Abstract
Transverse Vibration and Stability Analysis of Circular Plate Subjected to Follower Force and Thermal Load
Highlights
The transverse vibration of the circular plate has played an important part in many engineering systems, such as friction clutches, circular saws, disk brakes, and so on
When the follower force Q reaches the critical value Qd, the real part in the first mode becomes zero, but the imaginary part has two branches. This result shows when the follower force Q is larger than the critical load, the divergence instability appears in the first order mode of the circular plate
The transverse vibration and stability of the circular plate subjected to follower force and thermal load with three boundaries are investigated by differential quadrature method (DQM)
Summary
The transverse vibration of the circular plate has played an important part in many engineering systems, such as friction clutches, circular saws, disk brakes, and so on. Some research work has been performed on the circular plate. Bauer and Eidel [1] studied the transverse vibration of the circular plate by Galerkin method, and analyzed the effects of angular speed on the natural frequency and dynamic stability. Khorasany and Hutton [2] discussed the linear vibration behavior of the rotating plate by the modal expansion method. Gupta et al [3] utilized Rayleigh-Ritz method to calculate the deflections of the first two modes in orthotropic viscoelastic circular plates, and discussed the effect of nonhomogeneous value and taper coefficient on transverse vibration. Wang et al [4] analyzed the change of the complex frequencies of the rotating circular plate under three boundary conditions with the change of the angular speed by the differential quadrature method
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