This book discusses how the tiniest building blocksstructures thousands of times thinner than a human hairbehave when used in the most advanced technology, such as computer chips, medical robots, and high-precision sensors. At such small sizes, the laws of physics change, so scientists need new methods to predict how these parts will move, bend, and vibrate. The authors explain, in accessible language, how researchers study, analyze, and design these nano-scale parts to make future technologies more powerful and reliable. This book addresses the urgent need for knowledge in the expanding field of nanotechnology, which is shaping everything from healthcare to electronics. In addition, the book blends essential theory and innovative application, guiding engineers and researchers through the latest advances in nonlocal elasticity, vibration modeling, and computational techniques necessary for the design of next-generation NEMS and MEMS. Practical, clear, and up-to-date, this book is an indispensable reference for anyone working at the intersection of engineering, physics, and nanotechnology.

Integrates analytical and computational approaches specifically for nonlocal elasticity applied to nano-scale vibration Presents nonlocal vibration theory with comprehensive practical examples using the nonlocal finite element method Details nanorods, nanobeams, nanotrusses, and nanoframes and includes solved problems and boundary condition discussions

Autorentext

Ömer Civalek, Ph.D, is a **** Professor in the Department of Civil Engineering at University of Akdeniz, Turkey. He has authored approximately 375 peer reviewed journal papers, over 50 papers presented at various conferences, a few book chapters, and over 150 papers in various international or national journals. His research interests include continuum mechanics, solid mechanics, nano-scaled mechanics, vibration and buckling of plates and shells, computational mechanics, advanced composites, biomedical analysis, and biomechanics. Dr. Civalek also has been a Visiting Professor at the China Medical University in Taichung-Taiwan since 2019.

Hayri Metin Numanolu, Ph.D., **** is an Assistant Professor at Giresun University, Turkey. He received his B.Sc., M.Sc., and Ph.D. degrees from Akdeniz University in 2017, 2019, and 2024, respectively. He has authored several articles in peer-reviewed journals and presented his work at international conferences. Dr. Numanolu's research interests include structural dynamics and stability, atomic-scale dependent solid mechanics, mechanics of composite structures, and numerical solution methods. He is also involved in academic projects focusing on advanced computational methods in structural mechanics and contributes as a reviewer for scientific journals in the field.

Subrat Kumar Jena, Ph.D., is a Postdoctoral Researcher in the Department of Civil, Environmental Engineering, and Architecture (DICAAR) at the University of Cagliari, Italy. Previously, he was an Institute Postdoctoral Fellow in the Department of Applied Mechanics at the Indian Institute of Technology (IIT) Delhi and an Honorary Postdoctoral Fellow at the NMCAD Laboratory, Indian Institute of Science (IISc) Bengaluru, India. He earned his Ph.D. in Applied Mathematics from the National Institute of Technology (NIT) Rourkela, India. His research interests lie in the areas of computational solid mechanics, applied mathematics, mathematical modeling, and uncertainty quantification.

Inhalt

Introduction and Basic Concepts.- Axial Vibration of Nonlocal Nanorods.- Torsional Vibration of Nonlocal Shafts.- Transverse Vibration of Nonlocal Beams.- Introduction to the Finite Element Method.- Applications of NL-FEM for Nanorods.- Applications of NL-FEM for Nanobeams.- Vibration of Discrete Structures: Nanotrusses and Nanoframes.