Structural Stability and Vibration - An Integrated Introduction by Analytical and Numerical Methods

This book offers an integrated introduction to the topic of stability and vibration. Strikingly, it describes stability as a function of boundary conditions and eigenfrequency as a function of both boundary conditions and column force. Based on a post graduate course held by the author at the University of Southern Denmark, it reports on fundamental formulas and makes uses of graphical representation to promote understanding. Thanks to the emphasis put on analytical methods and numerical results, the book is meant to make students and engineers familiar with all fundamental equations and their derivation, thus stimulating them to write interactive and dynamic programs to analyze instability and vibrational modes.

List of contents

From the Content: Introduction.- Beam-column Differential Equation.- Eigen Solutions for the Euler Cases.- Beam-columns and Applied Berry Functions.

Summary

This book offers an integrated introduction to the topic of stability and vibration. Strikingly, it describes stability as a function of  boundary conditions and eigenfrequency as a function of both boundary conditions and column force. Based on a post graduate course held by the author at the University of Southern Denmark, it reports on fundamental formulas and makes uses of graphical representation to promote understanding. Thanks to the emphasis put on analytical methods and numerical results, the book is meant to make students and engineers familiar with all fundamental equations and their derivation, thus stimulating them to write interactive and dynamic programs to analyze instability and vibrational modes. 

Product details

• Authors: Pauli Pedersen, Sine Wiggers, Sine Leergaar Wiggers, Sine Leergaard Wiggers
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319727202
• ISBN: 978-3-31-972720-2
• No. of pages: 158
• Dimensions: 162 mm x 242 mm x 16 mm
• Weight: 414 g
• Illustrations: XVI, 158 p. 66 illus., 33 illus. in color.
• Series: Springer Tracts in Mechanical Engineering; Springer Tracts in Mechanical Engineering
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; B, Hochbau und Baustoffe, Mathematische Physik, Vibration, engineering, Civil Engineering, Dynamics, Physics, Theoretical, Mathematical and Computational Physics, Mechanics of solids, Mathematical physics, Dynamical systems, Numerical and Computational Physics, Simulation, Vibration, Dynamical Systems, Control, Mechanical Statics and Structures, Statics, Multibody Systems and Mechanical Vibrations, Buckling stresses, Newton-Raphson method, Green-Lagrange strain model, Discretized formulations