this paper presents a simplified approach to estimate the resultant force, which should be provided by a retention system, for the equilibrium of unstable slopes. the results were obtained with a developed algorithm, based on limit equilibrium analyses, that assumes a two-part wedge failure mechanism. design charts to obtain equivalent earth pressure coefficients are presented. based on the res...

in this article, vehicle cornering stability and brake stabilization via bifurcation analysis has been investigated. in order to extract the governing equations of motion, a nonlinear four-wheeled vehicle model with two degrees of freedom has been developed. using the continuation software package matcont a stability analysis based on phase plane analysis and bifurcation of equilibrium is perfo...

the relative stability of hydrogen-bonded of molybdate-phosphonic acid (mpa) complex (1:2) ingas phase has been carried out using density functional theory (dft) methods. the methods are usedfor calculations are b3lyp, bp86 and b3pw91 that have been studied in two series of basis sets: d95**and 6-31+g(d,p) for hydrogen and oxygen atoms; lanl2dz for mo and phosphorus. predictedhydrogen-bond geom...

A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of...

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Recently, several school districts in the US have adopted or consider adopting the Student-Optimal Stable mechanism or the Top Trading Cycles mechanism to assign children to public schools. There is evidence that for school districts that employ (variants of) the so-called Boston mechanism the transition would lead to efficiency gains. The first two mechanisms are strategy-proof, but in practic...