Northampton Electronic Collection of Theses and Research

Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams

Su, H. and Banerjee, R. (2015) Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams. Computers & Structures. 147, p. 107. 0045-7949.

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Su_Huijuan_ELS_2015_Development_of_dynamic_stiffness_method_for_free_vibration_of_functionally_graded_Timo ... (982kB)

Item Type:	Article
Abstract:	The free vibration of functionally graded Timoshenko beams is investigated by developing the dynamic stiffness method. Material properties of the beam are assumed to vary continuously in the thickness direction. The governing differential equations of motion are solved and expressions for axial force, shear force and bending moment are derived. The dynamic stiffness matrix is then formulated by relating the amplitudes of forces and displacements at the ends of the beam. The Wittrick–Williams algorithm is used as solution technique to yield the natural frequencies and mode shapes of some illustrative examples. The results are discussed and some conclusions are drawn.
Creators:	Su, Huijuan and Banerjee, Ranjan
Faculties, Divisions and Institutes:	Faculties > Faculty of Arts, Science & Technology > Engineering
Date:	15 January 2015
Date Type:	Publication
Page Range:	p. 107
Journal or Publication Title:	Computers & Structures
Volume:	147
Number of Pages:	116
Language:	English
DOI:	https://doi.org/10.1016/j.compstruc.2014.10.001
ISSN:	0045-7949
Status:	Published / Disseminated
Refereed:	Yes
Related URLs:	https://pure.northampton.ac.uk/en/public...
URI:	http://nectar.northampton.ac.uk/id/eprint/12907

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