

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Here we present a theoretical analysis on the nonlinear free vibration of a tri-cross string system, which is an element of space net-antennas. We derived the governing equations from Hamilton's principle and obtained a linearized solution by the standard perturbation method. The semi-analytical solutions of the governing equations have not been provided referring to the solution of plate vibrating problem. This analysis revealed that natural frequencies of the tri-cross string depend on the vibration amplitude due to the geometrical nonlinearity in the constitutive equation. The geometric parameters, such as the diameters and the lengths of the constituent strings, also affect the frequency through the nonlinearity of the tri-cross string. The nonlinear natural frequency shows coupled characteristic; that is, the natural frequency of the tri-cross string varies with that of the constituent strings, but the contribution of each constituent string to the natural frequency is in different proportions.

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