Experimental and Theoretical Investigation of Nonlinear Dynamics in an Elastic System with Initial Curvature

Author(s):  
G. Rega ◽  
F. Benedettini ◽  
R. Alaggio
Author(s):  
Laura Ruzziconi ◽  
Abdallah H. Ramini ◽  
Mohammad I. Younis ◽  
Stefano Lenci

This study deals with an experimental and theoretical investigation of an electrically actuated micro-electro-mechanical system (MEMS). The experimental nonlinear dynamics are explored via frequency sweeps in a neighborhood of the first symmetric natural frequency, at increasing values of electrodynamic excitation. Both the non-resonant branch, the resonant one, the jump between them, and the presence of a range of inevitable escape (dynamic pull-in) are observed. To simulate the experimental behavior, a single degree-of-freedom spring mass model is derived, which is based on the information coming from the experimentation. Despite the apparent simplicity, the model is able to catch all the most relevant aspects of the device response. This occurs not only at low values of electrodynamic excitation, but also at higher ones. Nevertheless, the theoretical predictions are not completely fulfilled in some aspects. In particular, the range of existence of each attractor is smaller in practice than in the simulations. This is because, under realistic conditions, disturbances are inevitably encountered (e.g. discontinuous steps when performing the sweeping, approximations in the modeling, etc.) and give uncertainties to the operating initial conditions. A reliable prediction of the actual (and not only theoretical) response is essential in applications. To take disturbances into account, we develop a dynamical integrity analysis. Integrity profiles and integrity charts are performed. They are able to detect the parameter range where each branch can be reliably observed in practice and where, instead, becomes vulnerable. Moreover, depending on the magnitude of the expected disturbances, the integrity charts can serve as a design guideline, in order to effectively operate the device in safe condition, according to the desired outcome.


2015 ◽  
Vol 799-800 ◽  
pp. 523-527 ◽  
Author(s):  
Almaz Sergaliyev ◽  
Aliya Umbetkulova

This work is devoted to modeling of nonlinear dynamics of the rotating drill-string taking into account initial curvature and finiteness of deformations. The drill-string is compressed by variable axial force. The case of flat bending of the drill-string with an initial curvature is studied, where drill-string considered as a one-dimensional rotating rod of a symmetric cross-section. A nonlinear model is developed on the basis of the variational principle Ostrogradsky-Hamilton and the theory of finite deformations. The numerical analysis of the model is carried out. The influence of bending forms and initial curvature of the drill-string on the amplitude of transverse vibrations is established.


2004 ◽  
Vol 171 (4S) ◽  
pp. 381-381
Author(s):  
Waldemar S. Costa ◽  
Fabrício B. Carrerete ◽  
Ronaldo Damião ◽  
Marcia A. Babinski ◽  
Francisco J.B. Sampaio ◽  
...  

1995 ◽  
Vol 50 (2) ◽  
pp. 107-108 ◽  
Author(s):  
Michael F. Halasz

2010 ◽  
Author(s):  
Patrice Renaud ◽  
Mathieu Goyette ◽  
Simon Zhornicki ◽  
Dominique Trottier ◽  
Joanne-L. Rouleau ◽  
...  
Keyword(s):  

2008 ◽  
Author(s):  
J. Navarro ◽  
C. Arrieta ◽  
L. Ceja
Keyword(s):  

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