In the Maxwell interaction model the collision rate is independent of the relative velocity of the colliding pair and, as a consequence, the collisional moments are bilinear combinations of velocity moments of the same or lower order. In general, however, the drift term of the Boltzmann equation couples moments of a given order to moments of a higher order, thus preventing the solvability of th...

For a discrete distribution in Rd on a finite support D probabilities and moments are algebraically related. If there are n = |D| support points then there are n probabilities p(x), x ∈ D and n basic moments. By suitable interpolation of the probabilities using a Gröbner basis method, high order moments can be express linearly in terms of n basic moments. A main result is that high order cumula...

In the present paper, problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered. The heat conduction equation (HCE) region described by time HC fractional order Caputo derivative form. non-linear form converted to linear Kirchhoff’s transformation. Integral transform technique used deal spatial variables and Laplace der...

Abstract In this paper, mixed formulations are presented in the framework of isogeometric Reissner–Mindlin plates and shells with aim alleviating membrane shear locking. The based on Hellinger-Reissner functional use stress resultants as additional unknowns, which have to be interpolated appropriate approximation spaces. unknowns can eliminated by static condensation. analysis condensation is p...

This paper presents a mechanical and numerical approach to model localized deformations occurring in concrete structures with less than minimum reinforcement. The presented models are based on, validated against large-scale experiments conducted previous study investigate the behavior of minimally reinforced slab framework structural safety assessment an existing cut cover tunnel. deploys rotat...

The Fe-Ni-Pb-B alloy nanoparticles was prepared by a solid-solid chemical reaction of ferric trichloride, nickel chloride, lead acetate, and potassium borohydride powders at room temperature. The research results of the ICP and thermal analysis indicate that the resultants are composed of iron, nickel, lead, boron, and PVP, and the component of the alloy is connected with the mole ratio of pota...

Schur’s transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two polynomials. Although they do have a determinantal definition, we show that they satisfy a structure theorem which allows us to compute them with a type of Euclidean division. As a consequence, a fast algorithm based on a dich...

The problem of active control of the transient dynamic response of large space structures. modeled as equivalent continua. is investigated here. The effects of initial stresses. in the form of inplane stress resultants in an equivalent plate model. on the controllability of transverse dynamic response. are studied. A singular solution approach is used to derive a fully coupled set of nodal equa...

Structural conditions on the support of a multivariate polynomial system are developed for which the Dixon-based resultant methods compute exact resultants. For cases when this cannot be done, an upper bound on the degree of the extraneous factor in the projection operator can be determined a priori, thus resulting in quick identification of the extraneous factor in the projection operator. (Fo...

—A nonlinear least-squares method is presented for the identi cation of the induction motor parameters. A major dif culty with the induction motor is that the rotor state variables are not available measurements so that the system identi cation model cannot be made linear in the parameters without overparametrizing the model. Previous work in the literature has avoided this issue by making simp...