Parametric Optimization of S-type Cables

We formulated an S-curve parameterization for re-routing a cable path for a given offset displacement. In our approach we assume the cable path to follow a tangent hyperbolic curve. In our formulation, after taking the geometric constraints into account, two free parameters exist. The objective of o...

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Bibliographic Details
Main Author: Babaee, Hessam
Format: Technical Report
Language:en_US
Published: Massachusetts Institute of Technology. Sea Grant College Program 2015
Online Access:http://hdl.handle.net/1721.1/96979
Description
Summary:We formulated an S-curve parameterization for re-routing a cable path for a given offset displacement. In our approach we assume the cable path to follow a tangent hyperbolic curve. In our formulation, after taking the geometric constraints into account, two free parameters exist. The objective of our design is to maximize the curvature radius. We performed a full search in the two-dimensional design space to find the curvature radius for all possible design configurations. The two-dimensional distribution of curvature radius versus the design parameters is shown in a contour plot that can be readily used for design purposes.