Yury Vetyukov

Yury Vetyukov
TU Wien | TU Wien

PhD
Mechanics of Solids; mechanics of axially moving structures

About

98
Publications
29,584
Reads
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960
Citations
Introduction
Yury Vetyukov currently works at the Institute of Mechanics and Mechatronics, TU Wien. Yury does research in Computing in Mathematics, Natural Science, Engineering, Mechanics and Mechanical Engineering.
Additional affiliations
February 2015 - June 2021
TU Wien
Position
  • Senior Researcher
Description
  • Head of Division "Mechanics of Solids"
January 2010 - January 2012
Austrian Center of Competence in Mechatronics
Austrian Center of Competence in Mechatronics
Position
  • Senior Researcher
January 2005 - May 2008
Peter the Great St.Petersburg Polytechnic University
Position
  • Lecturer

Publications

Publications (98)
Article
Full-text available
Induction heating is an important technology for many engineering applications. Its modelling and analysis are challenging because it is a multiphysics phenomenon coupling geometrically nonlinear mechanics, electromagnetics and heat conduction. One of the challenges is buckling of thin plates and beams due to high temperatures and thermal gradients...
Article
Textile waste is mostly incinerated because few recycling processes are available to recover valuable materials. In this work, a feasible chemo-enzymatic recycling process of wool/polyethylene terephthalate (PET)/elastane blends to recover pure PET is for the first time successfully demonstrated. Two novel enzyme formulations were selected for wool...
Article
Full-text available
The proposed Kirchhoff-Love shell stress resultant plasticity model extends a previously reported model for plates by complementing the constitutive law of elastoplasticity with membrane effects. This enhanced model is designed for bending dominant settings with small to moderate membrane forces. It is thus implemented in a purpose-built nonlinear...
Chapter
We consider a straight slender visco-elastic beam under periodic axial exci- tation. In order to determine the stability boundary of the undeformed configuration and the parameter domain for periodic solutions we apply different analytical and numerical methods, like simulation of a FE-model and path-following packages for different versions of red...
Article
Induction heating has many engineering applications. To accurately describe the induction heating process of thin steel sheets one needs to account for their mechanical deformation. This might strongly affect the magnetic configuration since thin sheets are prone to thermal buckling, leading to large supercritical deformations. We suggest a modelli...
Preprint
Full-text available
The proposed Kirchhoff–Love shell stress resultant plasticity model extends a previously reported model for plates by complementing the constitutive law of elastoplasticity with membrane effects. This enhanced model is designed for bending dominant settings with small to moderate membrane forces. It is thus implemented in a purpose-built nonlinear...
Article
Full-text available
This comprehensive review primarily concerns axially moving flexible structures in problems involving distributed structure-to-solid contact. The distinguishing features of axially moving structures are presented in terms of prevalent studies regarding models with simplified support conditions. Subsequent sections focus on the particular difficulti...
Article
In this paper, the classical C1-continuous Bogner-Fox-Schmit (BFS) elements are employed to study the buckling behavior of rectangular plates with multiple cutouts. BFS elements are constructed by taking the tensor product of cubic Hermitian polynomials, and thus, arguably constitute one of the simplest approaches to deriving plate/shell elements....
Chapter
The steady-state motion of belt drives is studied extensively in the literature. While traditional models rely on the theory of an extensible string, we aim to take bending effects into account. In this regard, it is well known that concentrated contact forces at the points of first and last contact with a pulley arise if shear deformations are res...
Article
Full-text available
A novel mixed Eulerian‐Lagrangian rod finite element formulation based on the theory of unshearable, extensible rods is presented. Geometric imperfections (natural curvature) are introduced to investigate and predict the phenomenon of lateral run‐off in the benchmark problem of a two‐pulley belt drive. The concise description of normal and tangenti...
Article
Full-text available
Modelling of roll forming process of sheet metal requires efficient treatment of plastic deformations of thin shells and plates. We suggest a new general approach towards constructing the governing equations of bending of an elastic-plastic Kirchhoff plate on the structural mechanics level. The generic function of the isotropic hardening law is for...
