Anton V. Krysko's Books

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels

By: Jan Awrejcewicz,Anton V. Krysko,Maxim V. Zhigalov,Vadim A. Krysko

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels

By: Jan Awrejcewicz,Anton V. Krysko,Maxim V. Zhigalov,Vadim A. Krysko

This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

419

Publisher

Springer Nature

Published Date

ISBN 10

3030559939

ISBN 13

9783030559939

Mathematical Models of Higher Orders

Shells in Temperature Fields

By: Vadim A. Krysko,Jan Awrejcewicz,Maxim V. Zhigalov,Valeriy F. Kirichenko,Anton V. Krysko

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Models of Higher Orders

Shells in Temperature Fields

By: Vadim A. Krysko,Jan Awrejcewicz,Maxim V. Zhigalov,Valeriy F. Kirichenko,Anton V. Krysko

This book offers a valuable methodological approach to the state-of-the-art 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 non-linear phenomena governed by PDEs.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

477

Publisher

Springer

Published Date

ISBN 10

3030047148

ISBN 13

9783030047146

Deterministic Chaos In One Dimensional Continuous Systems

By: Jan Awrejcewicz,Vadim A Krysko,Irina V Papkova,Anton V Krysko

Write a review Read reviews Take a Quiz Solve Book Puzzle

Deterministic Chaos In One Dimensional Continuous Systems

By: Jan Awrejcewicz,Vadim A Krysko,Irina V Papkova,Anton V Krysko

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 Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic 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, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate 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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

577

Publisher

World Scientific

Published Date

ISBN 10

9814719714

ISBN 13

9789814719711

Book's by Anton V. Krysko

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Mathematical Models of Higher Orders

Mathematical Models of Higher Orders

Deterministic Chaos In One Dimensional Continuous Systems

Deterministic Chaos In One Dimensional Continuous Systems

Username

Password

Username

Password

Password again

Birthday

Email