Exact dynamic/static stiffness matrices of non-symmetric thin-walled beams considering coupled shear deformation effects

A finite-element procedure for the determination of buckling pressure of thin-walled cylindrical shells used in ocean structures is presented. The derivation of the elastic and geometric stiffness matrices is discussed in detail followed by a succinct description of the computer program developed by the authors during the course of this study for the determination of the buckling pressure. Particular attention is paid to the boundary conditions which strongly influence the buckling pressure. Applications involving the interstiffener buckling in submersible hulls and cylindrical shells with stepwise variation in wall thickness are considered and the results compared with the solutions and procedures available in the literature.

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An Efficient Finite Element For Restrained Torsion Of Thin-Walled Beams Including The Effect Of Warping And Shear Deformation

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/233/3/032029 ◽

2019 ◽

Vol 233 ◽

pp. 032029

Author(s):

Hongli Qi ◽

Zhaoqiang Wang ◽

Zhetong Zhang

Keyword(s):

Finite Element ◽

Shear Deformation ◽

Thin Walled

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The influence of shear deformation on the critical tangential follower force of a bar with thin-walled cross-section

Journal of Sound and Vibration ◽

10.1016/0022-460x(90)90605-y ◽

1990 ◽

Vol 138 (3) ◽

pp. 517-523 ◽

Cited By ~ 2

Author(s):

R. Uhrig

Keyword(s):

Shear Deformation ◽

Cross Section ◽

Follower Force ◽

Thin Walled

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Lateral buckling of thin-walled composite bisymmetric beams with prebuckling and shear deformation

Engineering Structures ◽

10.1016/j.engstruct.2005.02.018 ◽

2005 ◽

Vol 27 (8) ◽

pp. 1185-1196 ◽

Cited By ~ 47

Author(s):

Sebastián P. Machado ◽

Víctor H. Cortínez

Keyword(s):

Shear Deformation ◽

Lateral Buckling ◽

Thin Walled

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On a Finite Element Formulation of Dynamical Torsion of Beams Including Warping Inertia and Shear Deformation Due to Nonuniform Warping

Journal of Vibration and Acoustics ◽

10.1115/1.3269131 ◽

1983 ◽

Vol 105 (4) ◽

pp. 476-483

Author(s):

A. Potiron ◽

D. Gay

Keyword(s):

Finite Element ◽

Shear Deformation ◽

Cross Section ◽

Experimental Results ◽

Finite Element Formulation ◽

Element Formulation ◽

Secondary Effects ◽

Mass Matrices ◽

Warping Displacement ◽

Thin Walled

We start from the energetical expressions of dynamical torsion of beams in terms of angular and warping displacement and velocity. We derive the stiffness and two mass matrices including both secondary effects for torsion: the shear deformation due to nonuniform warping and the warping inertia. The suitability of these matrices for evaluation modified torsional frequencies is investigated in the case of thick, as well as thin-walled, cross section beams by comparison with analytical and experimental results.

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