Dmitry Pogorelov - Academia.edu (original) (raw)

Uploads

Papers by Dmitry Pogorelov

Research paper thumbnail of Presentation: Simulation of Tracked Vehicle Dynamics with Universal Mechanism Software

Research paper thumbnail of Presentation: ICRT 2017 Methods of Simulation of Railway Wheelset Dynamics taking into account Elasticity

Research paper thumbnail of Presentation: Computer-Aided Simulation of Multibody System Dynamics: Modern State and Future Prospect

Research paper thumbnail of Presentation: Simulation of Electric Locomotives as Mechatronic Systems

Research paper thumbnail of Influence of Drilling Fluid on Free Oscillations of Drillstring

Oil and Gas Business, 2018

Аннотация. Рассмотрен алгоритм расчета собственных колебаний бурильной колонны в скважине, ось ко... more Аннотация. Рассмотрен алгоритм расчета собственных колебаний бурильной колонны в скважине, ось которой задается произвольной пространственной кривой. Бурильная колонна моделируется геометрически нелинейными балочными конечными элементами с использованием модифицированного подхода Крейга-Бемптона. Уравнения движения колонны линеаризуются в окрестности положения равновесия. Для учета влияния жидкости используется полученное авторами S.S. Chen, M.W. Wambsganss, J.A. Jendrzejczyk аналитическое выражение для коэффициентов вязкого сопротивления жидкости и присоединенной массы в случае плоской задачи о гармонических колебаниях кругового цилиндра в трубе, заполненной несжимаемой ньютоновской жидкостью. 135 © Сетевое издание «Нефтегазовое дело». 2018. №5 http://ogbus.ru С учетом модели Чена матрицы масс и демпфирования линеаризованной модели зависят от частоты колебаний. В данной работе приведено решение Чена, анализируются алгоритмы расчета коэффициентов диссипации и присоединенных масс через модифицированные функции Бесселя в условиях плохой обусловленности выражений для этих коэффициентов. Предложен быстрый итерационный алгоритм расчета собственных частот и форм колебаний колонны, а также метод оценки степени демпфирования каждой частоты. Разработанные алгоритмы реализованы в программном комплексе «Универсальный механизм» (ПК УМ).

Research paper thumbnail of Computer simulation of train-track-bridge interaction

Railway vehicles are considered as multibody systems that include rigid or flexible bodies, joint... more Railway vehicles are considered as multibody systems that include rigid or flexible bodies, joints and force elements. The track model is considered as a periodic 3D structure consisting of rails, pads and sleepers on a flexible foundation. Two rails modelled as Timoshenko beams are discretely supported on the sleepers through the railpads and fasteners, that are modelled as nonlinear force elements. The foundation (bridge, tunnel, overpass) is considered as a flexible multibody system simulated using finite element method.

Research paper thumbnail of Simulation of a Rotating Chain with an Absolute Nodal Coordinate Formulation

A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed to... more A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed top point is studied. Nonlinear equation of its two-dimensional shapes of relative equilibrium is obtained and solved numerically. A linear case of small displacements is analyzed in terms of Bessel functions. The qualitative and quantitative behavior of the problem is discussed with the help of bifurcation diagram. Dynamics of the two-dimensional model near the equilibrium positions is studied with the help of simulation using the absolute nodal coordinate formulation (ANCF). The equilibriums are found instable, and the reason of instability is explained using a variational principle.

Research paper thumbnail of Use of Multibody System Approach for Torque and Drag Analysis of Long Drill Strings

The paper focuses on application of multibody system approach for the torque and drag analysis of... more The paper focuses on application of multibody system approach for the torque and drag analysis of long drill strings. The approach is used to get improved results as compared with those obtained by soft-string models. The analysis is carried out by integration of equations of motion of the drill strings till reaching equilibrium under externally applied loads corresponding to conditions of drilling operations. A small value of kinetic energy serves as a criterion for finishing the simulation. To increase the convergence, high damping is applied to the drill string. Such damping is absent in the real well bores. It leads to speedy fall of the kinetic energy in a few seconds after start of the integration. However, low frequency oscillations with very small value of the energy appear if length of the drill string is several kilometers. As the result, the equilibrium position is reached very slowly. In order to overcome this effect, the three-step algorithm is proposed. It is based on ...

