The Experts below are selected from a list of 126 Experts worldwide ranked by ideXlab platform
R. D. Tuminaro - One of the best experts on this subject based on the ideXlab platform.
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Predicted Curvature of a Glass Fiber from the Measured Curvature of its Coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:Our study is aimed at the evaluation of the relationship between the measured (or imposed) constant curvature of the coating of an optical glass fiber and the Elastic Curve of the fiber itself. We show that the buffering effect of the coating is different for different points along the Curved area and depends on the length of this area and the compliance of the coating. In the case of a very short Curved area and/or a very compliant coating, the curvature of the glass fiber is smaller than the curvature of the coating throughout the Curved area and increases with an increase in the length of this area and coating stiffness. In the case of a long-Curved area and/or a stiff enough coating, both curvatures are practically the same for almost the entire inner portion of the Curved area. Only when approaching the ends of this area the ratio of the curvature of the glass fiber to the coating curvature somewhat increases (by a factor of 1.043) and then rapidly drops to zero at the ends. There are, however, some “intermediate” unfavorable combinations of the lengths of the Curved area and coating compliances that result in curvature ratios exceeding, up by a factor of 1.086, the coating curvature even in the midportion of the Curved area. We show that such a paradoxical situation is due to the redistribution of the interfacial radial load at certain combinations of the lengths of the Curved areas and spring constant of the coating. For a current AT & T dual-coated fiber design with a 30-μm-thick silicone primary coating, the curvature ratio is greater than unity when the lengths of the Curved area fall within the range between 1.84 and 4.27 mm, and reaches the 1.086 value when the length of this area is about 2.44 mm. In addition, we show that the angular change in the path of the fiber-coating composite (which is easier to measure than its outer curvature) is a useful parameter for computing a lower bound to fiber bending radius. © 1991 IEEE
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Predicted curvature of a glass fiber from the measured curvature of its coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:An analytical stress model is developed to evaluate the Elastic Curve of a glass fiber whose coating has a constant (measured or imposed) bend radius. It is shown that in order to predict the bending behavior of a coated glass fiber subjected to bending a parameter u should be computed which depends, in addition to Young's modulus and diameter of the glass fiber itself, also on the length of the Curved area and Young's modulus and outer diameter of the (primary) coating. In the range 0
Ephraim Suhir - One of the best experts on this subject based on the ideXlab platform.
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Predicted Curvature of a Glass Fiber from the Measured Curvature of its Coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:Our study is aimed at the evaluation of the relationship between the measured (or imposed) constant curvature of the coating of an optical glass fiber and the Elastic Curve of the fiber itself. We show that the buffering effect of the coating is different for different points along the Curved area and depends on the length of this area and the compliance of the coating. In the case of a very short Curved area and/or a very compliant coating, the curvature of the glass fiber is smaller than the curvature of the coating throughout the Curved area and increases with an increase in the length of this area and coating stiffness. In the case of a long-Curved area and/or a stiff enough coating, both curvatures are practically the same for almost the entire inner portion of the Curved area. Only when approaching the ends of this area the ratio of the curvature of the glass fiber to the coating curvature somewhat increases (by a factor of 1.043) and then rapidly drops to zero at the ends. There are, however, some “intermediate” unfavorable combinations of the lengths of the Curved area and coating compliances that result in curvature ratios exceeding, up by a factor of 1.086, the coating curvature even in the midportion of the Curved area. We show that such a paradoxical situation is due to the redistribution of the interfacial radial load at certain combinations of the lengths of the Curved areas and spring constant of the coating. For a current AT & T dual-coated fiber design with a 30-μm-thick silicone primary coating, the curvature ratio is greater than unity when the lengths of the Curved area fall within the range between 1.84 and 4.27 mm, and reaches the 1.086 value when the length of this area is about 2.44 mm. In addition, we show that the angular change in the path of the fiber-coating composite (which is easier to measure than its outer curvature) is a useful parameter for computing a lower bound to fiber bending radius. © 1991 IEEE
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Predicted curvature of a glass fiber from the measured curvature of its coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:An analytical stress model is developed to evaluate the Elastic Curve of a glass fiber whose coating has a constant (measured or imposed) bend radius. It is shown that in order to predict the bending behavior of a coated glass fiber subjected to bending a parameter u should be computed which depends, in addition to Young's modulus and diameter of the glass fiber itself, also on the length of the Curved area and Young's modulus and outer diameter of the (primary) coating. In the range 0
Gregory M. Bubel - One of the best experts on this subject based on the ideXlab platform.