Article
Full-text available
We study the planar deformation of a beam that travels across a given control domain supported by a moving rough plane, which is a prototype for various technological processes. A sufficiently small misalignment between the guideways at the ends of the domain results in a stationary regime of motion, which features a zone of sticking contact near t...
Article
A non-material shell finite element model is developed and applied to the example problem of a slack steel belt moving on two rotating drums. For the first time in the open literature we demonstrate an approach for predicting the time evolution of the lateral run-off velocity of the belt in response to its geometric imperfection and angular drum mi...
Preprint
Full-text available
We study the planar deformation of a beam that travels across a given control domain supported by a moving rough plane, which is a prototype for various technological processes. A sufficiently small misalignment between the guideways at the ends of the domain results into a stationary regime of motion, which features a zone of sticking contact near...
Article
Full-text available
Roll forming is a continuous process in which a moving metal sheet passes through numerous pairs of opposing forming rolls. The shafts of the roll forming mill are equipped with these rolls and must be set up and aligned to achieve the required final profile of the sheet. The practically relevant task of predicting the profile geometry of this incr...
Article
We seek the steady-state motion of a slack two-pulley belt drive with the belt modeled as an elastic, shear-deformable rod. Dynamic effects and gravity induce significant transverse deflections due to the low pre-tension. In analogy to the belt-creep theory, it is assumed that each contact region between the belt and one of the pulleys consists of...
Article
Full-text available
We consider an initially horizontal curved elastic strip, which bends and twists under the action of the varying length of the span between the clamped ends and of the gravity force. Equations of the theory of rods, linearized in the vicinity of a largely pre-deformed state, allow for semi-analytical (or sometimes closed-form) solutions. A nonlinea...
Article
Full-text available
A shear deformable beam moving along a straight path is considered as an idealization of the problem of stationary operation of a belt drive. The partial contact with a traveling surface results in the shear deformation of the beam. The tangential contact force grows near the end of the contact zone. Assuming perfect adhesion of the lower fiber of...
Article
Full-text available
Having developed a mixed, quasistatic Eulerian–Lagrangian shell finite element model for the simulation of axially moving, endless steel belts, we focus on how to efficiently treat the Coulomb contact between belt and drums. The proposed method relies on the penalty regularization for normal contact and on an augmented Lagrangian strategy for tange...
Article
Full-text available
Bringing into focus the design aspect of thin film electro‐active polymer actuators justifies the deployment of a structural mechanics framework. We propose a physically consistent constitutive model for such actuators, which is valid for plates and shells as material surfaces within a complete direct formulation. To this end, we use the principle...
Chapter
Full-text available
We study the structural behaviour of rods with thin-walled open cross-sections. Such members are best known for their low torsional rigidity and extensive warping deformation when subjected to twisting. Proceeding to large deformations one needs to account for the geometrically non-linear effects in the cross-section, that affect the structural res...
Article
Full-text available
A novel finite element formulation for elastic unshearable rods in three‐dimensional space is presented. Looking forward to future implementations of axially moving belts, we use a mixed Eulerian‐Lagrangian kinematic formulation, which has the advantage that the element nodes are fixed in one spatial coordinate and the material points are flowing t...
Chapter
We present a novel mixed Eulerian–Lagrangian beam finite element formulation. Large spatial deformations of shear-rigid, but extensible rods with natural curvature are considered. The three-dimensional deformation of a thin strip clamped at both ends is computed with this novel method and compared with semi-analytic solutions of the boundary value...
Article
We propose a non-material finite element scheme for modelling large deformations of a closed flexible rod supported by two rigid pulleys in the field of gravity. The mixed Eulerian-Lagrangian kinematic description of circumferential and transverse displacements is beneficial for simulations of moving belt drives. The necessary C1 inter-element cont...
Article
Full-text available
Studying the mechanics of thin, axially moving strings, beams or plates (e.g.: belt drives, cable cars, …) at mixed Eulerian–Lagrangian description, which features the transformation of material coordinates to spatial ones, is more appropriate than the classical material (Lagrangian) one, see [1, 2]. Aiming at testing a newly proposed non‐material...
