Stability and Large Deformation of 2-D Laminate Circular Thin Curved Beams

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In this research, both un-deformed or Lagrangian state and deformed or Eulerian state are used to derive for stability analysis and large deformation. By choosing the deformed radius of curvature and deformed angle of tangent slope as parameters, the governing equations of laminated curved beam under static loading are transformed into a set of equations in terms of angle of tangent slope. All the quantities of axial force, shear force, radial and tangential displacements of circular thin curved beam are expressed as functions of angle of tangent slope by using laminate theory. The buckling load and large deformation analytical solutions of circular thin curved beam under a pair of forces are presented as well.

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5146-5150

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Markus, T. Nanasi, Vibration of curved beam, Shock Vibration Digest 13 (4) (1981) 3-14.

DOI: 10.1177/058310248101300403

Google Scholar

[2] P. Chidamparam, A.W. Leissa, Vibrations of Planar Curved Beams, Rings, and Arches, Applied Mechanics Reviews 46 (9) (1993) 467-483.

DOI: 10.1115/1.3120374

Google Scholar

[3] A.E. Green, P.M. Naghdi, M.L. Wenner, On the theory of rods I. Derivations from the three-dimensional equations, Proc. Roy. Soc. Lond. A. 337 (1974) 451-483.

DOI: 10.1098/rspa.1974.0061

Google Scholar

[4] A.E. Green, P.M. Naghdi, M.L. Wenner, On the theory of rods II. Developments by direct approach, Proc. Roy. Soc. Lond. A. 337 (1974) 485-507.

Google Scholar

[5] P.M. Naghdi, Finite deformation of elastic rods and shells, Proc. Iutam Symp. On Finite Elasticity, Leihigh Univ. Aug. (1980) 47-103.

DOI: 10.1007/978-94-009-7538-5_4

Google Scholar

[6] R. Goncalves, M. Ritto-Correa, D. Camotim, A large displacement and finite rotation thin-walled beam formulation including cross-section deformation, Comput. Methods Appl. Mech. Engng. 199 (2010) 1627-1643.

DOI: 10.1016/j.cma.2010.01.006

Google Scholar

[7] B.P. Patel, M. Ganapathi, D.P. Makhecha, P. Shah, Large amplitude free flexural vibration of rings using finite element approach, Int. J. Non-linear Mech. 37 (2003) 911-921.

DOI: 10.1016/s0020-7462(02)00037-9

Google Scholar

[8] S.P. Machado, Geometrically non-linear approximations on the stability and free vibration of composite beam, Engineering Struct. 29 (2007) 3567-3578.

DOI: 10.1016/j.engstruct.2007.08.009

Google Scholar

[9] C.W. Lin, Finite Deformation of 2-D Thin circular curved beams, Hsiuping Journal 19 (2009), 203-216.

Google Scholar