𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A higher order approximation for non-linear normal modes in two degree of freedom systems

✍ Scribed by Richard H. Rand


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
157 KB
Volume
6
Category
Article
ISSN
0020-7462

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


NORMAL MODE LOCALIZATION FOR A TWO DEGRE
✍ R. BHATTACHARYYA; P. JAIN; A. NAIR πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 249 KB

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 SOLUTION FOR A STRONGLY N
✍ M.I. QAISI; A.W. KILANI πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 107 KB

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–POINCARE METHOD FOR
✍ S.H. Chen; Y.K. Cheung πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 435 KB

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

BIFURCATION AND AMPLITUDE MODULATED MOTI
✍ J.-C. JI; L. YU; Y.-S. CHEN πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 278 KB

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