Mode Localization Experiments on a Ribbed Antenna

Levine-West, Marie B.; Salama, M.

doi:10.2514/3.49111

Cited by 18 publications

(7 citation statements)

References 6 publications

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“…Experimentally, linear mode localization was detected in a disordered circular antenna with flexible ribs and a gimbaled central hub [9], and in a disordered multi-span beam [lo]. Transient [ll] and steady state [12] nonlinear localization and motion confinement was experimentally investigated in a system of coupled nonlinear flexible beams.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro‐Impacts

1997

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In this work a numerical and experimental study of nonlinear motion confinement phenomena in a nonlinear flexible assembly with vibro‐impacts is carried out. The assembly consists of two coupled cantilever beams whose motion is constrained by rigid barriers. In the theoretical model the impact nonlinearities are simulated by clearance nonlinearities with steep stiffness characteristics; special care is taken to model energy dissipation due to inelastic impacts. The theoretical results confirm that the vibro‐impact system possess motion confinement properties. Both transient and steady state motions are studied, and it is shown that under certain conditions the vibrational energy of the system is passively confined to only one of the two beams. These essentially nonlinear responses exist inspite of direct coupling between the two beams, and have no analogs in linear theory. The experimental results confirm the theoretical predictions both in the transient and steady state regimes. The passive nonlinear motion confinement phenomena reported in this and previous works can be utilized to enhance the controllability of flexible structures with symmetries, and to improve current shock and vibration isolation designs of such systems.

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Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro‐Impacts

1997

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“…Because DB are generic modes in many non-linear lattices, they are the object of great theoretical and numerical attention in many diverse fields like condensed matter physics [14][15][16][17], mechanical engineering [18][19][20] and biophysics [21]. Only recently have the first experiments been performed which detect intrinsic localized modes in quasi-one-dimensional charge-density-wave compounds [22], antiferromagnetic anharmonic crystals [23] and superconducting arrays [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Discrete breathers in Josephson ladders

Trías

Mazo

Brinkman

et al. 2001

Physica D: Nonlinear Phenomena

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We present a study of nonlinear localized excitations called discrete breathers in a superconducting array. These localized solutions were recently observed in Josephsonjunction ladder arrays by two different experimental groups [1][2][3]. We review the experiments made by Trías et al.[1] We report the detection of different single-site and multi-site breather states and study the dynamics when changing the array bias current. By changing the temperature we can control the value of the damping (the Stewart-McCumber parameter) in the array, thus allowing an experimental study at different array parameters. We propose a simple DC circuit model to understand most of the features of the detected states. We have also compared this model and the experiments with simulations of the dynamics of the array. We show that the study of the resonances in the ladder and the use of harmonic balance techniques allow for understanding of most of the numerical results. We have computed existence diagrams of breather solutions in our arrays, found resonant localized solutions and described the localized states in terms of vortex and antivortex motion.

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“…. , x~}~ = x, which have been given in equation (9). It can readily be shown that they are actually the eigensolutions of the following eigenvalue problem :…”

Section: Proc Instn Mcch Engrs Vol210mentioning

confidence: 99%

“…global generalized vibration displacement vector generalized vibration displacement vector of jth beam component defined beneath equation (2) defined by equation (9) stiffness matrix for ordered mass-spring system y coordinate of nth spring connection point on beam Ritz basis vector, defined beneath equation (3) bending mode function of standard beam component [see equation relating to beam components (1 < j < N) relating to subproblems of entire eigenvalue problem (1 < k < N) relating to coupling springs (1 < n < J) defined by equation (5) MI, Rk defined by equation (7) N number of beam components poi defined by equation (5) components, possess some well-known dynamic properties, for example their vibration frequenices are clustered into a series of narrow-banded groups that make their vibration modes highly sensitive to structural imperfections which may cause strong mode localization. In recent years, the studies of the effects of structural imperfections on engineering periodic structures and vibration mode localization have attracted much attention from structural dynamicists [see references (1)-(11) among others].…”

mentioning

confidence: 99%

On the Vibration of a Nearly Cyclic System

Liu

1996

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the vibration modes of the structural model of a nearly cyclic multiply mono-coupled multi-degree-ofifreedom (multi-DOF) component assembly are examined. The attention is focused on the mode similarity phenomenon among the vibration deformation shapes of all the components for the disordered assemblies with relatively weak coupling. By means of this particular characteristic of the normal modes of such a system, an effective solution method based on the analysis of a single component system is developed, which can be used to find any specified structural frequency within any given frequency band and its corresponding mode of the system directly. This solution scheme, in a new perspective, provides a direct physical insight into the relation between the imperfection effects and the various structural and imperfection parameters. Numerical examples are given at the end.

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Mode Localization Experiments on a Ribbed Antenna

Cited by 18 publications

References 6 publications

Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro‐Impacts

Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro‐Impacts

Discrete breathers in Josephson ladders

On the Vibration of a Nearly Cyclic System

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