Mechanical Behavior and Vibration of Nano-Scaled Rods, Beams, and Frames

This book discusses how the tiniest building blocks—structures thousands of times thinner than a human hair—behave 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.

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 Numanoğlu, 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. Numanoğlu’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.