scholarly journals Experimental study of isolas in nonlinear systems featuring modal interactions

PLoS ONE ◽  
2018 ◽  
Vol 13 (3) ◽  
pp. e0194452 ◽  
Author(s):  
Thibaut Detroux ◽  
Jean-Philippe Noël ◽  
Lawrence N. Virgin ◽  
Gaëtan Kerschen
Keyword(s):  
Experimental Study ◽  
Nonlinear Systems ◽  
Modal Interactions

Identification of Nonlinear Systems Parameters Using Polyspectral Measurements and Analysis

1995 ◽  
Author(s):  
Muhammad R. Hajj ◽  
Ali H. Nayfeh ◽  
Pavol Popovic
Keyword(s):  
Experimental Study ◽  
Nonlinear Systems ◽  
Analytical Solutions ◽  
Analytical Techniques ◽  
Modal Interactions ◽  
Unknown Parameters ◽  
Nonlinear Parameters ◽  
The Subject ◽  
Beam Frame ◽  
Subharmonic Resonances

Abstract Experimental and analytical techniques that characterize nonlinear modal interactions in structures are used to quantify parameters in representative nonlinear systems. The subject of the experimental study is a three-beam frame. Subharmonic resonances and interaction between widely spaced modes are exploited to determine nonlinear parameters in models that represent these interactions. The phases of the auto-bispectra of the response of this structure appear in the analytical solutions of the representative models. Values of these phases could thus aid in determining other unknown parameters of nonlinear systems.

Concerning Subharmonic Oscillations Which May Exist in Nonlinear Systems Having Odd Restoring Forces

1959 ◽  
Vol 81 (1) ◽  
pp. 37-40
Author(s):  
C. A. Ludeke ◽  
William Pong
Keyword(s):  
Experimental Study ◽  
Nonlinear Systems ◽  
Restoring Force ◽  
Restoring Forces

An experimental study is made of subharmonic oscillations in systems having |θ|θ, θ3, and |θ3|θ as the nonlinear terms in the restoring force; θ represents displacement. In a system with a restoring force θ3 the subharmonic of order one third was the only subharmonic observed. In a system with |θ|θ or |θ3|θ as the restoring force, subharmonics of order one half and one third were observed.

scholarly journals Nonsimilar Normal Mode Vibrations of Nonlinear Systems Having Two Degrees of Freedom

1964 ◽  
Vol 31 (2) ◽  
pp. 283-290 ◽  
Author(s):  
R. M. Rosenberg ◽  
J. K. Kuo
Keyword(s):  
Experimental Study ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Normal Mode ◽  
Degrees Of Freedom ◽  
Normal Modes ◽  
Wave Shape ◽  
Time Histories ◽  
Mode Vibration ◽  
Wave Shapes

When a nonlinear system having several masses vibrates in normal modes, the time histories of the motion of these masses are, in general, different in wave shape (although in certain special nonlinear systems they differ at most in amplitude, but not in shape). When the wave shapes differ, the normal mode vibration is called nonsimilar. In this paper, nonsimilar normal mode vibrations are analyzed with respect to wave shape and stability. The systems considered are those lying close to systems having similar normal mode vibrations. An example is worked out in detail, and a comparison with an experimental study is reported.

Nonresonant Modal Interactions

1995 ◽  
Author(s):  
Zaichun Feng
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Mechanical System ◽  
Modal Interactions ◽  
Chaotic Motions ◽  
Work Mechanism ◽  
One To One ◽  
Energy Interchange

Abstract Modal interactions in nonlinear systems provide a means by which energy can be transferred between modes. This energy interchange may give rise to chaotic motions in dynamical systems. Extensive research has been focused on the resonant modal interactions when the frequencies of the interacting modes are commensurate such as one-to-one and one-to-two resonances. It is recently realized that modal interactions can also occur even if the frequencies of the interacting modes are non-commensurate. In this work, mechanism for these nonresonant modal interactions is identified and illustrated through a simple mechanical system.

Experimental study on the restoration from a tilt-azimuth series for improvement in resolution

1995 ◽  
Vol 53 ◽  
pp. 636-637
Author(s):  
Norio Baba ◽  
Norihiko Ichise ◽  
Syunya Watanabe
Keyword(s):  
Experimental Study ◽  
Spherical Aberration ◽  
Incident Beam ◽  
Optical Parameters ◽  
Beam Tilting ◽  
Illumination Method ◽  
Restoration Method ◽  
Illumination Mode

The tilted beam illumination method is used to improve the resolution comparing with the axial illumination mode. Using this advantage, a restoration method of several tilted beam images covering the full azimuthal range was proposed by Saxton, and experimentally examined. To make this technique more reliable it seems that some practical problems still remain. In this report the restoration was attempted and the problems were considered. In our study, four problems were pointed out for the experiment of the restoration. (1) Accurate beam tilt adjustment to fit the incident beam to the coma-free axis for the symmetrical beam tilting over the full azimuthal range. (2) Accurate measurements of the optical parameters which are necessary to design the restoration filter. Even if the spherical aberration coefficient Cs is known with accuracy and the axial astigmatism is sufficiently compensated, at least the defocus value must be measured. (3) Accurate alignment of the tilt-azimuth series images.

An Experimental Study of Some Properties of Stuttered Words

1962 ◽  
Vol 5 (4) ◽  
pp. 387-394 ◽  
Author(s):  
Bruce Quarrington ◽  
Jerome Conway ◽  
Nathan Siegel
Keyword(s):  
Experimental Study
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