Journal article
Generalized Lagrangian and conservation law for the damped harmonic oscillator
American journal of physics, v 49(11), pp 1062-1065
Nov 1981
Abstract
An explicit construction of the time‐dependent Lagrangian for a damped harmonic oscillator is given. The connection between this Lagrangian with the time‐independent one developed by Morse and Feshbach is established. Various methods of deriving a first integral for the equation of motion are given. It is shown that the results developed in this paper by direct means are in agreement with those obtained through the use of group‐theoretic methods, such as invariance principles and Noether’s theorem, which are mathematically more advanced approaches.
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Details
- Title
- Generalized Lagrangian and conservation law for the damped harmonic oscillator
- Creators
- Leon Y. Bahar - Drexel UniversityHarry G. Kwatny - Drexel UniversityDrexel Univ., Philadelphia, PA
- Publication Details
- American journal of physics, v 49(11), pp 1062-1065
- Number of pages
- 4
- Resource Type
- Journal article
- Academic Unit
- [Retired Faculty]; Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1981MQ08100012
- Scopus ID
- 2-s2.0-0042700251
- Other Identifier
- 991019173699104721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Education, Scientific Disciplines
- Physics, Multidisciplinary