Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.

2 School of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.

10.22068/jstc.2020.121449.1637

Abstract

To improve the performance of the bi-gyroscopic systems, vibration and stability of an axially graded beam with both axial and rotational motion subjected to axial load have been studied. In addition, a detailed parametric study was performed to explain the effect of various key factors such as range of axial graded of materials, type of material distribution, viscosity coefficient, rotation and axial motion on the dynamic of the system. It was assumed that the material properties of the system change linearly or exponentially in the longitudinal direction. The critical axial and rotational speeds of the system were obtained by using the Galerkin discretization technique and eigenvalue analysis. An analytical method was used to identify system instability thresholds. The stability graphs were inspected. For the first time in this paper, it was verified that the stability evolution of the structure could be changed by properly regulating the axial graded of the material. It was concluded that changes in density gradient parameters and elastic modulus have opposite effects on the divergence and flutter boundaries of the system. Also, the destabilizing influences of compressive axial load can be reduced by determining the density gradient and elastic modulus in the longitudinal direction, simultaneously.

Keywords

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