Modal analysis of sailplane and transport aircraft wings using the dynamic stiffness method

5th Symposium on the Mechanics of Slender Structures

物理学;力学

Banerjee, J.R.^1

School of Mathematics, Computer Science and Engineering City University London, Northampton Square, London

EC1V 0HB, United Kingdom^1

关键词: Bending-torsion;    Dynamic stiffness;    Dynamic stiffness matrix;    Dynamic stiffness method;    Eigenvalue problem;    High aspect ratio;    Natural frequencies and modes;    Wittrick Williams algorithms;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/721/1/012005/pdf
DOI  :  10.1088/1742-6596/721/1/012005

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The purpose of this paper is to provide theory, results, discussion and conclusions arising from an in-depth investigation on the modal behaviour of high aspect ratio aircraft wings. The illustrative examples chosen are representative of sailplane and transport airliner wings. To achieve this objective, the dynamic stiffness method of modal analysis is used. The wing is represented by a series of dynamic stiffness elements of bending-torsion coupled beams which are assembled to form the overall dynamic stiffness matrix of the complete wing. With cantilever boundary condition applied at the root, the eigenvalue problem is formulated and finally solved with the help of the Wittrick-Williams algorithm to yield the eigenvalues and eigenmodes which are essentially the natural frequencies and mode shapes of the wing. Results for wings of two sailplanes and four transport aircraft are discussed and finally some conclusions are drawn.