Article
We develop and validate a mathematical model of a belt drive with dry friction between the belt and the pulleys. Considering an idealized setting, we make use of the Eulerian (spatial) kinematic description for the belt, which moves quasistatically along a given contour. The focus of the paper lies on modelling the friction law in a non-material fi...
Article
We present a new mathematical model for the dynamics of a beam or a string, which moves in a given axial direction across a particular domain. Large in-plane vibrations are coupled with the gross axial motion, and a Lagrangian (material) form of the equations of structural mechanics becomes inefficient. The proposed mixed Eulerian-Lagrangian descri...
Article
Full-text available
We present a novel multistage hybrid asymptotic–direct approach to the modeling of the nonlinear behavior of thin shells with piezoelectric patches or layers, which is formulated in a holistic form for the first time in this paper. The key points of the approach are as follows: (1) the asymptotic reduction in the three-dimensional linear theory of...
Chapter
Full-text available
We discuss a series of methods of the mathematical modelling of large deformations of axially moving strings, beams and plates. Both uni-axial and looped trajectories of motion are considered, which allows the application of these methods to such practically important problems as rolling mills or belt drives. Based on the principles of Lagrangian m...
Chapter
Full-text available
Stability of a circular ring, pre-stressed by a temperature-like intrinsic deformation, is studied using the equations of the nonlinear theory of rods. The temperature gradient in the radial direction results in a bending moment. The critical state depends on the ratio of the bending stiffness coefficients. In the supercritical range, the ring begi...
Article
In this article, we present a nonlinear theory for thin plates, which are made of incompressible electroded dielectric elastomer layers. The layers are assumed to exhibit a neo-Hookean elastic behavior, and the effect of the electrostatic forces is taken into account by means of the electrostatic stress tensor. A plane state of stress is imposed on...
Article
Full-text available
Dynamics of a belt drive is analysed using a non-linear model of an extensible string at contour motion, in which the trajectories of particles of the belt are predetermined. The equations of string dynamics at the tight and slack spans are considered in a fixed domain by transforming into a spatial frame. Assuming the absence of slip of the belt o...
Article
Full-text available
We consider finite deformations and bending of an elastic plate moving across a given domain. Velocities of the plate are kinematically prescribed at two parallel lines, which bound the region in the direction of motion. Inhomogeneity of the velocity profile at the exit from the domain results in planar deformations and out-of-plane buckling of the...
Article
The paper is concerned with the modeling of the planar motion of a horizontal sheet of metal in a rolling mill. Inhomogeneous velocity profiles, with which the material is generated at one roll stand and enters the next one, lead to the time evolution of the deformation of the metal strip. We propose a novel kinematic description in which the axial...
Article
In the present paper we discuss the stability and the post-buckling behaviour of thin piezoelastic plates. The first part of the paper is concerned with the modelling of such plates. We discuss the constitutive modelling, starting with the three-dimensional constitutive relations within Voigt's linearized theory of piezoelasticity. Assuming a plane...
Article
Full-text available
The transient analysis of a belt drive is based on a nonlinear dynamic model of an extensible string at contour motion, in which the trajectories of particles of the belt are predetermined. The equations of string dynamics at the free spans are considered in a fixed domain by transforming into a spatial frame. Assuming the absence of slip of the be...
Article
In the present paper a geometrically nonlinear electromechanically coupled theory for thin shells with piezoelectric transducers is presented. Within this theory the shell is modelled as a material surface with mechanical and electrical degrees of freedom. A Finite Element implementation completes the first part of the paper. In the second part of...
Conference Paper
Full-text available
For the modelling of thin elastic shells with attached piezoelectric transducers, we consider a material surface with certain mechanical degrees of freedom in each point. Additionally , electrical unknowns are present within the domain, where the piezoelectric transducers are attached, such that the sensing and actuating behavior can be properly ac...
Chapter
Full-text available
We study dynamics of a belt drive with a nonlinear model of an extensible string at contour motion, in which the trajectories of particles of the belt are pre-determined. Writing the equations of string dynamics in a spatial frame and assuming the absence of slip of the belt on the surface of the pulleys we arrive at a new model with a discontinuou...
