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 |
| DOI: | https://doi.org/10.1016/j.compstruc.2007.04.027 |
| ISSN: | 0045-7949 |
| Status: | Published / Disseminated |
| Refereed: | Yes |
| URI: | http://nectar.northampton.ac.uk/id/eprint/1887 |
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