𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On non-linear normal modes of a 2-dof model of a structure with quadratic non-linearities

✍ Scribed by J.M. Balthazar; R.M.L.R.F. Brasil

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
414 KB
Volume
182
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

NON-LINEAR NORMAL MODES OF A CONTINUOUS
NON-LINEAR NORMAL MODES OF A CONTINUOUS SYSTEM
✍ M.I. Qaisi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 171 KB

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 NON-LINEAR CLAMPED–CLA
NORMAL MODES OF A NON-LINEAR CLAMPED–CLAMPED BEAM
✍ W.C. XIE; H.P. LEE; S.P. LIM πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 156 KB

Non-linear modal analysis approach based on invariant manifold method proposed earlier by Shaw and Pierre (Journal of Sound and <ibration 164, 85}124) is utilized here to obtain the non-linear normal modes of a clamped}clamped beam for large amplitude displacements. The results obtained for the fund

NON-LINEAR NORMAL MODES OF A LUMPED PARA
NON-LINEAR NORMAL MODES OF A LUMPED PARAMETER SYSTEM
✍ M.I. Qaisi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 165 KB

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

NORMAL MODE LOCALIZATION FOR A TWO DEGRE
NORMAL MODE LOCALIZATION FOR A TWO DEGREES-OF-FREEDOM SYSTEM WITH QUADRATIC AND CUBIC NON-LINEARITIES
✍ 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

STOCHASTIC OPTIMAL ACTIVE CONTROL OF A 2
STOCHASTIC OPTIMAL ACTIVE CONTROL OF A 2-DOF QUARTER CAR MODEL WITH NON-LINEAR PASSIVE SUSPENSION ELEMENTS
✍ S. Narayanan; S. Senthil πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 200 KB

Active control of the time varying response to a stationary random excitation of a two-degree-of-freedom vehicle model with non-linear passive suspension elements is considered in this paper. The method of equivalent linearization is used to derive the equivalent linear model and the optimal control