NEHRP Clearinghouse
- Title
- Beam Element for Seismic Damage Analysis.
- File
- PB95192126.pdf
- Author(s)
- Spacone, E.; Ciampi, V.; Filippou, F. C.
- Source
- National Science Foundation, Arlington, VA., August 1992, 134 p.
- Identifying Number(s)
- UCB/EERC-92/07
- Abstract
- The study proposes a beam finite element model with distributed inelasticity and two nonlinear end rotational springs for the nonlinear dynamic analysis of frame structures under earthquake excitations. The beam element is based on the assumption that deformations are small and shear deformation are neglected. The axial behavior is assumed to be linear elastic and is uncoupled from flexural behavior. The element is derived with the mixed method of finite element theory. The force distribution within the element is based on interpolation functions that satisfy equilibrium. The relation between element forces and corresponding deformations is derived from the weighted integral of the constitutive force-deformation relation. While the element can also be derived with the virtual force principle, the mixed method approach has the advantge of pointing the way to the consistent numerical implementation of the element state determination. The constitutive force-deformation relation of the control sections of the beam and of the end rotational springs has the form of a differential relation that is derived by extending the simple standard solid model according to the endochronic theory.
- Keywords
- ; Structural engineering; Finite element method; Deformation; Structural vibration; Beams (Structural); Numerical integration; Earthquake damage; Dynamic response; Earthquake engineering; Stiffness; Structural response; Nonlinear systems; Structural components; Structural analysis