عنوان

Harmonic balance for nonlinear vibration problems /

(Number (ISBN

3030140237

(Number (ISBN

3030140245

(Number (ISBN

3030140253

(Number (ISBN

9783030140236

(Number (ISBN

9783030140243

(Number (ISBN

9783030140250

Erroneous ISBN

3030140229

Erroneous ISBN

9783030140229

Title Proper

Harmonic balance for nonlinear vibration problems /

General Material Designation

[Book]

First Statement of Responsibility

Malte Krack and Johann Gross.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource :

Other Physical Details

illustrations

Series Title

Mathematical engineering

Text of Note

Includes bibliographical references.

Text of Note

Intro; Preface; References; Contents; Symbols and Abbreviations; 1 Introduction; 1.1 What Can Harmonic Balance Do?; 1.2 Example: Duffing Oscillator; 1.3 Scope and Outline of This Book; References; 2 Theory of Harmonic Balance; 2.1 Fourier Analysis; 2.2 The Periodic Boundary Value Problem; 2.3 Weighted Residual Approaches; 2.4 Harmonic Balance and Other Fourier Methods; References; 3 Application to Mechanical Systems; 3.1 Range of Utility of Harmonic Balance; 3.2 Harmonic Balance Equations; 3.3 Treatment of Nonlinear Forces; 3.4 Selection of the Harmonic Truncation Order

Text of Note

3.5 Why is Harmonic Balance Faster than Numerical Integration?3.6 Stability Analysis; 3.7 Quasi-periodic Oscillations; 3.8 Brief Historical Perspective; 3.9 Current Challenges; References; 4 Solving the Harmonic Balance Equations; 4.1 Problem Statement; 4.2 Solution Strategies; 4.3 Computing a Solution Point Near a Good Initial Guess; 4.4 Computing a Branch of Solution Points; 4.5 Finding a Good Initial Guess; 4.6 Handling of Branching Points and Isolated Branches; References; 5 Solved Exercises and Homework Problems; References; A Topelitz Structure of the Jacobian

0

8

Text of Note

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030140236

Title

Harmonic balance for nonlinear vibration problems.

International Standard Book Number

9783030140229

Differential equations, Nonlinear.

Nonlinear mechanics.

Vibration-- Mathematical models.

Differential equations, Nonlinear.

Nonlinear mechanics.

SCIENCE-- Mechanics-- General.

SCIENCE-- Mechanics-- Solids.

Vibration-- Mathematical models.

SCI-- 041000

SCI-- 096000

TBJ

TBJ

Number

Edition

Class number

Krack, Malte

Gross, Johann

Date of Transaction

20200823083426.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y