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Judul: | Simple Visualization Theory For Investigating The Mechanical Behavior Of A Novel Fiber |
Penulis: | Julian Lord Natasian & Hendry Izaac Elim (Elim Heaven) || email: info@mx.unpatti.ac.id |
Jurnal: | Prosiding FMIPA 2017 Vol. 1 no. 1 - hal. 101-116 Tahun 2017 [ Prosiding ] |
Keywords: | Coupled differential equations; Exact solution; Fiber; Frequency (ω); Sinusoidal waves |
Abstract: | In this paper, a simple theoretical and visualized explanation of a novel fiber with their mechanical behaviors have been derived to investigate a novel fabricated fibers made by the changing a natural garbage structure. By solving a simple string theory consisted of two to three coupled differential equations, the internal frequencies () and the fiber string constants (k) of two different fiber structures which have a uniform fiber structure and a not uniform fibers structure, respectively were obtained as follows: 1,2 = ? 7.312 Hz, for the value of k1 = k2 = k = 0.46 kg/s 2 and 1,2 = ? 12.657 Hz, for the values of k1 = 0.5 kg/s2, and k2 =0.426 kg/s2. While the ? and k of three different fiber structures in one fiber were found in the following values: ? 1,2 = ? 7.313 Hz, for k1 = 1.974 kg/s 2, k2 = 0.353 kg/s 2, and k3 = 0.989 kg/s 2, and ? 1,2 = 7.313 Hz, for the value of k 1 = k 2 = k3 = k = 0.69 kg/s 2, respectively. In addition, by incorporating a scientific mathematica 10.3 software, the visualizations from the coupled-two and coupled-three differential equations closely related to mechanical fiber behaviors produce the amplitude (A) ratio in those coupled equations. |
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