Modelling of Mechanical Systems: Structural Elements, Vol. 2

Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells. In a clear style and with a practical rather than theoretical approach, it shows how to model continuous systems in order to study vibration modes, motion and forces. Appendices give useful primers on aspects of the mathematics introduced in the book. Other volumes in the series cover discrete systems, fluid-structure interaction and flow-induced vibration.

* Axisa is a world authority in the modelling of systems
* Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations
* A key reference for mechanical engineers, researchers and graduate students in this cornerstone subject

The modelling of mechanical systems provides engineers and students with the methods to model and understand mechanical systems by using both mathematical and computer-based tools. Written by an eminent authority in the field, this is the second of four volumes which provide engineers with a comprehensive resource on this cornerstone mechanical engineering subject.

Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells. In a clear style and with a practical rather than theoretical approach, it shows how to model continuous systems in order to study vibration modes, motion and forces. Appendices give useful primers on aspects of the mathematics introduced in the book. Other volumes in the series cover discrete systems, fluid-structure interaction and flow-induced vibration.

Written by an eminent authority in the field, Modelling of Mechanical Systems: Structural Elements is the second in a series of four self-contained volumes suitable for practitioners, academics and students alike in engineering, physical sciences and applied mechanics. The series skilfully weaves a theoretical and pragmatic approach to modelling mechanical systems and to analysing the responses of these systems. The fundamental physical aspects and mathematical methods are presented as invaluable tools with which to approach real mechanical systems.

• Written by a world authority in the field in a clear, concise and accessible style
• Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations
• A key reference for mechanical engineers, researchers and graduate students

The study of continuous systems in this second volume covers the basic structural elements of beams, plates and shells. The book explores straight beam models of both the Newtonian approach and Hamilton’s principle; vibration modes of straight beams; in-plane motion and out-of-plane motion of plates; arches and shells: string and membrane forces, along with bent and twisted arches and shells.

François Axisa is Professor of Mechanical Engineering at ENSTA, France, and holds a research post in flow-induced vibration problems at Centre d’Etudes Nucleaires de Saclay, France. He is the author of more than 50 papers on vibrations, damping and associated subjects and has been involved in numerous international conferences and meetings.