Abstract

This paper addresses the free vibration, dynamic response, and the active control of composite rotating pretwisted blades modeled as nonuniform thin-walled beams, fixed at the hub at a setting angle, and incorporating piezoelectrically induced damping capabilities. In this sense, a distributed piezoelectric actuator system activated through the application of an out-of-phase electrical current is used to suppress the dynamic response of the rotating beam subjected to a Heaviside pulse. The blade model incorporates nonclassical effects such as transverse shear, secondary warping, and rotary inertias, and includes the centrifugal and Coriolis force fields. A velocity feedback control law relating the piezoelectrically induced bending moment at the beam tip with appropriately selected kinematical response quantities is used, and the beneficial effects of its implementation upon the closed loop eigenvibration and dynamic characteristics of the blade are highlighted.

Highlights

  • The study of the eigenvibration and dynamic response of rotor blades is an important prerequisite in the design of turbomachinery, helicopter, and jet engines

  • A good understanding of their free vibration and dynamic response is essential towards determining their fatigue life and avoiding catastrophic failures

  • An important step toward the rational design of modern rotor blades consists of the development of analytical models that are capable of accurately predicting their dynamic response

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Summary

INTRODUCTION

The study of the eigenvibration and dynamic response of rotor blades is an important prerequisite in the design of turbomachinery, helicopter, and jet engines. A good understanding of their free vibration and dynamic response is essential towards determining their fatigue life and avoiding catastrophic failures. In this connection, incorporation of composite material technology influences significantly the design of advanced rotor blades. The induced strain field produces, in turn, an adaptive change in the dynamic response characteristics of the structure This problem is of an evident practical importance, to the best of authors’ knowledge no studies addressing it in a so broad way can be found in the specialized literatures. The free vibration of rotating/nonrotating blades modeled as thin-walled beams was considered by Song and Librescu [1, 2], Song et al [3,4,5], Oh et al [6, 7], Librescu et al [8], Librescu and Na [9], Na and Librescu [10,11,12,13], and Na et al [14]

CONFIGURATION OF THE BLADE
THE DYNAMIC EQUATIONS OF THE COMPOSITE BLADE
THE CONTROL LAW
NUMERICAL SIMULATIONS
CONCLUSIONS
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