LEADER 02916nam 2200481 450 001 9910554274403321 005 20231110233517.0 010 $a1-5231-5320-2 010 $a3-11-072615-7 024 7 $a10.1515/9783110726152 035 $a(CKB)4100000011789040 035 $a(DE-B1597)571846 035 $a(OCoLC)1241451190 035 $a(DE-B1597)9783110726152 035 $a(MiAaPQ)EBC6510068 035 $a(Au-PeEL)EBL6510068 035 $a(EXLCZ)994100000011789040 100 $a20211005d2021 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of fractional engineering vibrations /$fMing Li 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2021] 210 4$dİ2021 215 $a1 online resource (XVI, 318 p.) 225 0 $aFractional Calculus in Applied Sciences and Engineering ;$v9 311 $a3-11-072652-1 327 $tFrontmatter -- $tPreface -- $tAcknowledgment -- $tContents -- $t1 The basic theory of harmonic vibrations -- $t2 Vibrations driven by deterministic forces -- $t3 Fourier transform and spectra -- $t4 Responses driven by deterministically aperiodic forces -- $t5 Vibrations with multiple degrees-of-freedom -- $t6 Vibrations of distributed systems -- $t7 Six classes of fractional vibrations -- $t8 Fractional vibrators of class I -- $t9 Fractional vibrators of class II -- $t10 Fractional vibrators of class III -- $t11 Fractional vibrators of class IV -- $t12 Fractional vibrators of class V -- $t13 Fractional vibrators of class VI -- $t14 Mathematical explanation of Rayleigh damping assumption -- $t15 Mass -- $t16 Postscript -- $tA Appendices -- $tIndex 330 $aVibration is important subject in many fields, ranging from mechanical engineering to electronic one. This book aims at giving a combination of conventional linear vibrations with recent fractional ones from a view of engineering. It consists of two parts. One is for conventional linear vibrations in Chapters 1 - 6 based on the authors lectures on the course of ship hull vibrations for undergraduates and postgraduates in Ocean College, Zhejiang University, China. The other, Chapters 7 - 15, contains his research in fractional vibrations. the book is suitable for researchers and graduate students in science and engieering. Preferred preliminaries are calculus, university physics, theoretic mechanics, and material mechanics for readers. 410 0$aFractional Calculus in Applied Sciences and Engineering 606 $aVibration$xMathematical models 615 0$aVibration$xMathematical models. 676 $a620.11248 700 $aLi$b Ming$0346685 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554274403321 996 $aTheory of fractional engineering vibrations$92819783 997 $aUNINA