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...

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Détails bibliographiques
Auteur principal: Magrab, Edward B.
Format: Livre numérique
Langue:Anglais
Publié: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Collection:Solid Mechanics and Its Applications 184
Accès en ligne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Note: 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
Table des matières:
  • 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