The modal characteristics of high aspect ratio sailplane wings including the effects of bending and torsional rigidities

Huijuan Su, Ranjan Banerjee

Research output: Contribution to journalArticle

Abstract

The modal behaviour of two high aspect ratio sailplane wings with cantilever
boundary conditions is investigated by applying the dynamic stiffness method and using the Wittrick-Williams algorithm as solution technique. The wing is idealised as an assembly ofbending-torsional coupled beams for which the frequency dependent dynamic stiffness matrix is established. A Fortran computer program is developed to obtain the natural frequencies and mode shapes of the wings. The bending and torsional rigidities of each wing are varied and their subsequent effects on the natural frequencies and mode shapes are examined. A detailed parametric study with the variations of bending and torsional rigidities shows some interesting results which can be of practical help to the industry when designing such wings. The illustrative examples chosen for the baseline wings prior to changing their rigidities are representative of existing sailplanes. The results are presented and discussed and the paper concludes with some remarks.
Original languageEnglish
Pages (from-to)1
Number of pages10
JournalJournal of Radiological Protection
DOIs
Publication statusPublished - 20 May 2018

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Rigidity
Aspect ratio
Natural frequencies
Stiffness matrix
Computer program listings
Stiffness
Industry

Cite this

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abstract = "The modal behaviour of two high aspect ratio sailplane wings with cantileverboundary conditions is investigated by applying the dynamic stiffness method and using the Wittrick-Williams algorithm as solution technique. The wing is idealised as an assembly ofbending-torsional coupled beams for which the frequency dependent dynamic stiffness matrix is established. A Fortran computer program is developed to obtain the natural frequencies and mode shapes of the wings. The bending and torsional rigidities of each wing are varied and their subsequent effects on the natural frequencies and mode shapes are examined. A detailed parametric study with the variations of bending and torsional rigidities shows some interesting results which can be of practical help to the industry when designing such wings. The illustrative examples chosen for the baseline wings prior to changing their rigidities are representative of existing sailplanes. The results are presented and discussed and the paper concludes with some remarks.",
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AB - The modal behaviour of two high aspect ratio sailplane wings with cantileverboundary conditions is investigated by applying the dynamic stiffness method and using the Wittrick-Williams algorithm as solution technique. The wing is idealised as an assembly ofbending-torsional coupled beams for which the frequency dependent dynamic stiffness matrix is established. A Fortran computer program is developed to obtain the natural frequencies and mode shapes of the wings. The bending and torsional rigidities of each wing are varied and their subsequent effects on the natural frequencies and mode shapes are examined. A detailed parametric study with the variations of bending and torsional rigidities shows some interesting results which can be of practical help to the industry when designing such wings. The illustrative examples chosen for the baseline wings prior to changing their rigidities are representative of existing sailplanes. The results are presented and discussed and the paper concludes with some remarks.

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