Variational basis of nonlinear flexibility methods for structural analysis of frames

Journal of Engineering Mechanics

Volumn 131, Issue 11, 2005, Pages 1157-1169

  Hjelmstad, K D ^a   Taciroglu, E ^b  

^a United States of America   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Beams; Finite elements; Frames; Structural analysis

Indexed keywords

ALGORITHMS; BEAMS AND GIRDERS; CYCLIC LOADS; FINITE ELEMENT METHOD; INTEGRATION; INTERPOLATION; KINEMATICS; MATHEMATICAL MODELS; STIFFNESS; STRUCTURAL FRAMES; VARIATIONAL TECHNIQUES;

BERNOULLI-EULER BEAM THEORY; CONSTITUTIVE NONLINEARITIES; NONLINEAR FLEXIBILITY METHODS;

STRUCTURAL ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 27644548950     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2005)131:11(1157)     Document Type: Article

References (8)

1. Ciampi, V., and Carlesimo, L. (1986). "A nonlinear beam element for seismic analysis of structures." Proc. 8th Eur. Conf. on Earthquake Engineering, Laboratorio Nacional de Engenharia Civil, Lisbon, Portugal.
2. Hjelmstad, K. D., and Taciroglu, E. (2002). "Mixed methods and flexibility approaches to Bernoulli-Euler beam finite elements." J. Constr. Steel Res., 58, 967-993.
3. Hjelmstad, K. D., and Taciroglu, E. (2003). "Mixed variational methods for finite element analysis of geometrically nonlinear, inelastic Bernoulli-Euler beams." Commun. Numer. Methods Eng., 19, 809-832.
4. Neuenhofer, A., and Filippou, F. C. (1997). "Evaluation of nonlinear frame finite-element models." J. Struct. Eng., 123(7), 958-966.
5. Neuenhofer, A., and Filippou, F. C. (1998). "Geometrically nonlinear flexibility-based frame finite element." J. Struct. Eng., 124(6), 704-711.
6. Petrangeli, M., and Ciampi, V. (1997). "Equilibrium based iterative solutions for the non-linear beam problem." Int. J. Numer. Methods Eng., 40, 423-437.
7. Spacone, E., Ciampi, V., and Filippou, F. C. (1996a). "Mixed formulation of nonlinear beam finite element." Comput. Struct., 58, 71-83.
8. Spacone, E., Filippou, F. C., and Taucer, F. F. (1996b). "Fibre beam-column model for nonlinear analysis of R/C frames: Formulation." Earthquake Eng. Struct. Dyn., 25, 711-725.