Theory of fractional engineering vibrations / Ming Li.

Format:

Book

Author/Creator:

Li, Ming, author.

Series:

Fractional Calculus in Applied Sciences and Engineering

Fractional Calculus in Applied Sciences and Engineering ; 9

Language:

English

Subjects (All):

Vibration--Mathematical models.

Vibration.

Physical Description:

1 online resource (XVI, 318 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2021]

Language Note:

In English.

Summary:

Vibration is important subject in many fields, ranging from mechanical engineering to electronic one. This book aims at giving a combination of conventional linear vibrations with recent fractional ones from a view of engineering. It consists of two parts. One is for conventional linear vibrations in Chapters 1 - 6 based on the authors lectures on the course of ship hull vibrations for undergraduates and postgraduates in Ocean College, Zhejiang University, China. The other, Chapters 7 - 15, contains his research in fractional vibrations. the book is suitable for researchers and graduate students in science and engieering. Preferred preliminaries are calculus, university physics, theoretic mechanics, and material mechanics for readers.

Contents:

Frontmatter

Preface

Acknowledgment

Contents

1 The basic theory of harmonic vibrations

2 Vibrations driven by deterministic forces

3 Fourier transform and spectra

4 Responses driven by deterministically aperiodic forces

5 Vibrations with multiple degrees-of-freedom

6 Vibrations of distributed systems

7 Six classes of fractional vibrations

8 Fractional vibrators of class I

9 Fractional vibrators of class II

10 Fractional vibrators of class III

11 Fractional vibrators of class IV

12 Fractional vibrators of class V

13 Fractional vibrators of class VI

14 Mathematical explanation of Rayleigh damping assumption

15 Mass

16 Postscript

A Appendices

Index

Notes:

Description based on print version record.

ISBN:

1-5231-5320-2

3-11-072615-7

OCLC:

1241451190