The purpose of this research was to evaluate the nonlinear dynamic response of rigid and semi-rigid steel frames under Far-Fault Earthquake Records. Accordingly, the fragility curve of the moment frames with rigid and semi-rigid connections was determined. Considering the analytical knowledge of structures in the past, the analysis and design of steel frames based on the assumptions of rigid or...

Soliton density wave is investigated numerically and analytically in the optimal velocity model (a car-following model) of a one-dimensional traffic flow with open boundaries. Soliton density wave is distinguished from the kink density wave. It is shown that the soliton density wave appears only at the threshold of occurrence of traffic jams. The Korteweg-de Vries (KdV) equation is derived from...

Conjectures for analytical expressions for correlations in the dense O(1) loop model on semi-infinite square lattices are given. We have obtained these results for four types of boundary conditions. Periodic and reflecting boundary conditions have been considered before. We give many new conjectures for these two cases and review some of the existing results. We also consider boundaries on whic...

The formulation of consistent boundary conditions for the quasi-geostrophic (QG) model with an extended Kalman lter in a data assimilation scheme is discussed. To form a well-posed boundary value problem for the QG model, the stream function must be speciied at all boundaries and the vorticity must be speciied at the innow boundaries. The situation becomes signiicantly more complicated when pro...

Conjectures for analytical expressions for correlations in the dense O(1) loop model on semi infinite square lattices are given. We have obtained these results for four types of boundary conditions. Periodic and reflecting boundary conditions have been considered before. We give many new conjectures for these two cases and review some of the existing results. We also consider boundaries on whic...

The alternating integrable spin chain and the RSOS(q1, q2; p) model in the presence of a quantum impurity are investigated. The boundary free energy due to the impurity is derived, the ratios of the corresponding g functions at low and high temperature are specified and their relevance to boundary flows in unitary minimal and generalized coset models is discussed. Finally, the alternating spin ...

Let Ω be an open connected subset of R and letΘ be an immersion from Ω into R. It is first established that the set formed by all rigid displacements, i.e., that preserve the metric, of the open set Θ(Ω) is a submanifold of dimension 6 and of class C∞ of the space H(Ω). It is then shown that the vector space formed by all the infinitesimal rigid displacements of the same set Θ(Ω) is nothing but...