Krysʹko, V. A. (Vadim Anatolʹevich) 1937
Overview
Works:  38 works in 117 publications in 3 languages and 2,072 library holdings 

Roles:  Author, htt 
Classifications:  QA935, 624.1776 
Publication Timeline
.
Most widely held works by
V. A Krysʹko
Thermodynamics of plates and shells by
J Awrejcewicz(
)
20 editions published between 2006 and 2007 in English and held by 505 WorldCat member libraries worldwide
"This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shelltype constructions and sectorial shells are studied. The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and nonstationary thermal loads. Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering. Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed." "This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shelltype constructions."Jacket
20 editions published between 2006 and 2007 in English and held by 505 WorldCat member libraries worldwide
"This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shelltype constructions and sectorial shells are studied. The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and nonstationary thermal loads. Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering. Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed." "This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shelltype constructions."Jacket
Chaos in structural mechanics by
J Awrejcewicz(
)
18 editions published in 2008 in English and held by 465 WorldCat member libraries worldwide
"This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof." "The approach draws upon the wellestablished fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the BubnovGalerkin method, are thus described in detail"Jacket
18 editions published in 2008 in English and held by 465 WorldCat member libraries worldwide
"This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof." "The approach draws upon the wellestablished fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the BubnovGalerkin method, are thus described in detail"Jacket
Introduction to asymptotic methods by
J Awrejcewicz(
Book
)
10 editions published in 2006 in English and held by 251 WorldCat member libraries worldwide
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematicalanalytical treatment of various objects taken from interdisciplinary fields
10 editions published in 2006 in English and held by 251 WorldCat member libraries worldwide
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematicalanalytical treatment of various objects taken from interdisciplinary fields
Nonlinear dynamics of continuous elastic systems by
J Awrejcewicz(
Book
)
12 editions published between 2004 and 2011 in English and German and held by 230 WorldCat member libraries worldwide
"This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of nonhomogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application."BOOK JACKET
12 editions published between 2004 and 2011 in English and German and held by 230 WorldCat member libraries worldwide
"This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of nonhomogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application."BOOK JACKET
Nonclassical thermoelastic problems in nonlinear dynamics of shells : applications of the BubnovGalerkin and finite difference
numerical methods by
J Awrejcewicz(
Book
)
10 editions published between 2002 and 2003 in English and held by 223 WorldCat member libraries worldwide
"The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours."Jacket
10 editions published between 2002 and 2003 in English and held by 223 WorldCat member libraries worldwide
"The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours."Jacket
Mathematical Models of Higher Orders : Shells in Temperature Fields by
V. A Krysʹko(
)
8 editions published in 2019 in English and held by 192 WorldCat member libraries worldwide
This book offers a valuable methodological approach to the stateoftheart of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling nonlinear phenomena governed by PDEs
8 editions published in 2019 in English and held by 192 WorldCat member libraries worldwide
This book offers a valuable methodological approach to the stateoftheart of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling nonlinear phenomena governed by PDEs
ELASTIC AND THERMOELASTIC PROBLEMS IN NONLINEAR DYNAMICS OF STRUCTURAL MEMBERS : applications of ... the bubnovgalerkin and
finite difference methods by
J Awrejcewicz(
)
3 editions published in 2020 in English and held by 117 WorldCat member libraries worldwide
Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall stateofthe art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours
3 editions published in 2020 in English and held by 117 WorldCat member libraries worldwide
Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall stateofthe art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours
Deterministic chaos in one dimensional continuous systems by
J Awrejcewicz(
)
3 editions published in 2016 in English and held by 39 WorldCat member libraries worldwide
