contributor author | Giuseppe Rega | |
contributor author | Narakorn Srinil | |
date accessioned | 2017-05-09T00:22:55Z | |
date available | 2017-05-09T00:22:55Z | |
date copyright | October, 2007 | |
date issued | 2007 | |
identifier issn | 1555-1415 | |
identifier other | JCNDDM-25628#324_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135313 | |
description abstract | We investigate nonlinear forced oscillations of sagged inclined cables under planar 1:1 internal resonance at avoidance. To account for frequency avoidance phenomena and associated hybrid modes, actually distinguishing inclined cables from horizontal cables, asymmetric inclined static configurations are considered. Emphasis is placed on highlighting nearly tuned 1:1 resonant interactions involving coupled hybrid modes. The inclined cable is subjected to a uniformly distributed vertical harmonic excitation at primary resonance of a high-frequency mode. Approximate nonlinear partial-differential equations of motion, capturing overall displacement coupling and dynamic extensibility effect, are analytically solved based on a multimode discretization and a second-order multiple scale approach. Bifurcation analyses of both equilibrium and dynamic solutions are carried out via a continuation technique, highlighting the influence of system parameters on internally resonant forced dynamics of avoidance cables. Direct numerical integrations of modulation equations are also performed to validate the continuation prediction and characterize nonlinear coupled dynamics in post-bifurcation states. Depending on the elasto-geometric (cable sag and inclination) and control parameters, and on assigned initial conditions, the hybrid modal interactions undergo several kinds of bifurcations and nonlinear phenomena, along with meaningful transition from periodic to quasiperiodic and chaotic responses. Moreover, corresponding spatio-temporal distributions of cable nonlinear dynamic displacement and tension are manifested. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Nonlinear Hybrid-Mode Resonant Forced Oscillations of Sagged Inclined Cables at Avoidances | |
type | Journal Paper | |
journal volume | 2 | |
journal issue | 4 | |
journal title | Journal of Computational and Nonlinear Dynamics | |
identifier doi | 10.1115/1.2756064 | |
journal fristpage | 324 | |
journal lastpage | 336 | |
identifier eissn | 1555-1423 | |
keywords | Cables | |
keywords | Bifurcation | |
keywords | Resonance | |
keywords | Oscillations AND Equations | |
tree | Journal of Computational and Nonlinear Dynamics:;2007:;volume( 002 ):;issue: 004 | |
contenttype | Fulltext | |