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Logarithmic Spiral Bevel Gear Tooth Contact Inspection
Applied Mechanics and Materials, 2010Introduction of spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment logarithmic spiral bevel gear contact area of the location, shape and size of the result.
Qiang Li +3 more
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A certain feature of logarithmic spirals
Journal of Mathematical Sciences, 2011A curve formed by inversion of a logarithmic spiral is called a double logarithmic spiral. The curves in this family possess the following property: there always exists such a spiral with continuous and monotone curvature satisfying any possible boundary conditions (endpoints, tangents, and curvatures).
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Original Research on Logarithmic Spiral Bevel Gear
Applied Mechanics and Materials, 2011In this article, logarithmic spiral curve is successfully applied to bevel gear transmission and used as dentiform line of helicoid bevel gear. Put forward a novel logarithmic spiral bevel gear drive. Because spiral angle on each point of logarithmic spiral curve is constant, the problem of variational spiral angle is solved faultlessly.
Hong Bo Yan +3 more
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Fractals, logarithmic spiral and coherent states
AIP Conference Proceedings, 2012Self-similarity properties of fractal structures and logarithmic spiral are related to quantum dissipative dynamics, squeezed coherent states and noncommutative geometry in the plane.
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Turbulent Wall Jets on Logarithmic Spiral Surfaces
Aeronautical Quarterly, 1966SummaryBy considering the equations of motion it has been shown that the flow in the outer part of a two-dimensional, curved, turbulent wall jet is approximately self-preserving if the ratio of jet thickness to wall radius of curvature is constant along the jet. This condition is satisfied for a jet blowing over a surface of logarithmic spiral profile,
J. A. Giles, A. P. Hays, R. A. Sawyer
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Logarithmic Spirals and Computer Art
1989Interesting geometric patterns are obtained by mapping a rectangular region in one coordinate system onto an annular region in another coordinate system. The mapping involves logarithmic spirals and several examples are presented which involve interlocking spirals, cubes and dragon patterns.
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Circular and Logarithmic Spiral Slip Surfaces
Journal of the Soil Mechanics and Foundations Division, 1969A method of analysis of embankment stability is described which applies equally to slip surfaces having a cross section either in the form of a circular arc or a logarithmic spiral arc. The method is applied to the solution of a number of stability problems in which the slope of the embankment and the soil properties vary over a wide range.
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Approximating Logarithmic Spirals by Quarter Circles
2021The approximation of a golden logarithmic spiral by quarter circles is well known. Starting from this, we show that any logarithmic spiral can be approximated by quarter circles in a similar way. Using our construction on a rectangle with aspect ratio √휙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our
Reitebuch, Ulrich (author) +2 more
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Silver Ink Printed Logarithmic Spiral Antenna
2022 45th International Spring Seminar on Electronics Technology (ISSE), 2022Robert Langwieser +5 more
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