Characterization of damped linear dynamical systems in free motion
| Autor: | Matthias Morzfeld, Fai Ma, Daniel T. Kawano |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Physics
Damping ratio Control and Optimization Algebra and Number Theory viscous damping Numerical and Computational Mathematics Differential equation Applied Mathematics Mathematical analysis Linear system Linear systems Function (mathematics) Phase synchronization modal analysis Linear dynamical system Maxima and minima decoupling phase synchronization Control theory Scalar field |
| Zdroj: | Morzfeld, M; Kawano, DT; & Ma, F. (2013). Characterization of damped linear dynamical systems in free motion. Numerical Algebra, Control and Optimization, 3(1), 49-62. doi: 10.3934/naco.2013.3.49. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/3rr4200h Numerical Algebra, Control and Optimization, vol 3, iss 1 Numerical Algebra Control and Optimization, vol 3, iss 1 |
| DOI: | 10.3934/naco.2013.3.49. |
| Popis: | It is well known that the free motion of a single-degree-of-freedom damped linear dynamical system can be characterized as overdamped, underdamped, or critically damped. Using the methodology of phase synchronization, which transforms any system of linear second-order differential equations into independent second-order equations, this characterization of free motion is generalized to multi-degree-of-freedom damped linear systems. A real scalar function, termed the viscous damping function, is introduced as an extension of the classical damping ratio. It is demonstrated that the free motion of a multi-degree-of-freedom system is characterized by its viscous damping function, and sometimes the characterization may be conducted with ease by examining the extrema of the viscous damping function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|