Data
Full-text available
Article
Full-text available
We consider large deformations of curved thin shells in the framework of a classical Kirchhoff‐Love theory for material surfaces. The geometry of the element is approximated via the position vector and its derivatives with respect to the material coordinates at the four nodes, and C1 continuity of the surface over the interfaces between the element...
Article
Full-text available
The present paper is concerned with Lagrange׳s Equations, applied to a deformable body in the presence of rigid body degrees of freedom. The Lagrange description of Continuum Mechanics is used. An exact version of the Equations is derived first. This version, which represents an identical extension of the Fundamental Law of Dynamics, does involve t...
Article
Full-text available
The complete system of equations of the theory of classical shells is presented as a consequence of the principle of virtual work. Equations of equilibrium, expressions for the strain measures, general form of constitutive relations and boundary conditions are obtained for a shell as a material surface with five degrees of freedom per particle. Dir...
Chapter
We consider rods, whose cross section is a thin open-ended strip. The effect of warping, when the points of the rod move axially at torsion, needs to be included in the analysis. Beginning with the discussion of traditional approaches, based on certain hypotheses and approximations, we proceed with the asymptotic study of the corresponding model of...
Chapter
This auxiliary chapter is devoted to the simulation environment which is employed throughout the book for performing analytical and numerical simulations. It begins with a discussion of the characteristic features of Mathematica, which are important for various kinds of mechanical modeling including analytical studies, finite element schemes, etc....
Chapter
We present a combination of the asymptotic, direct, and numerical methods on the example plane problem of finite deformations of a thin curved strip. The study includes both static and dynamic analyses; the inhomogeneity of the strip is taken into account. The method of asymptotic splitting allows for a consistent dimensional reduction of the equat...
Article
We begin with the asymptotic splitting of the equations of the three-dimensional theory of elasticity for a thin plate into a problem over the thickness and the equations of the classical plate model. All groups of the three-dimensional equations (equilibrium, compatibility, etc.) are processed separately. Both the material anisotropy and inhomogen...
Article
Beginning with the direct approach, we develop the general nonlinear theory of rods with initial twist and curvature. The principle of virtual work for a material line produces the equations of equilibrium, the expressions for the strain measures, and the general form of the constitutive relations. Further we discuss a transition to the classical t...
Chapter
The present contribution intends to promote an alternative form of Lagrange ’ s Equations, which rests upon the notion of momentum. We first present a short derivation of the proposed momentum based version of Lagrange’s Equations. From this derivation it becomes apparent that the derivatives of the kinetic energy with respect to the generalized co...
Conference Paper
The multibody dynamics and finite element simulation code has been developed since 1997. In the past years, more than 10 researchers have contributed to certain parts of HOTINT, such as solver, graphical user interface, element library, joint library, finite element functionality and port blocks. Currently, a script-language based version of HOTINT...
Article
Full-text available
A three-dimensional nonlinear finite element for thin beams is proposed within the absolute nodal coordinate formulation (ANCF). The deformation of the element is described by means of displacement vector, axial slope and axial rotation parameter per node. The element is based on the Bernoulli-Euler theory and can undergo coupled axial extension, b...
Conference Paper
Full-text available
In the present paper we develop the theoretical background of a novel damage detection method based on spatial compatibility filters. We introduce a spatial filter as a distributed strain-type sensor, which is capable to filter out certain parts of the strain tensor. In particular, we are interested in such types of filters, which filter out the co...
Article
Full-text available
The dynamics of a belt drive is considered in the framework of a nonlinear model of an extensible elastic string. Under the assumption of contour motion, in which the trajectories of particles of the string are pre-determined, we transform the general equations of string dynamics to the spatial description. Further simplification regarding the abse...
Chapter
The signal of a continuously distributed strain-type sensor is proportional to the weighted integral of the local strains. Choosing the weight functions as a solution to a particular auxiliary problem of statics, we design a sensor, whose signal in the geometrically linear setting equals to a desired kinematic entity. In the present paper we study...
Article
Full-text available
This paper is concerned with the detailed analysis of the behavior of a piezoceramic bi-morph torsion actuator using the d15-effect. The bi-morph actuator is made of two oppositely polarized adjacent piezoceramic prismatic beams. The mathematical analysis is based on the Saint-Venant torsion theory; a formulation of the electromechanically coupled...
