This book presents a theoretical approach that allows the analysis of structures with magnetorheological and electrorheological layers, and shows, with the help of examples, how the mechanical behaviour of thin-walled laminated structures can be influenced. It consists of six chapters:

Chapter 1 presents a brief overview of derivation approaches for theories of thin-walled structures, modelling of composites and modelling of laminated and sandwich structures.

Chapter 2 describes the equivalent single layer model for thin laminated cylindrical shells, including the special cases of plates and beams. In addition to the classical mechanical properties, it also considers the electrorheological and magnetorheological properties.

Chapter 3 presents the elastic buckling of laminated beams, plates, and cylindrical shells, discussing various problems, such as the influence of the boundary conditions, external loading and magnetic fields. It also suggests different approximations for asymptotic methods. Chapter 4 focuses on the free vibrations of elastic laminated beams, plates and cylindrical shells, investigating the influence of the boundary conditions and other factors.

Chapter 5 presents the latest results concerning vibration of laminated structures composed of smart materials and discusses in detail the influence of electric and magnetic fields on smart structures. These results provide insights into the optimal design of these structures.

Lastly, Chapter 6 features a short appendix presenting asymptotic estimates and series.

Autorentext

Prof. Dr.-Ing.habil.Dr.h.c.mult Holm Altenbach, Member of the International Association of Applied Mathematics and Mechanics, and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy. Employment history includes positions at Otto-von-Guericke-University Magdeburg and at Martin Luther University Halle-Wittenberg, both Germany. Graduated from Leningrad Polytechnic Institute in 1985 (diploma in Dynamics and Strength of Machines). Defended PhD in 1983, awarded Doctor of technical sciences in 1987, both at the same Institute. Present position: Full Professor in Engineering Mechanics at the Otto-von-Guericke-University, Faculty of Mechanical Engineering, Institute of Mechanics (since 2011), acting director of the Institute of Mechanics since 2015

Areas of scientific interest:

• General theory of elastic and inelastic plates and shells.

• Creep and damage mechanics.

• Strength theories.

• Nano- and micromechanics.

Author/Co-author/Editor of 60 Books (textbooks/monographs/proceedings), appr. 380 scientific papers (among them 250 peer-reviewed) and 500 scientific lectures. Managing Editor (2004 to 2014) and Editor-in-Chief (2005 to date) of the Journal of Applied Mathematics and Mechanics (ZAMM) the oldest journal in Mechanics in Germany (founded by Richard von Mises in 1921), Advisory Editor of the journal Continuum Mechanics and Thermodynamics since 2011, Associate Editor of the journal Mechanics of Composites (Riga) since 2014, Co-Editor of the Springer Series Advanced Structured Materials since 2010.

Awards: 1992 Krupp-Award (Alexander von Humboldt-Foundation), 2000 Best paper of the year Journal of Strain Analysis for Engineering Design, 2003 Gold Medal of the Faculty of Mechanical Engineering, Politechnika Lubelska, Lublin, Poland, 2004 Semko-Medal of the National Technical University Kharkov, Ukraine, 2007 Doctor honoris causa, National Technical University Kharkov, Ukraine, 2011 Fellow of the Japanese Society for the Promotion of Science, 2014 Doctor honoris causa, University Constanta, Romania, 2016 Doctor honoris causa, Vekua-Institute, Tbilisi, Georgia, 2018 Alexander von Humboldt Award (Poland)

Inhalt

Two-Dimensional Theory of Composite Laminated Shells like Sandwich.- Buckling of Laminated Shells.- Free Vibrations of Viscoelastic Shells with Constant Physical Parameters.- Free and Forced Vibrations of Thin-Walled Laminated Structures with Adaptive Physical Properties.- Soft Suppression of Running Localized Vibrations in Laminated Magnetorheological Cylindrical Shells by Using Time-Dependent Magnetic Field.