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Oscillations are present in almost every field of physics and engineering. Oscillations, written as a reference book for engineers and physicists, this book explores the relation between dynamic atomic force microscopy (AFM) and oscillation theory. Currently, available books on oscillation theory are only partially suitable to study atomic force microscopy. For this reason, our book, a first of its kind, provides the general and foundational concepts of oscillations with a focus on AFM and implementations. Oscillations are present in almost every field of physics and engineering and can be found in a plethora of fields from economics to biology. The theory of oscillations is also fundamental in the field of AFM - imaging at the nanoscale level. There have been many novel developments in AFM contributing to areas in metrology, rheology, mechanics of cells and biomedicine and this book serves as a good general introduction to understand the mechanics of the instrument. The book is divided into two parts: Part 1 (chapters 1-4) provides an in-depth overview of the theory of linear oscillations. Part 2 (chapters 5-8) deals with the non-linear theory and covers more complex mathematics and advances in the field of AFM. In summary, because of its layout, this text can be used as a general introduction to oscillation theory or as an introduction to dynamic AFM.
Matteo Chiesa is the head of the LENS (Laboratory for Nano Science) at Khalifa University. He is also professor with the Arctic University of Norway UIT. His research focuses on the creation and implementation of technologies necessary to adapt the current energy system into a more sustainable, competitive and secure one, in particular the use of properly designed nano in solar energy systems. Prof. Chiesa's 15-years-long research efforts have been pivotal for Masdar in achieving photovoltaic projects promising electricity at record-low prices. With PPA (power purchase agreement) bids reaching as low as 1.35c/kWh, this surge of ultra-cheap installations marks a major milestone for PV technologies. In terms of scholarly contribution, Prof. Chiesa has built a dynamic team that is recognized by his community for consistently attempting the enhancement of the AFM (Atomic Force Microscopy) capability.
Sergio Santos is an author in science and law. When the theme for the book was first conceived, he was a Postdoctoral Research Fellow at UiT (2019-2022), Norway. S Santos has over a decade of experience in nanoscale science and technology. He is a specialist in dynamic AFM methods. He got his PhD from Leeds University in 2011 on the topic of AFM imaging of macromolecules on surfaces in air.
Tuza Olukan is a Postdoctoral Research Fellow at UiT, Norway. He holds a doctorate degree in Material Science and Nanotechnology Engineering under the MIT/MI Collaborative Program at the Khalifa University. His scientific interests rest on the deployment of cutting-edge solutions in addressing scientific and technological challenges with an emphasis on low-cost, sustainable, and, locally sourced materials and resources. His current research effort is geared towards adopting multidisciplinary strategies in the decarbonization, decentralization, and digitalization of the electricity sector especially in remote regions of the world and the Global South countries in general.
Lamiaa Elsherbiny is a PhD student in the Laboratory of Energy of Nanoscience (LENS) group in Khalifa University. She received her Bachelor in sustainable and renewable energy engineering at University of Sharjah. Her work at UoS consisted of modelling the optical properties of Dye Sensitized Solar Cells (DSSC). She received her master's degree in mechanical engineering at Khalifa University studying the forecasting performance of different machine learning algorithms of photovoltaic generation in Abu Dhabi. She is currently pursuing her PhD. degree in engineering by studying the impact of quantifying interaction forces on tuning the properties of surfaces using experimental and analytical methods.
Preface
Acknowledgements
Author biography
Symbols
Part I: Linear theory and applications in AFM
1 Introduction
2 Model description
3 Energy
4 The driven oscillator
Part II: Nonlinear theory and applications in AFM
5 Nonlinearities and the driven oscillator
6 The cantilever and tip-sample system in AFM
7 Expanding the expressions of energy dissipation and virial
8 Nonlinear amplitude decay, frequency shift and transfer function
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