"This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations. Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the EulerBernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elasticplastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyperchaos, hyperhyperchaos and deep chaos exhibited by rectangular platestrips and cylindrical panels. The book is intended for postgraduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering."Provided by publisher
3 editions published in 2016 in English and held by 39 WorldCat member libraries worldwide
"This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations. Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the EulerBernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elasticplastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyperchaos, hyperhyperchaos and deep chaos exhibited by rectangular platestrips and cylindrical panels. The book is intended for postgraduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering."Provided by publisher
Chaos in Structural Mechanics. Understanding Complex Systems(
)
1 edition published in 2008 in English and held by 21 WorldCat member libraries worldwide
Introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof. This work describes the computational methods, in particular the BubnovGalerkin method
1 edition published in 2008 in English and held by 21 WorldCat member libraries worldwide
Introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof. This work describes the computational methods, in particular the BubnovGalerkin method
Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members : Applications of the BubnovGalerkin and Finite
Difference Methods by
J Awrejcewicz(
)
1 edition published in 2020 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2020 in English and held by 4 WorldCat member libraries worldwide
Drgania układów ciągłych by
J Awrejcewicz(
Book
)
2 editions published in 2000 in Polish and held by 3 WorldCat member libraries worldwide
2 editions published in 2000 in Polish and held by 3 WorldCat member libraries worldwide
Techniki i metody analizy drgań płyt i powłok by
J Awrejcewicz(
Book
)
1 edition published in 1996 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in Polish and held by 2 WorldCat member libraries worldwide
Od piramid do gwiazd : rola matematyki i mechaniki w rozwoju cywilizacji : krótki rys historyczny by
J Awrejcewicz(
Book
)
1 edition published in 2003 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in Polish and held by 2 WorldCat member libraries worldwide
Origin and interaction of mathematics and mechanics by
J Awrejcewicz(
Book
)
2 editions published in 2007 in Polish and English and held by 2 WorldCat member libraries worldwide
2 editions published in 2007 in Polish and English and held by 2 WorldCat member libraries worldwide
Wprowadzenie do współczesnych metod asymptotycznych by
J Awrejcewicz(
Book
)
1 edition published in 2004 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in Polish and held by 2 WorldCat member libraries worldwide
Dynamika i stateczność podatnych wycinkowych powłok obciążanych termodynamicznie by
J Awrejcewicz(
Book
)
1 edition published in 2002 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 2002 in Polish and held by 2 WorldCat member libraries worldwide
Analiza numeryczna drgań powłok z wymuszeniem termicznym by
J Awrejcewicz(
Book
)
1 edition published in 1998 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in Polish and held by 2 WorldCat member libraries worldwide
Trójwymiarowe zagadnienia teorii płyt w polu temperaturowym by
J Awrejcewicz(
Book
)
1 edition published in 2003 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in Polish and held by 2 WorldCat member libraries worldwide
Dynamika i stateczność powłok przy wymuszeniach termicznych by
J Awrejcewicz(
Book
)
1 edition published in 1999 in Polish and held by 2 WorldCat member libraries worldwide
1 edition published in 1999 in Polish and held by 2 WorldCat member libraries worldwide
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Associated Subjects
Building materials BuildingsVibration Chaotic behavior in systems Computational intelligence Computer science Computer scienceMathematics Differential equations, Partial Differential equationsAsymptotic theory Dynamics Elastic plates and shells Engineering Engineering mathematics Finite differences Galerkin methods GirdersMathematical models Materials Mathematical analysis Mathematics Mechanical engineering Mechanics Mechanics, Applied Nonlinear mechanics Nonlinear theories Physics Plates (Engineering) Shells (Engineering) Shells (Engineering)Mathematical models Singular perturbations (Mathematics) Statistical physics Strength of materialsMathematics Structural analysis (Engineering)Mathematical models Structural dynamicsMathematics Thermodynamics ThermodynamicsMathematical models Vibration
Covers
Alternative Names
Krys'ko, V.
Krysʹko, V. 1937
Krysko, V. A.
Krysko, V. A. 1937
Krysʹko, V. (Vadim), 1937
Krys'ko, Vadim 1937
Krysko, Vadim A.
Krysko, Vadim A. 1937
Krysʹko, Vadim Anatolʹevič 1937...
Krysko, Vadim Anatolevich.
Krysʹko, Vadim Anatolʹevich 1937
Krysko, Wadim A.
V. A. Krys_ko
V. A. Krysʹko
Vadim Krysko
Крысько Вадим Анатольевич 1937....
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