Analytical study of active control of wave transmission through cylindrical struts

Abstract

In this article, analytical investigations conducted into active control of longitudinal and flexural vibrations transmitted through a cylindrical strut are presented. Mechanics based models for struts fitted with piezoelectric and magnetostrictive actuators are developed, and for harmonic disturbances, a linear dynamic formulation describing the motion of the actuators is integrated with the formulation describing wave transmission through the strut. The resulting system is studied in the frequency domain and open-loop control studies are conducted with the aid of numerical simulations. Comparisons are made between control schemes based on piezoelectric actuators and magnetostrictive actuators, and the effectiveness of these schemes in attenuating wave transmission is also discussed. The studies presented here, which can form the bases for analog feedforward control schemes and model based feedback schemes, illustrate the potential for active suppression of longitudinal and lateral displacements in cylindrical struts over the frequency range extending from 10 Hz to 5 kHz.

Coupled analysis of composite laminate with embedded magnetostrictive patches

“…Nakamura et al [9] developed an active six degrees-of-freedom micro-vibration control system using giant magnetostrictive actuators. Pelinescu and Balachandran [10] presented analytical investigations conducted into active control of longitudinal and flexural vibrations transmitted through a cylindrical strut fitted with piezoelectric and magnetostrictive actuators. Mahapatra et al [11] have used this material to suppress all the frequency gear box noise components for active noise control in helicopter passenger cabins.…”

Flexural Vibration Control of the Circular Handlebars of a Bicycle by Using MFC Actuators

“…In similar research on the control of flexural vibration transmission through cylindrical structures, Pelinescu and Balachandran (1998, 2001a, 2001b and Ortel and Balachandran (1999) conducted analytical and experimental studies to explore the potential of actuators based on piezoelectric and magnetostrictive materials for the active control of wave transmission through cylindrical struts. These studies demonstrated that vibratory disturbances transmitted through a cylindrical strut can be attenuated by controlling the corresponding longitudinal and flexural wave components transmitted to the host structure in the frequency range extending from 10 Hz up to 5 kHz.…”

Numerical simulation on coupling behavior of Terfenol-D rods

“…With the application of sensors and actuators, more and more researches focus on the dynamic behavior of smart materials and structures (Zhou and Miya, 1999;Zhou and Tzou, 2000;Pelinescu and Balachandran, 2001;Mahapatra et al, 2001). As an important actuator to control vibration, Terfenol-D actuator has many advantages in performance such as large displacement, fast response, simple driving, wide frequency range, good low frequency character and so on.…”