Prediction of micro-macro damping characteristics of laminated composite cylindrical shells
DAI Qiyi1,2, QIN Zhaoye2, CHU Fulei2
1. Department of Mechanical Engineering, Beijing Technology and Business University, Beijing 100048, China;
2. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
Abstract：Micro-macro damping characteristics of laminated composite cylindrical shells were studied here. Based on Reissner-Naghdi thin shell theory, the vibration differential equations of a cylindrical shell were derived. In process of separation of variables, Haar wavelet series was used to represent axial mode, and Fourier series was used to represent circumferential mode. The unknown coefficients appearing in integration were solved using boundary conditions to obtain the characteristic equation to be used for analyzing free vibration characteristics of the cylindrical shell. Based on the microscopic damping calculation method and multi-cell model of hybrid materials, the equivalent damping characteristics and equivalent elastic characteristics of single-layer composite material were obtained, and damping characteristics of a composite cylindrical shell were predicted using the complex modulus method. By comparing damping prediction results with those published in other literature, the effectiveness of the proposed method was verified. Effects of fiber content, circumferential wave number, laminated mode and geometric parameters on damping characteristics of composite cylindrical shell under four typical boundary conditions were further analyzed.
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