AN INTERPOLATION CURVE USING A SPLINE IN TENSION

Abstract

The use of a linearized mathematical spline for interpolation between given points occasionally yields extraneous inflection points which for some applications, notably the fairing of ship lines, are not acceptable. To avoid this difficulty, a spline in tension is considered and the value of tension which is sufficient to remove all the extraneous inflection points is determined. The slopes of the interpolating curve at each of the given stations are considered as the unknowns and can be calculated without the necessity of numerical matrix inversion.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0620888

Entities

People

  • Daniel G. Schweikert

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axial Loads
  • Boundaries
  • Continuity
  • Curvature
  • Deflection
  • Discontinuities
  • Engineering
  • Equations
  • Experimental Data
  • Inequalities
  • Interpolation
  • Intervals
  • Materials
  • Mathematical Analysis
  • Mathematical Models
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design