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Predicted Curvature of a Glass Fiber from the Measured Curvature of its Coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:Our study is aimed at the evaluation of the relationship between the measured (or imposed) constant curvature of the coating of an optical glass fiber and the Elastic Curve of the fiber itself. We show that the buffering effect of the coating is different for different points along the Curved area and depends on the length of this area and the compliance of the coating. In the case of a very short Curved area and/or a very compliant coating, the curvature of the glass fiber is smaller than the curvature of the coating throughout the Curved area and increases with an increase in the length of this area and coating stiffness. In the case of a long-Curved area and/or a stiff enough coating, both curvatures are practically the same for almost the entire inner portion of the Curved area. Only when approaching the ends of this area the ratio of the curvature of the glass fiber to the coating curvature somewhat increases (by a factor of 1.043) and then rapidly drops to zero at the ends. There are, however, some “intermediate” unfavorable combinations of the lengths of the Curved area and coating compliances that result in curvature ratios exceeding, up by a factor of 1.086, the coating curvature even in the midportion of the Curved area. We show that such a paradoxical situation is due to the redistribution of the interfacial radial load at certain combinations of the lengths of the Curved areas and spring constant of the coating. For a current AT & T dual-coated fiber design with a 30-μm-thick silicone primary coating, the curvature ratio is greater than unity when the lengths of the Curved area fall within the range between 1.84 and 4.27 mm, and reaches the 1.086 value when the length of this area is about 2.44 mm. In addition, we show that the angular change in the path of the fiber-coating composite (which is easier to measure than its outer curvature) is a useful parameter for computing a lower bound to fiber bending radius. © 1991 IEEE
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Predicted curvature of a glass fiber from the measured curvature of its coating
Journal of Lightwave Technology, 1991Co-Authors: Ephraim Suhir, Gregory M. Bubel, R. D. TuminaroAbstract:An analytical stress model is developed to evaluate the Elastic Curve of a glass fiber whose coating has a constant (measured or imposed) bend radius. It is shown that in order to predict the bending behavior of a coated glass fiber subjected to bending a parameter u should be computed which depends, in addition to Young's modulus and diameter of the glass fiber itself, also on the length of the Curved area and Young's modulus and outer diameter of the (primary) coating. In the range 0
Rufat Badal - One of the best experts on this subject based on the ideXlab platform.
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Curve shortening flow of open Elastic Curves in mathbb r 2 with repelling endpoints a minimizing movement approach
arXiv: Analysis of PDEs, 2019Co-Authors: Rufat BadalAbstract:We study an $L^{2}$-type gradient flow of an immersed Elastic Curve in $\mathbb{R}^{2}$ whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.
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Curve-shortening flow of open, Elastic Curves in $\mathbb{R}^2$ with repelling endpoints: A minimizing movement approach.
arXiv: Analysis of PDEs, 2019Co-Authors: Rufat BadalAbstract:We study an $L^{2}$-type gradient flow of an immersed Elastic Curve in $\mathbb{R}^{2}$ whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.
Ayse Altin - One of the best experts on this subject based on the ideXlab platform.
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the classical bernoulli euler Elastic Curve in a manifold
Facta Universitatis Series: Mathematics and Informatics, 2019Co-Authors: Ayse AltinAbstract:In this study, we describe the classical Bernoulli-Euler Elastic Curve in a manifold by the property that the velocity vector field of the Curve is harmonic. Then, a condition is obtained for the Elastic Curve in a manifold. Finally, we give an example which provides the condition mentioned in this paper and illustrate it with a figure.
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A new characterization for classical Bernoulli–Euler Elastic Curves in Rn
International Journal of Geometric Methods in Modern Physics, 2019Co-Authors: Ayse AltinAbstract:In this paper, we show that the velocity vector field of classical Bernoulli–Euler Elastic Curve is harmonic in Rn space. We propose a new characterization for classical Bernoulli–Euler Elastic cur...
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A new characterization for classical Bernoulli–Euler Elastic Curves in Rn
International Journal of Geometric Methods in Modern Physics, 2019Co-Authors: Ayse AltinAbstract:In this paper, we show that the velocity vector field of classical Bernoulli–Euler Elastic Curve is harmonic in [Formula: see text] space. We propose a new characterization for classical Bernoulli–Euler Elastic Curves and plot graphs of examples that satisfy this characterization.