Higher-order numerical differentiation of experimental information - Cubic-spline and discrete-quadratic polynomials are described for numerically computing up through third-order derivatives. Concept is demonstrated by stress analyzing, from moiré and holographically recorded displacements, loaded plates and beams

R. E. Rowlands*, T. Liber, I. M. Daniel, P. G. Rose

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Cubic-spline and discrete-quadratic polynomial techniques are presented for reliably computing up to third-order derivatives of experimental information. The concept is demonstrated by stress analyzing from measured displacements a transversely loaded plate and a beam under four-point bending. The respective displacement fields were recorded using holography and moiré. The accuracy of the employed numerical-differentiation techniques is indicated.

Original languageEnglish (US)
Pages (from-to)105-112
Number of pages8
JournalExperimental Mechanics
Volume13
Issue number3
DOIs
StatePublished - Mar 1 1973

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

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