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Vibrations of elastic systems, 2012 With Applications to MEMS and NEMS Solid Mechanics and Its Applications Series, Vol. 184

Langue : Anglais

Auteur :

Couverture de l’ouvrage Vibrations of elastic systems
This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures.
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.-  3.3.5 Cantilever Beam as a Biosensor.-  3.4 Single Degree-of-Freedom Approximation of Beams with a Concentrated Mass.-  3.5 Beams with In-Span Spring-Mass Systems .-  3.5.1 Single Degree-of-Freedom System.-  3.5.2 Two Degree-of-Freedom System with Translation and Rotation.-  3.6 Effects of an Axial Force and an Elastic Foundation on the Natural Frequency.-  3.7 Beams with a Rigid Extended Mass.-  3.7.1 Introduction.-  3.7.2 Cantilever Beam with a Rigid Extended Mass.-  3.7.3 Beam with an In-span Rigid Extended Mass.-  3.8 Beams with Variable Cross Section.-  3.8.1 Introduction.-  3.8.2 Continuously Changing Cross Section.-  3.8.3 Linear Taper.-  3.8.4 Exponential Taper.-  3.8.5 Approximate Solution to Tapered Beams: Rayleigh-Ritz Method.-  3.8.6 Triangular Taper: Application to Atomic Force Microscopy.-  3.8.7 Constant Cross Section with a Step Change in Properties.-  3.8.8 Stepped Beam with an In-Span Rigid Support.-  3.9 Elastically Connected Beams.-  3.9.1 Introduction.-  3.9.2 Beams Connected by a Continuous Elastic Spring.-  3.9.3 Beams with Concentrated Masses Connected by an Elastic Spring.-  3.10 Forced Excitation.-  3.10.1 Boundary Conditions and the Generation of Orthogonal Functions.-  3.10.2 General Solution.-  3.10.3 Impulse Response.-  3.10.4 Time-Dependent Boundary Excitation.-  3.10.5 Forced Harmonic Oscillations.-  3.10.6 Harmonic Boundary Excitation.-  4 Thin Beams: Part II .-  4.1 Introduction.-  4.2 Damping.-  4.2.1 Generation of Governing Equation.-  4.2.2 General

Employs a systematic and consistent approach to the development of the subject

Presents new analytical and numerical results

Can be used as a design guide to determine the impact of parameter choices on system characteristics

Can be used as a reference for quickly finding governing equations for beams, plates, and shells subject to a wide combination of boundary conditions

Date de parution :

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

316,49 €

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