A power series method is presented for the computation of normal modes and frequencies of an elastic beam resting on a non-linear foundation. The equation of motion is first discretized by using the Galerkin procedure. The time-dependent generalized co-ordinates are obtained by transforming the time
Normal modes of a model radiating system
โ Scribed by Kostas D. Kokkotas; Bernard F. Schutz
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 387 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0001-7701
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๐ SIMILAR VOLUMES
A method based on the power series technique is developed for the computation of normal modes and frequencies of a non-linear conservative lumped parameter system. The power series analysis is facilitated upon transforming the time variable into an harmonically oscillating time. Recurrence relations
## Abstract The present paper is concerned with an asymptotics of a solution to the model system of radiating gas. The previous researches have shown that the solution converges to a travelling wave with a rate (1 + __t__)^โ1/4^ as time __t__ tends to infinity provided that an initial data is given