Dynamic Stability Analysis of Thin Plates

• Main Authors: Shaw ,Cheng Da, 蕭正達
• Other Authors: Shih, Yan Shin
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/39521283242636759269

碩士 === 中原大學 === 機械工程研究所 === 83 === In this thesis, dynamic stability of composite skew plates and cracked isotropic rectangular plates are studied. Solution to large amplitude dynamic stability of skew laminated plates and cracked isotropic rectangular plates based on von Karman' s plates theory are determined. The von Karman's large deflection equation for arbitrarily laminated elastic plates on elastic foundation are derived in term of stress functions and trans- verse deflection is assumed and a stress function is then obtained. Using Galerkin's method, the governinig equations are reduced to a time-dependent Mathieu equation. The dynamic inst- ability of plates is investigated by the incremental harmonic balance method. A new algorithm is proposed to solve the equa- tion system obtained by the incremental method. For this purp- osed, a new characterization of the parametric vibration by its total infinite norm or Euclidian norm is introduced. This algor- ithm is particularly simple and convenient for computer imple- mentation. The instability regions are obtained with a heigh degree of accuracy. Although only skew plates problems are treated at present, the approach is believed to be general in methodology. The first mode of tranverse ampltitude is con- sidered only. The results of regions of dynamic laminated com- posite skew plates and cracked isotropic rectangular pltaes are provided.