Numerical simulations of Beam’s Vibrations between Stops
نویسنده
چکیده
We present numerical simulations of vibrations of an elastic beam between two stops. The beam is clamped at one end to a vibrating device; the motion of the other end is restricted by two stops. The contact is modeled by the normal compliance condition which describes nonlinear flexible stops, and approximates the Signorini condition for rigid stops. We propose a finite element method for the numerical approximations of the behavior of the model. The numerical simulations indicate that the stops may cause very complicated oscillations. We also use the FFT to describe the noise characteristics of the system.
منابع مشابه
FFT Analysis on Coupling Effect of Axial and Torsional Vibrations in Circular Cross Section Beam of Steam Turbine Generators
This paper presents a novel method to nonlinearly investigate the dynamics of the coupled axial and torsional vibrations in the circular cross section beam of the steam turbine generator using the FFT analysis. Firstly, the coupled axial and torsional vibrations of a beam are proved by equivalent law of shearing stress and different boundary conditions. Then, a nonlinear mathematical model of t...
متن کاملNonlinear Vibration Analysis of an Euler-Bernoulli Beam Resting on a Nonlinear Elastic Foundation under Compressive Axial Force
This paper studies the nonlinear vibration analysis of a simply supported Euler-Bernoulli beam resting on a nonlinear elastic foundation under compressive axial load using nonlinear normal modes concept in the case of three-to-one (3:1) internal resonance. The beam’s governing nonlinear PDE of motion and also its boundary conditions are derived and then solved using the method of Multiple Time ...
متن کاملNumerical and analytical investigation of an ultrasonic assisted ECAP process
One of the great challenges in the processing of materials using Equal Channel Angular Pressing (ECAP) is the high forming forces required to produce large shear deformation in the material. Researchers show that the friction forces between the die and the sample constitute a great part of the total forming forces. Recently, ultrasonic vibrations are successfully implemented into the ECAP proce...
متن کاملGalloping and VIV control of square-section cylinder utilizing direct opposing smart control force
An adaptive fuzzy sliding mode controller (AFSMC) is adopted to reduce the 2D flow-induced vibration of an elastically supported square-section cylinder, free to oscillate in stream-wise andtransverse directions in both lock-in and galloping regions. The AFSMC strategy consists of a fuzzy logic inference system intended to follow a sliding-mode controller (SMC), and a robust control syste...
متن کاملVibrations of narrow microbeams predeformed by an electric field
Vibrations of a fixed–fixed narrow microbeam electrostatically actuated by applying a voltage difference to it and a parallel rigid conductor are analyzed. For gaps between the two conductors that are comparable to the beam’s thickness, the fundamental frequency of the beam may first increase with increasing applied voltage, before suddenly dropping at the pull-in voltage. Available models fail...
متن کامل