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- Title
Nonclassical Periodic Functions: Their Calculation and Applications.
- Authors
Plakhtienko, M.
- Abstract
A system of continuous T-periodic functions, which express the values of Cartesian coordinates of a moving point as functions of the traveled distance, is constructed on a one-parametric family of closed flat constraints with four axes of symmetry. We discover 2π -periodic functions that differ from the classical trigonometric functions by the sign of curvature at every point of their existence. The asymptotic 2 -periodic functions are computed and applied to the problem of motion of a material point along a closed flat-ribbed surface and to the modeling of kinematic perturbations of the bearing platforms of solid bodies.
- Subjects
PERIODIC functions; NONCLASSICAL mathematical logic; TRIGONOMETRY; PERTURBATION theory; CARTESIAN coordinates
- Publication
Journal of Mathematical Sciences, 2016, Vol 212, Issue 2, p193
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-015-2659-z