Adobe PDF
(3.24 MB)
| Title Details: | |
|
Autonomous mechanical systems of one degree of freedom |
|
| Authors: |
Vougiatzis, Georgios |
| Reviewer: |
Tsiganis, Kleomenis |
| Subject: | NATURAL SCIENCES AND AGRICULTURAL SCIENCES > PHYSICS > GENERAL PHYSICS > NONLINEAR DYNAMICAL SYSTEMS |
| Description: | |
| Abstract: |
This chapter begins the introduction to Nonlinear Systems with simple mechanical systems of one degree of freedom described by a potential. Thus, their study is based on the integral of energy. It includes:
Linear cases (harmonic oscillator and repulsive force)
Equilibrium points and linear stability
The potential function, the energy integral, and analytical solutions
Limits of motion and nonlinear oscillations, and the calculation of periods
Phase space and phase diagrams
The effect of damping forces - dissipative systems
Examples and applications
|
| Table of Contents: |
1. Εξισώσεις και γενικά χαρακτηριστικά
2. Γραμμικές περιπτώσεις 3. Διατηρητικά συστήματα και δυναμική 4. Το απλό εκκρεμές 5. Απωλεστικά συστήματα |
| Technical Editors: |
Koumartzis, Nikolaos Sfyrakis, Chrysovalantis |
| Graphic Editors: |
Koumartzis, Nikolaos |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| Handle | http://hdl.handle.net/11419/1791 |
| Bibliographic Reference: | Vougiatzis, G. (2015). Autonomous mechanical systems of one degree of freedom [Chapter]. In Vougiatzis, G., & Meletlidou, E. 2015. Introduction to Non-Linear Dynamical Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1791 |
| Language: |
Greek |
| Consists of: |
1. Απλο εκκρεμμές - Λίκνιση 2. Απλο εκκρεμμές - Περιστροφή 3. Απλο εκκρεμμές - Διαχωριστική καμπύλη |
| Is Part of: |
Introduction to Non-Linear Dynamical Systems |
| Number of pages |
38 |
| Publication Origin: |
Kallipos, Open Academic Editions |