﻿ 基于大挠度板理论的旋转轮盘振动及动力学特性研究

基于大挠度板理论的旋转轮盘振动及动力学特性研究Study on Vibration and Dynamics Characteristics of Rotating Disk Based on Large Deflection Plate Theory

Abstract: The disk was simplified as the same thickness elastic circular plate model fixed at the inner ring and free at the outer ring, and the large deflection transverse free vibration equation of axis sym-metry rotating disk was established in the fixed coordinate system based on the Kirchhoff theory of thin plates. The free vibration mode of disk was obtained by using the Galerkin method two times. A transverse load was applied near the critical speed; the forced vibration equation of rotating disk was established, and then the dynamic characteristics of the disk under different rotating speeds were analyzed. The results showed that the same diameter number corresponds to the same vibration mode of disk, but the phases of two vibration modes are different. The forced vibration responses of the disk under different rotating speeds are periodically distributed, and the higher the rotating speed, the shorter the period in the same time. The dynamic characteristic of the disk under the certain condition is roughly presented by the dynamic response, and the changing trend of the maximum amplitude of the disk has no direct relationship with the rotating speed.

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