Northampton Electronic Collection of Theses and Research

A dynamic stiffness element for free vibration analysis of composite beams and its application to aircraft wings

Banerjee, J. R., Su, H. and Jayatunga, C. (2008) A dynamic stiffness element for free vibration analysis of composite beams and its application to aircraft wings. Computers & Structures. 86(6), pp. 573-579. 0045-7949.

Item Type: Article
Abstract: The dynamic stiffness matrix of a composite beam that exhibits both geometric and material coupling between bending and torsional motions is developed and subsequently used to investigate its free vibration characteristics. The formulation is based on Hamilton’s principle leading to the governing differential equations of motion in free vibration, which are solved in closed analytical form for harmonic oscillation. By applying the boundary conditions the frequency dependent dynamic stiffness matrix that relates the amplitudes of loads to those of responses is then derived. Finally the Wittrick–Williams algorithm is applied to the resulting dynamic stiffness matrix to compute the natural frequencies and mode shapes of an illustrative example. The results are discussed and some conclusions are drawn. The theory can be applied for modal analysis of high aspect ratio composite wings and can be further extended to aeroelastic studies
Uncontrolled Keywords: Dynamic stiffness method; Free vibration; Composite beams; Geometrical and material coupling; Wittrick–Williams algorithm
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics. Aeronautical engineering
T Technology > TA Engineering (General). Civil engineering (General) > TA349 Mechanics of engineering. Applied mechanics > TA355 Vibration
Creators: Banerjee, J R, Su, Huijuan and Jayatunga, C
Publisher: Elsevier
Faculties, Divisions and Institutes: University Faculties, Divisions and Research Centres - OLD > School of Applied Sciences (to 2009) > Engineering (to 2009)
Faculties > Faculty of Arts, Science & Technology > Engineering
Date: March 2008
Date Type: Publication
Page Range: pp. 573-579
Journal or Publication Title: Computers & Structures
Volume: 86
Number: 6
Language: English
ISSN: 0045-7949
Status: Published / Disseminated
Refereed: Yes

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