Mathematical Modeling of Dynamic Processes of Irreversible Deforming, Micro- and Macrofracture of Solids and Structures

2002 ◽  
Vol 5 (2-3-4) ◽  
pp. 351-362 ◽  
Author(s):  
Alexey B Kiselev ◽  
Alexander A Luk'yanov
Keyword(s):  
Mathematical Modeling ◽  
Dynamic Processes

scholarly journals MATHEMATICAL MODELING OF DYNAMIC PROCESSES IN THE HULL OF LIGHTLY ARMORED VEHICLE UNDER IMPULSIVE ACTION

2018 ◽  
Vol 0 (7(1283)) ◽  
pp. 76-85
Author(s):  
Anatoliy Nabokov ◽  
Mykola Tkachuk ◽  
Andrii Malakеi ◽  
Andrey Grabovskiy ◽  
Anton Vasiliev ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Dynamic Processes ◽  
Impulsive Action ◽  
Armored Vehicle

scholarly journals ВЫБОР ЧИСЛЕННЫХ МЕТОДОВ ПРИ МОДЕЛИРОВАНИИ ДИНАМИКИ СИСТЕМ

2016 ◽  
Vol 53 (3) ◽  
pp. 98
Author(s):  
Tetiana D. Panchenko ◽  
Iryna A. Tuzova ◽  
Volodymyr V. Chelabchi ◽  
Viktor M. Chelabchi
Keyword(s):  
Mathematical Modeling ◽  
Adaptive Control ◽  
Approximate Solution ◽  
Estimation Error ◽  
Main Tool ◽  
Grid Method ◽  
Adaptive Method ◽  
Original Method ◽  
Dynamic Processes ◽  
Nonlinear Functions

The article deals with the creation of methodical support for mathematical modeling of dynamic processes in elements of the systems and complexes. As mathematical models ordinary differential equations have been used. The coefficients of the equations of the models can be nonlinear functions of the process. The projection-grid method is used as the main tool. It has been described iterative method algorithms taking into account the approximate solution prior to the first iteration and proposed adaptive control computing process. The original method of estimation error in the calculation solutions as well as for a given level of error of the technique solutions purpose adaptive method for solving configuration parameters is offered. A method for setting an adaptive method for solving the settings for a given level of error is given. The proposed method can be used for distributed computing.

scholarly journals Mathematical model of the volumetric hydrodrive’s dynamics, sensitive to the loading variation

2018 ◽  
Vol 224 ◽  
pp. 02100 ◽  
Author(s):  
Alexandra Ivanovskaya ◽  
Vladimir Popov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Characteristic Feature ◽  
Hydraulic Drive ◽  
Drive System ◽  
Operating Principle ◽  
Dynamic Loads ◽  
Dynamic Processes ◽  
Hydromechanical System

The paper deals with the problems of mathematical modeling of the dynamic processes proceeding in a complex hydromechanical system of the ship’s deck load-lifting devices. The characteristic feature of this class of equipment is the operation in special conditions, i.e, under the influence of external hydrometeorological factors, taking into account variations in the parameters of lifted or lowered cargo. With a view to gradual regulation of the change of torque on the working drum to reduce dynamic loads, it is offered to use a hydraulic drive that is sensitive to the variation of loading. The operating principle of the considered volumetric hydraulic drive is described. The received mathematical model allows to establish influence of the hydrodrive parameters on transients in a drive system.

scholarly journals Mathematical Modelling of a Specialized Vehicle Caterpillar Mover Dynamic Processes Under Condition of the Distributing the Parameters of the Caterpillar

2018 ◽  
Vol 7 (4.3) ◽  
pp. 40 ◽  
Author(s):  
Serhii Strutynskyi ◽  
Volodymyr Kravchu ◽  
Roman Semenchuk
Keyword(s):  
Mathematical Modeling ◽  
Differential Equation ◽  
Mathematical Modelling ◽  
Mass Concentration ◽  
Forced Oscillations ◽  
Dynamic Processes ◽  
Random Loads ◽  
Distributed Parameters ◽  
The Mathematical Model ◽  
Transverse Oscillations

Features of a specialized vehicle caterpillar mover are considered. A dynamic model of caterpillar transverse oscillations as a system with distributed parameters is proposed. The differential equation in partial derivatives is obtained and its connection in the form of a decomposition by normal oscillation types is found. The analysis of frequencies and the type of caterpillar oscillations has been made. Inertial loads have been found. The mathematical model of forced oscillations of a caterpillar under the influence of random loads is developed and the mathematical modelling is executed. An analysis of the vibration movements and vibration velocities of the intersections of the caterpillar is carried out. The mathematical modeling of the caterpillar oscillations caused by stochastic discrete loads was carried out. A model of random discrete loads has been developed, calculations of the realization of random loads are performed. It was established that the transverse discrete loads occur in points of mass concentration on the caterpillar surface. 

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