Fundamentals Of Nanomechanical Resonators
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Fundamentals of Nanomechanical Resonators
Now in an updated second edition, this classroom-tested textbook introduces and summarizes the latest models and skills required to design and optimize nanomechanical resonators, taking a top-down approach that uses macroscopic formulas to model the devices. The authors cover the electrical and mechanical aspects of nanoelectromechanical system (NEMS) devices in six expanded and revised chapters on lumped-element model resonators, continuum mechanical resonators, damping, transduction, responsivity, and measurements and noise. The applied approach found in this book is appropriate for engineering students and researchers working with micro and nanomechanical resonators.
Foundations of Nanomechanics
Author: Andrew N. Cleland
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
Why write another book on mechanics? There are, after all, a number of excellent texts that describe in great detail the way classical solids behave when acted upon by static and time-varying forces; many of these are cited in this monograph. These texts treat solids as continuous objects, and quantum mechanics does not enter the discussion. Furthermore, the atomic nature of the solid is implicit, but does not enter in a central role. At the other end of the spectrum, texts on condensed matter physics focus on the quantum mechanical nature of the solid; these contain quite clear descriptions of acou stic waves in solids, describing their dynamic and thermal properties, and how they interact with electrons in the solid, but contain little information regarding bulk deformations. This text, focussing on the mechanics of very small objects, attempts to provide a link between these two approaches; in addition to describing the theories of both the classical and the quantum mechanical solid, I attempt to outline where the classical description breaks down, and quantum mechanics must be applied, to understand the behavior of a nanoscale object. I have tried to merge the continuum description of the solid with the atomic one, and to show how and where quantum mechanics plays a role, especially as the size scale of the system is reduced, making the quantized energy scale larger and the role of thermal vibrations more important.
Mathematical Methods in Dynamical Systems
The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.