论文信息 - Geometric stiffness matrix for space frames

Geometric stiffness matrix for space frames

Abstract A method of nonlinear analysis for three-dimensional frames based on a Taylor series approach to the equations of equilibrium is described. A nonsymmetric geometric structural stiffness is derived for the case of large rotations but small rotational strain. Its lack of symmetry is argued from the fact that finite rotations are not commutative under addition. Three examples are included.

William R. Spillers | W. Spillers

[1] Alexander Chajes,et al. Nonlinear Frame Analysis by Finite Element Methods , 1987 .

[2] B. Noble. Applied Linear Algebra , 1969 .

[3] J. W. Humberston. Classical mechanics , 1980, Nature.

[4] D. W. Scharpf,et al. On the geometrical stiffness of a beam in space—a consistent V.W. approach , 1979 .

[5] D. W. Scharpf,et al. On large displacement-small strain analysis of structures with rotational degrees of freedom , 1978 .

[6] N. Laws,et al. Large deformations, superposed small deformations and stability of elastic rods , 1968 .

[7] Yeong-Bin Yang,et al. Joint Rotation and Geometric Nonlinear Analysis , 1986 .

[8] C. Oran. Tangent Stiffness in Plane Frames , 1973 .

[9] K. Bathe,et al. Large displacement analysis of three‐dimensional beam structures , 1979 .

[10] Yeong-Bin Yang,et al. Stiffness Matrix for Geometric Nonlinear Analysis , 1986 .