Abstract

In this study, the suppression of wind-induced oscillations of a D-shaped prism mounted on a cantilever beam by means of a positive position feedback (PPF) controller is investigated. The assumed mode method is applied to determine the stiffness, mass and non-linear force matrixes of a second order ordinary differential equation system. The positive position feedback control by use of a sensor-actuator piezoelectric is implemented on the galloping system to suppress the mechanical oscillations. The results show that the PPF controller is a powerful method to decrease the galloping amplitude of the D-shaped prism. The numerical results are in a good agreement with experimental results.

Highlights

  • The wind-induced vibrations in most structures, buildings, and dynamic systems is unwanted, because of the consequential surplus motions and instability, the resultant stresses which possibly will make possible creep, fatigue, and failure of the structure or machine, which reduces their performance and lifetime [1]

  • We investigate the use of a positive position feedback (PPF) controller on a galloping structure, including a cantilevered beam with D-shaped tip mass and piezoelectric actuator and sensor

  • The control of a galloping-based energy harvester system, consisting of a D-shaped prism mounted on a cantilever beam by means of a positive position feedback (PPF) controller, is investigated

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Summary

Introduction

The wind-induced vibrations in most structures, buildings, and dynamic systems is unwanted, because of the consequential surplus motions and instability, the resultant stresses which possibly will make possible creep, fatigue, and failure of the structure or machine, which reduces their performance and lifetime [1]. On the whole, engineering structures which are exposed to the cross flows are likely subject to flow-induced shakiness containing galloping, vortex-induced vibrations (VIV), flutter, etc. Active control of FIV of a resonance flexible cylinder to suppressing structural oscillations by means of direct velocity feedback is presented by Baz and Ro firstly [9]. Their suggested method was successfully applied in the dreadful conditions of the single-mode vibration. Mehmood et al [10] employed both linear and nonlinear feedback of velocity to decrease the vortex encouraged fluctuations of rigid aero-elastic galloping circular cylinders in the lock-in systems condition. Wang et al presented a linear delay controller for square geometries [11]

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