Article
A multi-stage approach for the mathematical modeling in the field of nonlinear problems of mechanics of thin-walled structures is the subject of the present paper. A combination of the asymptotic, direct, and numerical methods for consistent and efficient analysis of problems of structural mechanics is presented on the example of plane problem of f...
Article
Full-text available
On the example problem of large elastic oscillations of a thin curved strip we present a combined modeling approach: the non-reduced continuous problem splits asymptotically into a system of linear equations of the rod model and a problem over the thickness; direct approach to a material line provides nonlinear equations; after the numerical soluti...
Data
Full-text available
This paper considers a solution of the problem of coupled hydroelasticity for a helicoidal shell in a rigid tube with a flowing ideal incompressible fluid, which is of interest for the design of heat exchange systems. The flow is considered potential, and boundary conditions are imposed on the deformed surface. The version of the classical theory o...
Conference Paper
Structures equipped with firmly attached piezoceramic actuators and sensors, which are connected by an automatic control system, represent most prominent members of the class of so-called smart structures. Various physical effects similar to piezoelectricity are under discussion also for actuation and sensing, but piezoceramic devices are on the le...
Article
Full-text available
This paper considers a solution of the problem of coupled hydroelasticity for a helicoidal shell in a rigid tube with a flowing ideal incompressible fluid, which is of interest for the design of heat exchange systems. The flow is considered potential, and boundary conditions are imposed on the deformed surface. The version of the classical theory o...
Article
A continuously distributed strain-type sensor produces a signal proportional to the weighted integral of the local strains. In the geometrically linear setting this signal equals a desired kinematic entity, if the weight functions are chosen as a solution to a particular auxiliary problem of statics. In the present paper we study the design of such...
Book
A three-dimensional nonlinear finite element for thin beams is proposed within the absolute nodal coordinate formulation (ANCF). The deformation of the element is described by means of displacement vector, axial slope and axial rotation parameter per node. The element is based on the Bernoulli-Euler theory and can undergo coupled axial extension, b...
Article
Full-text available
A novel asymptotic approach to the theory of non-homogeneous anisotropic plates is suggested. For the problem of linear static deformations we consider solutions, which are slowly varying in the plane of the plate in comparison to the thickness direction. A small parameter is introduced in the general equations of the theory of elasticity. Accordin...
Article
In this paper, we present a general approach for designing continuous strain-type sensors to measure specific kinematical entities in systems of structural mechanics. We first discuss the case of three-dimensional bodies in the geometrically linear regime, for which the solution of the sensor design problem is found from a problem-oriented applicat...
Article
We treat coupled electromechanical problem of finite deformations of piezoelectric shells with the help of the direct approach. A shell is considered as a material surface with mechanical degrees of freedom of particles and with an additional field variable, namely electric potential on the electrodes. This results both in the nonlinear system of e...
Conference Paper
In the present paper active control of continuous structures using piezoelectric actuator and sensor networks is studied. The well known method of dynamic shape control is first discussed for the case of continuously distributed strain induced actuators. Here, one computes an actuation that can exactly elliminate force induced vibrations for the ca...
Conference Paper
Based on our previous work on the design of piezoelectric sensor networks for structural and health monitoring of multi-storey frame structures, we study structural control of this type of structures in the present paper. Concerning the design of sensor networks for the frame structures, we have succeeded to develop methods to distribute the indivi...
Article
Full-text available
In the present paper, a review on piezoelectric sensing of mechanical deformations and vibrations of so-called smart or intelligent structures is given. After a short introduction into piezoelectric sensing and actuation of such controlled structures, we pay special emphasis on the description of some own work, which has been performed at the Insti...
Article
We suggest a method for the mathematical modeling of the response of a thin structure with integrated piezoelectric sensors and actuators under mechanical and electrical loads. The plate with attached piezoelectric patches is considered as a two-dimensional material surface with mechanical and electrical degrees of freedom of particles. The model i...
Article
A new asymptotic approach to the theory of thin-walled rods of open profile is suggested. For the problem of linear static deformation of a noncircular cylindrical shell we consider solutions, which are slowly varying along the axial coordinate. A small parameter is introduced in the equations of the modern theory of shells. Conditions of compatibi...
