Fischer, Harold S. (1940) An application of matrix methods to wing theory. Master's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-11142008-094640
The calculation of spanwise lift distribution of a wing by a new method proposed by Theodore von Karman and W. R. Sears* depends on knowledge of certain "characteristic values" (eigenvalues) and "characteristic functions" (eigenfunctions) of the wing planform. These functions are solutions of a homogeneous boundary-value problem of the third kind.
In the present paper the eigenvalues and the eigenfunctions, in series form, are calculated for a class of planforms by the method of successive multiplication of matrices.
The class of planforms considered is that of trapezoidal wings with rounded tips. The eigenvalues and eigenfunctions are calculated for taper ratios 1:1, 2:1, 3:1, and 4:1; they are independent of aspect ratio. It is found, that for intermediate taper ratios they can be determined with reasonable accuracy by graphical interpolation.
* To be published shortly.
|Item Type:||Thesis (Master's thesis)|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1940|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||21 Nov 2008|
|Last Modified:||26 Dec 2012 03:09|
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