Vibrations of elastic systems : with applications to MEMS and NEMS
This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures. Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, v...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Serier: | Solid Mechanics and Its Applications
184 |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Vibrations of Elastic Systems, Texte imprimé, 9789400795259 • Vibrations of Elastic Systems, Texte imprimé, 9789400726734 • Vibrations of Elastic Systems, Texte imprimé, 9789400726710 |
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| 100 | 1 | |a Magrab, Edward B. | |
| 245 | 1 | 0 | |a Vibrations of elastic systems : |b with applications to MEMS and NEMS |c by Edward B. Magrab. |
| 256 | |a Données textuelles | ||
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Solid Mechanics and Its Applications |v 184 |x 2214-7764 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 1 Introduction 1.1 A Brief Historical Perspective 1.2 Importance of Vibrations 1.3 Analysis of Vibrating Systems 1.4 About the Book 2 Spring-Mass Systems 2.1 Introduction 2.2 Some Preliminaries 2.2.1 A Brief Review of Single Degree-of-Freedom Systems 2.2.2 General Solution: Harmonically Varying Forcing 2.2.3 Power Dissipated by a Viscous Damper 2.2.4 Structural Damping 2.3 Squeeze Film Air Damping 2.3.1 Introduction 2.3.2 Rectangular Plates 2.3.3 Circular Plates 2.3.4 Base Excitation with Squeeze Film Damping 2.3.5 Time-Varying Force Excitation of the Mass 2.4 Viscous Fluid Damping 2.4.1 Introduction 2.4.2 Single Degree-of-Freedom System in a Viscous Fluid 2.5 Electrostatic and van der Waals Attraction 2.5.1 Introduction 2.5.2 Single Degree-of-Freedom with Electrostatic Attraction 2.5.3 van der Waals Attraction and Atomic Force Microscopy 2.6 Energy Harvesters 2.6.1 Introduction 2.6.2 Piezoelectric Generator 2.6.3 Maximum Average Power of a Piezoelectric Generator 2.6.4 Permanent Magnet Generator 2.6.5 Maximum Average Power of a Permanent Magnet Generator 2.7 Two Degree-of-Freedom Systems 2.7.1 Introduction 2.7.2 Harmonic Excitation: Natural Frequencies and Frequency Response Functions 2.7.3 Enhanced Energy Harvester 2.7.4 MEMS Filters 2.7.5 Time-Domain Response 2.7.6 Design of an Atomic Force Microscope Motion Scanner Appendix 2.1 Forces on a Submerged Vibrating Cylinder 3 Thin Beams: Part I 3.1 Introduction 3.2 Derivation of Governing Equation and Boundary Conditions 3.2.1 Contributions to the Total Energy 3.2.2 Governing Equation 3.2.3 Boundary Conditions 3.2.4 Non Dimensional Form of the Governing Equation and Boundary Conditions 3.3 Natural Frequencies and Mode Shapes of Beams with Constant Cross Section and with Attachments 3.3.1 Introduction 3.3.2 Solution for Very General Boundary Conditions 3.3.3 General Solution in the Absence of an Axial Force and an Elastic Foundation 3.3.4 Numerical Results | |
| 520 | |a This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures. Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, viscous fluid loading, in-plane forces, and proof mass interactions with their elastic supports. These effects are analyzed as single degree-of-freedom models and as more realistic elastic structures. The governing equations and boundary conditions for beams, plates, and shells with interior and boundary attachments are derived by applying variational calculus to an expression describing the energy of the system. The advantages of this approach regarding the generation of orthogonal functions and the Rayleigh-Ritz method are demonstrated. A large number of graphs and tables are given to show the impact of various factors on the systems natural frequencies, mode shapes, and responses | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 776 | 0 | |t Vibrations of Elastic Systems |b Texte imprimé |z 9789400795259 | |
| 776 | 0 | |t Vibrations of Elastic Systems |b Texte imprimé |z 9789400726734 | |
| 776 | 0 | |t Vibrations of Elastic Systems |b Texte imprimé |z 9789400726710 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-94-007-2672-7 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5K20NFTZ-B |z Accès sur la plateforme Istex | |
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