Interpolation of Mode Shapes: A Matrix Scheme Using Two-Way Spline Curves
- 1 November 1965
- journal article
- research article
- Published by Cambridge University Press (CUP) in Aeronautical Quarterly
- Vol. 16 (4) , 333-349
- https://doi.org/10.1017/s0001925900003577
Abstract
Summary: A method of interpolating low aspect ratio lifting surface mode deflections for use in aeroelastic calculations is described. It is based on the spline curve, the numerical analogue of the draughtsman’s spline which is a thin flexible beam used for drawing a smooth curve through a set of given coordinate points. The present problem is one of surface fitting and a matrix scheme using two-way spline curves is adopted. The method of treating the case in which the data points are randomly placed, whilst retaining an exact fit at the points, is discussed, as are the results of a practical example.Keywords
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