Bends in the plane with variable curvature

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Date
2016-12
Authors
Sheehan, Robert N.
Peters, Frank H.
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Publisher
Irish Mathematical Society
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Abstract
Explicit formulae for planar variable curvature bends are constructed using Euler’s method of natural equations. The bend paths are expressed in terms of special functions. It is shown that the length of the different bend types varies linearly with increasing radius and that the curvature of variable curvature bends can be expressed as a multiple of the curvature of a circle.
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Keywords
Planar curves , Special Functions , Euler’s method
Citation
Sheehan, R. N. and Peters, F. H. (2016) 'Bends in the plane with variable curvature'. Bulletin of the Irish Mathematical Society, 78, pp. 61-80.
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URI
https://hdl.handle.net/10468/3502
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Physics - Journal Articles
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© 2016 Irish Mathematical Society