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Mathematical modelling and numerical...

Awrejcewicz, Jan.

Mathematical modelling and numerical analysis of size-dependent structural members in temperature fieldsregular and chaotic dynamics of micro/nano beams, and cylindrical panels /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modelling and numerical analysis of size-dependent structural members in temperature fieldsby Jan Awrejcewicz ... [et al.].
Reminder of title:	regular and chaotic dynamics of micro/nano beams, and cylindrical panels /
other author:	Awrejcewicz, Jan.
Published:	Cham :Springer International Publishing :2021.
Description:	xxi, 402 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear mechanics.
Online resource:	https://doi.org/10.1007/978-3-030-55993-9
ISBN:	9783030559939$q(electronic bk.)

Mathematical modelling and numerical analysis of size-dependent structural members in temperature fieldsregular and chaotic dynamics of micro/nano beams, and cylindrical panels /
Mathematical modelling and numerical analysis of size-dependent structural members in temperature fieldsregular and chaotic dynamics of micro/nano beams, and cylindrical panels /[electronic resource] :by Jan Awrejcewicz ... [et al.]. - Cham :Springer International Publishing :2021. - xxi, 402 p. :ill., digital ;24 cm. - Advanced structured materials,v.1421869-8433 ;. - Advanced structured materials ;v.13..

Nano-Structural Members in Various Fields, Literature Review -- Size-Dependent Theories of Beams, Plates and Shells -- Lyapunov Exponents and Methods of Their Analysis -- Reliability of Chaotic Vibrations of Euler-Bernoulli Beams with Clearance -- Analysis of Simple Nonlinear Dynamical Systems -- Mathematical Models of Micro- and Nano-Cylindrical Panels in Temperature Field -- Mathematical Models of Functionally Graded Beams in Temperature Field -- Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory) -- Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field.

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.

ISBN: 9783030559939$q(electronic bk.)

Standard No.: 10.1007/978-3-030-55993-9doiSubjects--Topical Terms:

190487
Nonlinear mechanics.

LC Class. No.: QA808

Dewey Class. No.: 515.19

Mathematical modelling and numerical analysis of size-dependent structural members in temperature fieldsregular and chaotic dynamics of micro/nano beams, and cylindrical panels /
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520 $a 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.
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