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VIBRATIONS OF TWO beams ELASTICALLY coupled TOGETHER AT AN ARBITRARY ANGLE

Acta Mechanica Solida Sinica 2012年第1期25卷 61-72页

作者： Wen L. Li Murilo W. Bonilha Jie Xiao Department of Mechanical Engineering Wayne State University 5050 Anthony Wayne Dr. Detroit MI 48202 USA United Technologies Research Center 411 Silver Lane East Hartford CT 06108 USA

A general analytical method is developed for the vibrations of two beams coupled together at an arbitrary *** stiffness of a joint can take any value from zero to infinity to better model many real-world coupling *** flexural and longitudinal waves are included to account for the cross-coupling effects at the *** displacement compo-nent is here invariantly expressed,regardless of the coupling or boundary conditions,as a Fourier series supplemented by several closed-form functions to ensure the uniform convergence of the series *** are presented to compare the current solution with finite element and experimental results.

关键词： coupled beams beams free vibrations

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Internal Vibration and Synchronization of Four coupled Self-Excited Elastic beams

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Open Journal of Applied Sciences 2016年第8期6卷 501-513页

作者： Miguel A. Barron Departamento de Materiales Universidad Autonoma Metropolitana Azcapotzalco Ciudad de Mexico Mexico

The vibration behavior and the synchronization between some internal points of four coupled self-excited beams are numerically studied. Coupling through the root of the beams is considered. The transverse displacements of the internal points and the beam tips are monitored, and the power spectra of the resulting time series are employed to determine the oscillation frequencies. The synchronization between beams is analyzed using phase portraits and correlation coefficients. Numerical results show multiple frequencies in the vibration pattern, and complex patterns of synchronization between pairs of beams.

关键词： coupled beams Self-Excited beams Spatially Extended Oscillators Synchronization Vibration Behavior

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EIGENFREQUENCIES OF THE THREE DIMENSIONAL EULER－BERNOULLI BEAM SYSTEM WITH DISSIPATIVE JOJNTS

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Applied Mathematics and Mechanics(English Edition) 1995年第8期16卷 723-746页

作者： William H. Paulsen(Department of Computer Science, Mathematics, and Physics, ArkansasState Unirersity, Arkansas. 72467, USA) Department of Computer Science Mathematics and Physics Arkansas State University Arkansas USA

In this paper, we will compute the transfer matrices to find the eigenfrequenciesfor the vibrations of the general non-collinear Euler-Bernoulli or Timoshenko beamstructure with dissipative joints. We will allow the structure to be three dimensional,and thus we must consider all types of vibrations simulaneously, including longitudinaland torsional vibrations. The general structure considered will consist of any number ofbeams joined end to end to form a chain. Many, different kinds of dampers areallowed, even within the same structure. We also will allow different materials withinthe structure as well as different beam widths. We then will show. that asymptotic estimates can be used to find the eigenfrequencies approximately.

关键词： asymptotics coupled beams eigenfrequencies Euler-Bernoulli,Timoshenko linear joints

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