A higher order approximation for non-linear normal modes in two degree of freedom systems
β Scribed by Richard H. Rand
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 157 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0020-7462
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π SIMILAR VOLUMES
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
A power-series method is presented for the analysis of a conservative strongly non-linear two-degree-of-freedom (d.o.f.) system with cubic non-linearity. The method is based on transforming the time variable into an harmonically oscillating time whereby the governing di!erential equations become wel
A modified Lindstedt-PoincareΒ΄(L-P) method for extending the validity of perturbation expansions to strongly non-linear oscillations of two-degree-of-freedom (DOF) systems is presented. A parameter transformation a = a (o, v0, v1) is adopted such that a strongly non-linear system with a large parame
The non-linear response of a T-shaped beam}mass structure is investigated theoretically and experimentally for the case of one-to-two internal resonance and principal parametric resonance of the lower mode. The method of multiple scales is used to determine four "rst order amplitude-and phase-modula