Damped Oscillations of Linear Systems

Damped Oscillations of Linear Systems

4.11 - 1251 ratings - Source



The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.1, 195a€“208 24. Godunov, S. V., Lectures on modern aspects of Linear Algebra ( Russian), N. Kniga (2002) 25. Godunov, S. V., Kiriljuk ... Inman, D. J., Vibration with Control Measurement and Stability, Prentice Hall (1989) 43. Jonsson, I., Kanbsp;...


Title:Damped Oscillations of Linear Systems
Author: Krešimir Veselić
Publisher:Springer Science & Business Media - 2011-07-09
ISBN-13:

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.

How it works:
  • 1. Register a free 1 month Trial Account.
  • 2. Download as many books as you like (Personal use)
  • 3. Cancel the membership at any time if not satisfied.


Click button below to register and download Ebook
Privacy Policy | Contact | DMCA