Vibrations of Elastic Systems
With Applications to MEMS and NEMS
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Beschreibung
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.
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.
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
Autor*in
Edward B. Magrab
Themen in »Vibrations of Elastic Systems«
Elastic systems Elastic systems Elastic systems Elastic systems Elastic systems Elastic systems MEMS MEMS MEMS MEMS MEMS MEMS Mode shapes Mode shapes Mode shapes