The non-similar normal modes of free oscillations of a coupled non-linear oscillator are examined. So far, the study of non-linear vibrations has been based on the assumption that the system is admissible. This requirement is satis"ed when the sti!ness of the springs are odd functions of their displ
Comments on “Normal modes of a continuous system with quadratic and cubic non-linearities”
✍ Scribed by P.A.A. Laura; E.D. Alberdi
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 143 KB
- Volume
- 272
- Category
- Article
- ISSN
- 0022-460X
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📜 SIMILAR VOLUMES
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
I have read the paper by Lacarbonara [1]. The author did a good job. To clarify some of the issues, additional comments are given. First of all, the non-linear operator notation used throughout the text [1] has been previously developed and used in a number of papers [2}7]. When I was working with