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Mathematical modeling of nonstationary processes in engine aggregates of mud pumps

Kharchenko Y.

Diagnostyka

2008

nr 4(48)

61-65

The mathematical model of dynamic processes in the engine aggregate of the mud pump with the operating friction clutch is offered. Inconstancy of reduced moment of inertia of crank mechanism of the pump and also interrelation of electromagnetic effects in asynchronous engine with non-linear oscillations of mechanical system are taken into account. The integration of system of the differential equations of movement of pump is realized by numerical methods.

A new model for the analysis of nonstationary processes in material systems with a periodic structure

Rychlewska J., Szymczyk J., Woźniak C.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2002

Vol. 1, nr 1

201--215

The main aim of this paper is to outline a new approach to the formulation of approximate mathematical models for the analysis of non-stationary thermomechanical processes in micro-periodic solids and structures. The modelling procedure is realized in two steps. First, a system of finite difference equations is formulated by the periodic FEM discretization of the unit cell for a solid under consideration. Second, by applying some smoothness operations we derive continuum model equations directly from the finite difference equations. In contrast to the known homogenization and tolerance averaging methods, the proposed modeling approach can be formulated on different levels of accuracy which depend on the mesh parameter related to the periodic FEM discretization of the unit cell.