Free Vibration Analysis of Orthotropic Circular Membranes in Large Deflection
This paper reviewed the research on the vibration of orthotropic circular membrane. We applied the large deflection theory of membrane and principle of virtual displacement to derive the governing vibration equations of circular membrane, solved it, and obtained the power series formula of nonlinear vibration frequency of circular membrane with all edges fixed. The paper gave the computational example and compared the frequency with different initial displacements, respectively. Results obtained from this paper provide some theoretical foundation for the research of orthotropic composite materials; meanwhile, the results provide some theoretical foundation for the research of nonlinear vibration of membrane.
Z. L. Zheng et al., "Free Vibration Analysis of Orthotropic Circular Membranes in Large Deflection", Advanced Materials Research, Vols. 255-260, pp. 1730-1734, 2011