LEADER 04718nam 22007335 450 001 9910619280303321 005 20251009103012.0 010 $a981-19-4371-0 024 7 $a10.1007/978-981-19-4371-3 035 $a(MiAaPQ)EBC7118633 035 $a(Au-PeEL)EBL7118633 035 $a(CKB)25171056500041 035 $a(PPN)265861942 035 $a(DE-He213)978-981-19-4371-3 035 $a(OCoLC)1348285748 035 $a(EXLCZ)9925171056500041 100 $a20221017d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamic Equivalent Modeling of Acoustic Metamaterials $eSolving Problem of Noise and Vibration /$fby Nansha Gao, Jie Deng 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (185 pages) 225 1 $aPhysics and Astronomy Series 311 08$aPrint version: Gao, Nansha Dynamic Equivalent Modeling of Acoustic Metamaterials Singapore : Springer,c2022 9789811943706 320 $aIncludes bibliographical references. 327 $aChapter 1. Introduction -- Chapter 2. Basic theory of acoustic metamaterials and dynamic equivalent inverse problem solving theory -- Chapter 3. Theoretical model for solving inverse problem of dynamic equivalent medium of periodic beam and bar structures -- Chapter 4. Theoretical model for inverse problem solving of dynamic equivalent medium of periodic thin plate structures -- Chapter 5. Study on vibration characteristics of gradient bar based on dynamic equivalent medium inverse problem solving theoretical model -- Chapter 6. Study on low-frequency band gap mechanism of multi-layer slit tube structure based on acoustoelectric analog equivalent model. 330 $aThis book derives physical models from basic principles, studies the effect of equivalent models on the dynamic characteristics of phononic crystals and acoustic metamaterials, and analyzes the physical mechanisms behind vibration and noise reduction. It first summarizes the research status of vibration and noise reduction, and research progress in phononic crystals and acoustic metamaterials. Based on this, one-dimensional periodic beam, two-dimensional thin plate with circular hole, and corresponding gradient structures are introduced, and their dynamic characteristics are discussed in detail. Therefore, different equivalent methods for different models are proposed through theoretical analysis, modal analysis and transmission rate analysis. Finally, a Helmholtz-type acoustic metamaterial, i.e. a multi-layer slotted tube acoustic metamaterial, is studied. Aiming at the low-frequency band gap of this model, a theoretical model for solving the inverse problem of acousto-electric analogue equivalent is proposed, and the effect of structural parameters on the low-frequency band gap is studied using this equivalent model. This book closely revolves around how to conduct equivalent research on artificially fabricated periodic structures. The methods and conclusions presented in this book provide a new theoretical basis for the application of artificial woven periodic structures in the field of low-frequency vibration reduction and noise reduction and are also an innovation in the discipline of vibration and noise control. This book is suitable for undergraduate students, graduate students and teachers in vibration and noise majors in universities, and can also provide references for engineering and technical personnel in related fields. . 410 0$aPhysics and Astronomy Series 606 $aAcoustics 606 $aMetamaterials 606 $aNoise control 606 $aMathematical physics 606 $aComputer simulation 606 $aArchitectural acoustics 606 $aAcoustics 606 $aMetamaterials 606 $aNoise Control 606 $aComputational Physics and Simulations 606 $aArchitectural Acoustics 615 0$aAcoustics. 615 0$aMetamaterials. 615 0$aNoise control. 615 0$aMathematical physics. 615 0$aComputer simulation. 615 0$aArchitectural acoustics. 615 14$aAcoustics. 615 24$aMetamaterials. 615 24$aNoise Control. 615 24$aComputational Physics and Simulations. 615 24$aArchitectural Acoustics. 676 $a700 700 $aGao$b Nansha$01262939 702 $aDeng$b Jie 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910619280303321 996 $aDynamic equivalent modeling of acoustic metamaterials$93041730 997 $aUNINA