Akademik Veri Yönetim Sistemi
Mechanics Research Communications, cilt.155, 2026 (SCI-Expanded, Scopus)
This research examines how to control axial vibrations using piezoelectric elements and their associated nonlinear vibrational behaviours with regard to rotating cylindrical shells. This will require the use of axial thermal loads in the design model, which utilises the following criteria: (1) As a thin-walled sandwich beam, it consists of a porous functional grading (FG) core and piezoelectric sensor and actuator layers. (2) A thin-walled Rayleigh beam formulation that incorporates geometric nonlinear effects of the von Kármán type to predict varying amplitude of vibration and impact of the piezoelectric elements. (3) The constitutive model of each piezoelectric element, which allows for active control through negative proportional displacement feedback, provides a method for controlling axial vibrations. (4) The governing equations of motion take into account the gyroscopic effects of the rotation and the influence of an interior fluid. The governing equations are derived using Hamilton's principle by retaining all terms up to cubic order and dropping all higher than cubic order terms for the purposes of being analytic. To accomplish this, the Galerkin method is used to convert the resulting partial differential equations (PDEs) into a series of ordinary differential equations (ODEs), and as a group of ODEs, allows the evaluation of a steady state or resonant response using a harmonic trial solution. Investigations into piezoelectric actuation as a means of reducing nonlinear resonant vibrations and preventing dynamic instability from occurring under combined loading conditions that produce thermal, rotational, and fluid loads have been thoroughly conducted. Several parametric analyses reveal how critical rotational speed, thermal gradients, feedback gains, and material gradation are to the conditions that result in the onset of resonant instability and amplitude modulation. The results obtained from these investigations indicate that properly tuned negative displacement proportional feedback can produce a considerable increase in dynamic stability, a reduction in the amplitude of vibration, and a delay of resonance when subjected to multiple types of loading. The results will therefore serve as a useful guideline for designing active vibration control systems for advanced rotating cylindrical systems utilizing multifunctional engineered material architectures.