A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Nonlinear transient analysis via energy minimization
Nonlinear transient analysis of structures has been of increasing interest to engineers by virtue of their interest in minimizing human and property damage resulting from the catastropic failure of such structures under crash or seismic conditions. Complexities of the structural configuration and its equally complex transient response in the presence of material inelasticity make finite element modeling of such structures a very natural and plausible recourse. For solution two distinct approaches exist: The vector approach and the scalar approach. In the former, a mathematical model is derived on the basis of the principle of virtual work and reduces to a system of nonlinear secondorder differential equations in time. In the latter approach, a potential function associated with the energy of the model is introduced, minimization of which yields the desired equilibrium configuration. In both approaches a temporal finite-difference scheme is utilized to effectively eliminate time as a variable. In the scalar approach the problem is then reduced to a well known problem im mathematical programming; namely, the unconstrained minimization of a nonlinear function of several variables. (Stoehr)
Nonlinear transient analysis via energy minimization
Nonlinear transient analysis of structures has been of increasing interest to engineers by virtue of their interest in minimizing human and property damage resulting from the catastropic failure of such structures under crash or seismic conditions. Complexities of the structural configuration and its equally complex transient response in the presence of material inelasticity make finite element modeling of such structures a very natural and plausible recourse. For solution two distinct approaches exist: The vector approach and the scalar approach. In the former, a mathematical model is derived on the basis of the principle of virtual work and reduces to a system of nonlinear secondorder differential equations in time. In the latter approach, a potential function associated with the energy of the model is introduced, minimization of which yields the desired equilibrium configuration. In both approaches a temporal finite-difference scheme is utilized to effectively eliminate time as a variable. In the scalar approach the problem is then reduced to a well known problem im mathematical programming; namely, the unconstrained minimization of a nonlinear function of several variables. (Stoehr)
Nonlinear transient analysis via energy minimization
Nichtlineare transiente Festigkeitsanalysen von Bauwerken mit Hilfe der Energieminimierung
Kamat, M.P. (author) / Knight, N.F.jr (author)
AIAA Journal ; 17 ; 968-969
1979
2 Seiten, 3 Bilder, 5 Quellen
Article (Journal)
English
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