Stiffening Effects of High-Frequency Excitation: Experiments for an Axially Loaded Beam

1999 ◽  
Vol 67 (2) ◽  
pp. 397-402 ◽  
Author(s):  
J. S. Jensen ◽  
D. M. Tcherniak ◽  
J. J. Thomsen

According to theoretical predictions one can change the effective stiffness or natural frequency of an elastic structure by employing harmonic excitation of very high frequency. Here we examine this effect for a hinged-hinged beam subjected to longitudinal harmonic excitation. A simple analytical expression is presented, that relates the effective natural frequencies of the beam to the intensity of harmonic excitation. Experiments performed with a laboratory beam confirm the general tendency of this prediction, though there are discrepancies that cannot be explained in the framework of the linear Galerkin-discretized beam model. [S0021-8936(00)01302-7]

2000 ◽  
Vol 62 (2) ◽  
pp. 2233-2237 ◽  
Author(s):  
Francisco J. Moraga ◽  
Rusi P. Taleyarkhan ◽  
Richard T. Lahey ◽  
Fabian J. Bonetto

1990 ◽  
Vol 57 (3) ◽  
pp. 725-730 ◽  
Author(s):  
Bertram A. Schmidt

A high frequency harmonic excitation is applied to the pivot of a rotationally flexible pendulum. It is found that various equilibrium positions occur depending on the stiffness of the flexible parts.


Author(s):  
Abdraouf Abusoua ◽  
Mohammed F. Daqaq

Vibrational Resonance (VR) is a nonlinear phenomenon which occurs when a bi-stable system is subjected to a bi-harmonic excitation consisting of a small-amplitude resonant excitation and a large-amplitude high-frequency excitation. The result is that, under some conditions, the high-frequency excitation amplifies the resonant response associated with the slow dynamics. While VR was studied extensively in the open literature, most of the research studies used optical and electrical systems as platforms for experimental investigation. This paper provides experimental evidence that VR can also occur in a mechanical bi-stable twin-well oscillator and discusses the conditions under which VR is possible.


2017 ◽  
Vol 139 (5) ◽  
Author(s):  
Abdraouf Abusoua ◽  
Mohammed F. Daqaq

This paper describes a new parametric method for the development of nonlinear models with parameters identified from an experimental setting. The approach is based on applying a strong nonresonant high-frequency harmonic excitation to the unknown nonlinear system and monitoring its influence on the slow modulation of the system's response. In particular, it is observed that the high-frequency excitation induces a shift in the slow-modulation frequency and a static bias in the mean of the dynamic response. Such changes can be directly related to the amplitude and frequency of the strong excitation offering a unique methodology to identify the unknown nonlinear parameters. The proposed technique is implemented to identify the nonlinear restoring-force coefficients of three experimental systems. Results demonstrate that this technique is capable of identifying the nonlinear parameters with relatively good accuracy.


1983 ◽  
Vol 50 (2) ◽  
pp. 443-448 ◽  
Author(s):  
B. A. Schmidt

A high-frequency harmonic excitation is applied to a pendulum that is flexible in the radial direction. Approximate equilibrium positions are found when the excitation is in a general and fixed direction. An approximate stable motion is found when the direction of the excitation changes constantly and slowly. It is found that the excitation causes a reduction of the radius.


1977 ◽  
Author(s):  
D. V. Campbell ◽  
William Kennebeck ◽  
A. Zanella ◽  
Paul Sexton

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