Research paper thumbnail of The Trapezoidal Finite Element in Absolute Coordinates for Dynamic Modeling of Automotive Tire and Air Spring Bellows. Part II: Verification

Transport Problems, 2021

The second part of the paper includes numerical tests verifying equations of motion of flexible b... more The second part of the paper includes numerical tests verifying equations of motion of flexible bodies in absolute coordinates with rectangle and isosceles trapezoid finite elements. The equations are formulated in the first part of the paper. The verification is based on three types of problems: calculation of natural frequencies and modes, evaluation of buckling, and computation of large static and dynamic deflections of flexible bodies. Tests show good agreement with the theoretical results and the results obtained by other authors.

Research paper thumbnail of Parallel Computations and Co-Simulation in Universal Mechanism Software. Part I: Algorithms and Implementation

Research paper thumbnail of Parallel Computations and Co-Simulation in Universal Mechanism Software. Part II: Examples

Research paper thumbnail of Verification of Absolute Nodal Coordinate Formulation in Flexible Multibody Dynamics via Physical Experiments of Large Deformation Problems

Journal of Computational and Nonlinear Dynamics

A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for... more A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates, their geometrical description inherited from FEM, and formulations of the most important elements of equations of motion. Much attention is also paid to simulation examples that show reasonableness and accuracy of the formulations applied to real physical problems and that are compared with experiments having significant geometrical nonlinearity. Current and further development directions of the ANCF are also briefly outlined.

Research paper thumbnail of Train 3D: the technique for inclusion of three-dimensional models in longitudinal train dynamics and its application in derailment studies and train simulators

Research paper thumbnail of Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation

Multibody Syst Dyn, 2003

We propose a way to generate new finite elements in the absolute nodal coordinate formulation (AN... more We propose a way to generate new finite elements in the absolute nodal coordinate formulation (ANCF) and use a generalization of displacement fields and degrees of freedom (d.o.f.) of ordinary finite elements used in structural mechanics. Application of this approach to 16-and 12-d.o.f. rectangle plate elements as well as to 9-d.o.f. triangle element gives, accordingly, 48-, 36and 27-d.o.f. ANCF plate elements. We perform a thorough study of a 48-d.o.f. Hermitian element. Its shape function set is a Cartesian product of sets of one-dimensional shape functions for beam elements. Arguments of the shape functions are decoupled, that is why an explicit calculation of terms of equations of motion leads to single integration only. We develop several models of elastic forces of different complexity with their Jacobian matrices. Convergence and accuracy of the finite element is demonstrated in geometrically nonlinear static and dynamic test problems, as well as in linear analysis of natural frequencies.

Research paper thumbnail of Di erential-algebraic equations in multibody system modelling

Research paper thumbnail of On numerical methods of modeling large multi body systems

Mechanism and Machine Theory, 1999

Research paper thumbnail of Results of investigations of railway vehicles properties with the new design of wheelsets using the refined theoretical models and field tests

Vehicle System Dynamics, 2004

Résumé/Abstract Results of linking research on analysis of the railway vehicle properties with th... more Résumé/Abstract Results of linking research on analysis of the railway vehicle properties with the new design of wheelsets allowing various angular velocities of the tread rotations relative to the wheel centres are considered. On the basis of an analysis performed using ...

Research paper thumbnail of Simulation of constraints by compliant joints

J Comput Syst Sci Int Engl Tr, 2011

ABSTRACT Application of models of compliant (flexible) joints instead of constraint equations for... more ABSTRACT Application of models of compliant (flexible) joints instead of constraint equations for systems with closed-loop kinematic chains is considered; this makes it possible to replace differential-algebraic motion equations by stiff ordinary differential equations. For substantiation of this replacement, methods of analysis of singularly perturbed equations are used. Examples of mathematical models of compliant joints and expressions for approximate Jacobian matrices corresponding to these force interactions are given. Numerical solutions of direct and inverse dynamics equations for a number of controlled mechanisms are used for testing the method and its program realization.

Research paper thumbnail of On The numerical methods for modeling che multibody systems

Zeitschrift Fur Angewandte Mathematik Und Mechanik, 1996

Research paper thumbnail of Jacobian matrices of the motion equations of a system of bodies

J Comput Syst Sci Int Engl Tr, 2007

ABSTRACT Analytical expressions for the elements of the Jacobian matrices of the motions equation... more ABSTRACT Analytical expressions for the elements of the Jacobian matrices of the motions equations of a system of bodies are considered in the exact and approximate statements. To reduce the number of operations in simulating the dynamics of the system of bodies numerically, the notions of local Jacobian matrices of force elements and block-diagonal local Jacobian matrices are introduced, and the matrices of the latter type are justified to be used for a wide class of force interactions of bodies.

