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Analytical dynamics of nonlinear rotors

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytical dynamics of nonlinear rotorsby Yeyin Xu, Jianzhe Huang, Albert C. J. Luo.
Author:	Xu, Yeyin.
other author:	Huang, Jianzhe.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	x, 176 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Aerospace engineering.
Online resource:	https://doi.org/10.1007/978-981-96-1329-8
ISBN:	9789819613298$q(electronic bk.)

Analytical dynamics of nonlinear rotors
Xu, Yeyin.

Analytical dynamics of nonlinear rotors[electronic resource] /by Yeyin Xu, Jianzhe Huang, Albert C. J. Luo. - Singapore :Springer Nature Singapore :2025. - x, 176 p. :ill., digital ;24 cm. - Nonlinear physical science,1867-8459. - Nonlinear physical science..

Introduction -- Analytical Methods for Periodic Motions -- Periodic Solutions for Buckled Nonlinear Jeffcott Rotors -- Semi-analytic Solutions of Periodic Motions in Nonlinear Jeffcott Rotors -- Modeling for Journal Bearing Rotors.

This book is a monograph about the analytical dynamics of nonlinear rotor systems. The analytical solutions of periodic motions in nonlinear rotor systems are presented in this book. To help one understand the analytical solutions, the generalized harmonic balance method for periodic motions in polynomial nonlinear systems is briefly reviewed first, and then the semi-analytical method for periodic motions in any nonlinear systems is presented briefly too, which is also called the implicit mapping method. Such two analytical methods are employed to determine the solutions of periodic motions in nonlinear rotor systems. The analytical expressions of periodic motions to chaos for nonlinear rotor systems are presented, and the frequency-amplitude characteristics of nonlinear rotor systems are discussed. In addition, the accurate modeling of nonlinear rotors with oil films is presented, and the periodic motions of such fully nonlinear oil-film rotor systems are developed through the semi-analytical method. This book provides a better understanding of frequency-amplitude characteristics in nonlinear rotor systems. The methodology presented in this book can help one study complicated nonlinear rotor systems.

ISBN: 9789819613298$q(electronic bk.)

Standard No.: 10.1007/978-981-96-1329-8doiSubjects--Topical Terms:

324294
Aerospace engineering.

LC Class. No.: TL870

Dewey Class. No.: 629.1

Analytical dynamics of nonlinear rotors
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520 $a This book is a monograph about the analytical dynamics of nonlinear rotor systems. The analytical solutions of periodic motions in nonlinear rotor systems are presented in this book. To help one understand the analytical solutions, the generalized harmonic balance method for periodic motions in polynomial nonlinear systems is briefly reviewed first, and then the semi-analytical method for periodic motions in any nonlinear systems is presented briefly too, which is also called the implicit mapping method. Such two analytical methods are employed to determine the solutions of periodic motions in nonlinear rotor systems. The analytical expressions of periodic motions to chaos for nonlinear rotor systems are presented, and the frequency-amplitude characteristics of nonlinear rotor systems are discussed. In addition, the accurate modeling of nonlinear rotors with oil films is presented, and the periodic motions of such fully nonlinear oil-film rotor systems are developed through the semi-analytical method. This book provides a better understanding of frequency-amplitude characteristics in nonlinear rotor systems. The methodology presented in this book can help one study complicated nonlinear rotor systems.
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