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Selecting the appropriate inner radius of curvature of the molding lens, the upper surface of the formed lenticule can be of variable curvature.
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Such a universe is flat and Euclidean, whereas a universe that contains matter is inhomogeneous, anisotropic and of variable curvature.
In general relativity, which, though less firmly established than the special theory, is intended to explain gravitational phenomena, a more complicated metric of variable curvature is employed, which approximates to the Minkowski metric in empty space far from material bodies.
Different examples are considered of flat blades of variable curvature (such spiral-profiled blades in food cutting machinery, scythes, sickles, sabres, etc).
The equations governing free, in-plane vibrations of variable curvature arches are derived and solved numerically to obtain frequencies and mode shapes for parabolic, sinusoidal and elliptic geometries.
Majumdar and Bhushan [14] used the Weierstrass-Mandelbrot (WM) function to develop the first fractal contact model for real rough surfaces where the assumption of variable curvature radius was adopted.
The statics and dynamics of variable curvature continuum robot have been presented by the classical Cosserat rod model [10].
But Klein's conception is too narrow to embrace all Riemannian geometries, which include spaces of variable curvature.
It also uses an assumption of variable curvature radius.
The closed form general solutions of in-plane static laminated curved beams of variable curvatures are derived.
The geometry and the curvature of the laminated free-form curved beams are modeled by NURBS so that the gap between the analysis of the laminated curved beam with constant curvature and the analysis of that with variable curvature is bridged.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com