November 2019
Intermediate to advanced
291 pages
4h 21m
English
Content preview from Applied Calculus of Variations for Engineers, Third edition, 3rd Edition
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The geodesic concept, introduced in the last chapter purely on variational principles, has interesting engineering aspects. On the other hand, the analytic solution of a geodesic curve by finding the extremum of a variational problem may not be easy in practical cases.
The subject of this chapter is to provide a computational representation of various geometry objects also from a variational foundation. The technology of splines, natural and constrained, will be explored and extended to surfaces and even volumes. Their practical use will also be described.
It is reasonable to assume that the quality of a curve in a geodesic sense is related to its curvature. This observation proposes a strategy ...
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