论文信息 - BEAM STIFFNESS MATRIX BASED ON THE ELASTICITY EQUATIONS

BEAM STIFFNESS MATRIX BASED ON THE ELASTICITY EQUATIONS

A new general beam stiffness matrix which accounts for bending, torsion and shear deformation is derived from an elasticity solution of the beam. The influence of shear and torsion is considered using a 3×3 matrix of deformation coefficients. Numerical examples are presented to demonstrate the behaviour of the deformation coefficients and of the beam stiffness matrix. © 1997 by John Wiley & Sons, Ltd.

[1] K. Surana. Isoparametric elemetns for cross‐sepctional properties and stress analysis of beams , 1979 .

[2] A. Boresi,et al. Elasticity in engineering mechanics , 1974 .

[3] I. Babuska,et al. Finite Element Analysis , 2021 .

[4] J. B. Kosmatka,et al. Flexure-torsion behavior of prismatic beams. I - Section properties via power series , 1993 .

[5] S. Timoshenko. History of strength of materials , 1953 .

[6] J. S. Przemieniecki. Theory of matrix structural analysis , 1985 .

[7] G. Cowper. The Shear Coefficient in Timoshenko’s Beam Theory , 1966 .

[8] K. Bathe. Finite Element Procedures , 1995 .

[9] Giuseppe Andrea Ferro,et al. Shear deformability of thin‐walled beams with arbitrary cross sections , 1992 .

[10] Walter D. Pilkey,et al. New structural matrices for a beam element with shear deformation , 1995 .

[11] A. Love. A treatise on the mathematical theory of elasticity , 1892 .

[12] Eric Reissner. Some considerations on the problem of torsion and flexure of prismatical beams , 1979 .

[13] Walter D. Pilkey,et al. On the shear deformation coefficient in beam theory , 1994 .