Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

G Rega - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
This review article is the first of three parts of a Special Issue dealing with finite-amplitude
oscillations of elastic suspended cables. This part is concerned with system modeling and …

Nonlinear vibrations of suspended cables—part II: deterministic phenomena

G Rega - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
The present work is concerned with deterministic nonlinear phenomena arising in the finite-
amplitude dynamics of elastic suspended cables. The underlying theoretical framework has …

Resonant non-linear normal modes. Part I: analytical treatment for structural one-dimensional systems

W Lacarbonara, G Rega, AH Nayfeh - International Journal of Non-Linear …, 2003 - Elsevier
Approximations of the resonant non-linear normal modes of a general class of weakly non-
linear one-dimensional continuous systems with quadratic and cubic geometric non …

Multiple resonances in suspended cables: direct versus reduced-order models

G Rega, W Lacarbonara, AH Nayfeh… - International Journal of …, 1999 - Elsevier
We apply two analytical approaches to construct asymptotic models for the non-linear three-
dimensional responses of an elastic suspended shallow cable to a harmonic excitation. We …

Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation

N Srinil, G Rega, S Chucheepsakul - Nonlinear Dynamics, 2007 - Springer
This paper is first of the two papers dealing with analytical investigation of resonant multi-
modal dynamics due to 2: 1 internal resonances in the finite-amplitude free vibrations of …

Resonant non-linear normal modes. Part II: activation/orthogonality conditions for shallow structural systems

W Lacarbonara, G Rega - International Journal of Non-Linear Mechanics, 2003 - Elsevier
The general conditions, obtained in Lacarbonara and Rega (Int. J. Non-linear Mech.(2002)),
for orthogonality of the non-linear normal modes in the cases of two-to-one, three-to-one …

Multimode interactions in suspended cables

AH Nayfeh, HN Arafat, CM Chin… - Journal of Vibration …, 2002 - journals.sagepub.com
We investigate the nonlinear nonplanar responses of suspended cables to external
excitations. The equations of motion governing such systems contain quadratic and cubic …

Non-linear dynamics of wind turbine wings

JW Larsen, SRK Nielsen - International Journal of Non-Linear Mechanics, 2006 - Elsevier
The paper deals with the formulation of non-linear vibrations of a wind turbine wing
described in a wing fixed moving coordinate system. The considered structural model is a …

[HTML][HTML] Periodic responses of a structure with 3: 1 internal resonance

AD Shaw, TL Hill, SA Neild, MI Friswell - Mechanical Systems and Signal …, 2016 - Elsevier
This work presents a conceptually simple experiment consisting of a cantilever beam with a
nonlinear spring at the tip. The configuration allows manipulation of the relative spacing …

绳索系统的建模, 动力学和控制

金栋平, 文浩, 胡海岩 - 力学进展, 2004 - lxjz.cstam.org.cn
绳索系统具有无限自由度, 当计入非线性因素的作用时, 其面内和面外的振动相互耦合,
呈现非常丰富的非线性动力学行为. 另外, 绳索系统经常工作在风, 流体, 微重力 …