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The prototypes of Falling-Object Protective Structures (FOPS), which are used in self-propelled mining machines, undergo obligatory laboratory strength tests. The stand tests should be preceded with virtual prototyping of computer models to reduce the number of prototypes to an indispensable minimum. The Finite Element Method was used for the virtual prototyping. At the same time, after tests, the...
MHD nonlinear steady flow and heat transfer over a porous surface stretching with a power-law velocity and of constant heat flux is investigated. The governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations by using similarity transformation. As the presented solution method requires the magnetic field to vary in space in a specific manner, a special...
This paper describes the application of the Trefftz method to the temperature rise in human skin exposed to radiation from a cellular phone. A governing equation is given as the Poisson equation. An inhomogeneous term of the equation is approximated with a polynomial function in Cartesian coordinates. The use of the approximated term transforms the original boundary-value problem to that governed...
Balancing is the process of improving the mass distribution of a body so that it rotates in its bearings without unbalanced centrifugal forces. It is thus critical to the performance of any high speed equipment. The problem is mathematically modeled and a genetic algorithm is presented for obtaining optimal solutions for balancing problems on rotating shafts. This is eventually converted into computer...
The autoprogressive and cumulative algorithms, basing on `on line' formulation of patterns and the training of NMM (Neural Material Model), are evaluated to be comparable in case of uniaxial stress state problems. It is shown in the paper that for the plane stress boundary value problems the autoprogressive algorithm, in which NMM is trained for each load increment, is superior to the cumulative algorithm...
Problem of locally disordered atomic structure is solved by using a hybrid formulation in which nonlinear elastic finite elements are linked with discrete atomic interaction elements. The continuum approach uses nonlinear hyperelasticity based upon the generalized strain while the atomistic approach employs the Tight-Binding Second-Moment Approximation potential to create new type of elements. The...
The paper deals with the application of the differential quadrature method based on a piecewise polynomial to the nonlinear vibration analysis of beams. The initial–boundary-value problem is solved to study the computational stability of the method. The results are compared with those, obtained by the conventional differential quadrature. The effects of the spline degree, the number of nodes and the...
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