Research paper thumbnail of Presentation: Simulation of Tracked Vehicle Dynamics with Universal Mechanism Software

Research paper thumbnail of Presentation: ICRT 2017 Methods of Simulation of Railway Wheelset Dynamics taking into account Elasticity

Research paper thumbnail of Presentation: Computer-Aided Simulation of Multibody System Dynamics: Modern State and Future Prospect

Research paper thumbnail of Presentation: Simulation of Electric Locomotives as Mechatronic Systems

Research paper thumbnail of Influence of Drilling Fluid on Free Oscillations of Drillstring

Oil and Gas Business, 2018

Аннотация. Рассмотрен алгоритм расчета собственных колебаний бурильной колонны в скважине, ось ко... more Аннотация. Рассмотрен алгоритм расчета собственных колебаний бурильной колонны в скважине, ось которой задается произвольной пространственной кривой. Бурильная колонна моделируется геометрически нелинейными балочными конечными элементами с использованием модифицированного подхода Крейга-Бемптона. Уравнения движения колонны линеаризуются в окрестности положения равновесия. Для учета влияния жидкости используется полученное авторами S.S. Chen, M.W. Wambsganss, J.A. Jendrzejczyk аналитическое выражение для коэффициентов вязкого сопротивления жидкости и присоединенной массы в случае плоской задачи о гармонических колебаниях кругового цилиндра в трубе, заполненной несжимаемой ньютоновской жидкостью. 135 © Сетевое издание «Нефтегазовое дело». 2018. №5 http://ogbus.ru С учетом модели Чена матрицы масс и демпфирования линеаризованной модели зависят от частоты колебаний. В данной работе приведено решение Чена, анализируются алгоритмы расчета коэффициентов диссипации и присоединенных масс через модифицированные функции Бесселя в условиях плохой обусловленности выражений для этих коэффициентов. Предложен быстрый итерационный алгоритм расчета собственных частот и форм колебаний колонны, а также метод оценки степени демпфирования каждой частоты. Разработанные алгоритмы реализованы в программном комплексе «Универсальный механизм» (ПК УМ).

Research paper thumbnail of Computer simulation of train-track-bridge interaction

Railway vehicles are considered as multibody systems that include rigid or flexible bodies, joint... more Railway vehicles are considered as multibody systems that include rigid or flexible bodies, joints and force elements. The track model is considered as a periodic 3D structure consisting of rails, pads and sleepers on a flexible foundation. Two rails modelled as Timoshenko beams are discretely supported on the sleepers through the railpads and fasteners, that are modelled as nonlinear force elements. The foundation (bridge, tunnel, overpass) is considered as a flexible multibody system simulated using finite element method.

Research paper thumbnail of Simulation of a Rotating Chain with an Absolute Nodal Coordinate Formulation

A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed to... more A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed top point is studied. Nonlinear equation of its two-dimensional shapes of relative equilibrium is obtained and solved numerically. A linear case of small displacements is analyzed in terms of Bessel functions. The qualitative and quantitative behavior of the problem is discussed with the help of bifurcation diagram. Dynamics of the two-dimensional model near the equilibrium positions is studied with the help of simulation using the absolute nodal coordinate formulation (ANCF). The equilibriums are found instable, and the reason of instability is explained using a variational principle.

Research paper thumbnail of Use of Multibody System Approach for Torque and Drag Analysis of Long Drill Strings

The paper focuses on application of multibody system approach for the torque and drag analysis of... more The paper focuses on application of multibody system approach for the torque and drag analysis of long drill strings. The approach is used to get improved results as compared with those obtained by soft-string models. The analysis is carried out by integration of equations of motion of the drill strings till reaching equilibrium under externally applied loads corresponding to conditions of drilling operations. A small value of kinetic energy serves as a criterion for finishing the simulation. To increase the convergence, high damping is applied to the drill string. Such damping is absent in the real well bores. It leads to speedy fall of the kinetic energy in a few seconds after start of the integration. However, low frequency oscillations with very small value of the energy appear if length of the drill string is several kilometers. As the result, the equilibrium position is reached very slowly. In order to overcome this effect, the three-step algorithm is proposed. It is based on ...