Article
Full-text available
In the framework of the direct approach shells are considered as deformable surfaces consisting of particles, and the relations of the theory are obtained with the methods of analytical mechanics. In the present work we assign to each particle five degrees of freedom, namely three translations and two in-plane rotations. The principle of virtual wo...
Conference Paper
It is shown that the constitutive equations and the dynamic boundary value problem for simple piezoelectric materials are derivable from the first and second laws of thermodynamics. The corresponding variational principle for the coupled electromechanical problem is applied for the problem of finite deformations of piezoelectric shells as material...
Article
Full-text available
We consider the stress-strain state of steel concrete rods, which comprise the frames of high multi-storey buildings under various static loadings: weight, wind, etc. The emphasis is put on geometric and physical nonlinearities in three-dimensional problems for the systems of multiple rods. Investigation is performed using the nonlinear theory of r...
Conference Paper
Dieser Beitrag beschäftigt sich mit dem Entwurf von intelligenten Sensorsystemen zur Überwachung und Regelung von dünnwandigen Bauteilen, wie etwa Balken, Rahmen, Platten und Schalen. Als Sensoren werden hierbei piezoelektrische Materialien verwendet, welche sich dadurch auszeichnen, dass sie einerseits sehr leicht und Platz sparend in die Konstruk...
Conference Paper
A continuously distributed strain-type sensor produces a signal proportional to the wighted integral of the local strains. In the geometrically linear setting this signal equals to a desired kinematic entity, if the weight functions are chosen as a solution to a particular auxiliary problem of statics. In the present paper we suggest and numericall...
Article
A continuously distributed strain-type sensor can be designed to produce a signal proportional to a desired kinematic entity in the geometrically linear range. The corresponding spatial distribution of the sensor is found as a solution to an auxiliary problem of statics. For a geometrically nonlinear setting we suggest a new general method to desig...
Article
A new geometrically nonlinear theory of thin-walled rods of open profile accounting for warping and bi-moment is developed. The direct approach we employ is based on the principles of Lagrangean mechanics. Linear equations for small deformations in the vicinity of a pre-stressed state are derived. These equations can be used in particular for stabi...
Conference Paper
A strategy of building sensor network for precise measuring of a desired kinematic quantity is known for linear models. For geometrically nonlinear setting we suggest a new general approach to develop a sensor network for measurements in the vicinity of a known pre-deformed state. The approach is presented for 3D and 1D continua. Numerical implemen...
Article
A computational strategy for modeling spatial motion of systems of flexible spatial bodies is presented. A new integral formulation of constraints is used in the context of the floating frame of reference approach. We discuss techniques to linearize the equations of motion both with respect to the kinematical coupling between the deformation and ri...
Article
Full-text available
Starting from the fully geometrically nonlinear deformation model of a 3D elastic body, a consistent approximation for the strain energy in the vicinity of a pre-deformed state is obtained. This allows for the stress (geometric) stiffening effect to be taken into account. Additional terms arise in the strain energy approximation in comparison to th...
Article
The floating frame of reference approach is used for the analysis of the in-plane oscillations of the suspended rectangular plate. The deformation is interpolated by means of polynomial shape functions. The equations of motion become nonlinear in the deformation degrees of freedom both due to the geometrically nonlinear deformation model and to the...
Article
Dynamics of the elastoplastic media is stated in terms of plastic eigenstrains acting upon a background elastic problem with fixed (initial) stiffness. The plastic flow is described by specifically introduced plastic multipliers, which minimizes the number of unknown variables to be determined within the time step. A fixed-point type iteration stra...
Article
Statics of elasto-plastic media is stated in terms of eigenstrains acting upon a background elastic problem with fixed (initial) stiffness. In order to minimize the number of unknowns and to provide computationally cheap algorithms plastic multipliers are used as main driving variables. Fixed-point type iterations are suggested for computing plasti...
Article
In this report a model for drilling response of the so- called drag bits (or PDC bits) is presented. Forces acting on a single cutter are supposed to be known. Discrete and continuous cutters distribution over the bit surface are considered. Both lead to similar relations between the bit kinematics characteristics and the force factors acting on it...

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