Theory of Fractional Engineering Vibrations / / Ming Li.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Li, Ming,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: Fractional Calculus in Applied Sciences and Engineering , 9
• Physical Description: 1 online resource (XVI, 318 p.)

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.

Table of 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