Research paper thumbnail of The Trapezoidal Finite Element in Absolute Coordinates for Dynamic Modeling of Automotive Tire and Air Spring Bellows. Part II: Verification

Transport Problems, 2021

The second part of the paper includes numerical tests verifying equations of motion of flexible b... more The second part of the paper includes numerical tests verifying equations of motion of flexible bodies in absolute coordinates with rectangle and isosceles trapezoid finite elements. The equations are formulated in the first part of the paper. The verification is based on three types of problems: calculation of natural frequencies and modes, evaluation of buckling, and computation of large static and dynamic deflections of flexible bodies. Tests show good agreement with the theoretical results and the results obtained by other authors.

Research paper thumbnail of Parallel Computations and Co-Simulation in Universal Mechanism Software. Part I: Algorithms and Implementation

Research paper thumbnail of Parallel Computations and Co-Simulation in Universal Mechanism Software. Part II: Examples

Research paper thumbnail of Verification of Absolute Nodal Coordinate Formulation in Flexible Multibody Dynamics via Physical Experiments of Large Deformation Problems

Journal of Computational and Nonlinear Dynamics

A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for... more A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates, their geometrical description inherited from FEM, and formulations of the most important elements of equations of motion. Much attention is also paid to simulation examples that show reasonableness and accuracy of the formulations applied to real physical problems and that are compared with experiments having significant geometrical nonlinearity. Current and further development directions of the ANCF are also briefly outlined.

Research paper thumbnail of Train 3D: the technique for inclusion of three-dimensional models in longitudinal train dynamics and its application in derailment studies and train simulators

Research paper thumbnail of Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation

Multibody Syst Dyn, 2003

We propose a way to generate new finite elements in the absolute nodal coordinate formulation (AN... more We propose a way to generate new finite elements in the absolute nodal coordinate formulation (ANCF) and use a generalization of displacement fields and degrees of freedom (d.o.f.) of ordinary finite elements used in structural mechanics. Application of this approach to 16-and 12-d.o.f. rectangle plate elements as well as to 9-d.o.f. triangle element gives, accordingly, 48-, 36and 27-d.o.f. ANCF plate elements. We perform a thorough study of a 48-d.o.f. Hermitian element. Its shape function set is a Cartesian product of sets of one-dimensional shape functions for beam elements. Arguments of the shape functions are decoupled, that is why an explicit calculation of terms of equations of motion leads to single integration only. We develop several models of elastic forces of different complexity with their Jacobian matrices. Convergence and accuracy of the finite element is demonstrated in geometrically nonlinear static and dynamic test problems, as well as in linear analysis of natural frequencies.

Research paper thumbnail of Di erential-algebraic equations in multibody system modelling

Research paper thumbnail of On numerical methods of modeling large multi body systems

Mechanism and Machine Theory, 1999

Research paper thumbnail of Results of investigations of railway vehicles properties with the new design of wheelsets using the refined theoretical models and field tests

Vehicle System Dynamics, 2004

Résumé/Abstract Results of linking research on analysis of the railway vehicle properties with th... more Résumé/Abstract Results of linking research on analysis of the railway vehicle properties with the new design of wheelsets allowing various angular velocities of the tread rotations relative to the wheel centres are considered. On the basis of an analysis performed using ...

Research paper thumbnail of Simulation of constraints by compliant joints

J Comput Syst Sci Int Engl Tr, 2011

ABSTRACT Application of models of compliant (flexible) joints instead of constraint equations for... more ABSTRACT Application of models of compliant (flexible) joints instead of constraint equations for systems with closed-loop kinematic chains is considered; this makes it possible to replace differential-algebraic motion equations by stiff ordinary differential equations. For substantiation of this replacement, methods of analysis of singularly perturbed equations are used. Examples of mathematical models of compliant joints and expressions for approximate Jacobian matrices corresponding to these force interactions are given. Numerical solutions of direct and inverse dynamics equations for a number of controlled mechanisms are used for testing the method and its program realization.

Research paper thumbnail of On The numerical methods for modeling che multibody systems

Zeitschrift Fur Angewandte Mathematik Und Mechanik, 1996

Research paper thumbnail of Jacobian matrices of the motion equations of a system of bodies

J Comput Syst Sci Int Engl Tr, 2007

ABSTRACT Analytical expressions for the elements of the Jacobian matrices of the motions equation... more ABSTRACT Analytical expressions for the elements of the Jacobian matrices of the motions equations of a system of bodies are considered in the exact and approximate statements. To reduce the number of operations in simulating the dynamics of the system of bodies numerically, the notions of local Jacobian matrices of force elements and block-diagonal local Jacobian matrices are introduced, and the matrices of the latter type are justified to be used for a wide class of force interactions of bodies.