薄板稳定和振动分析的精化九参数三角形单元

对精化三角形薄板单元分别按一致质量矩阵和一致几何矩阵进行振动和稳定性分析，结果表明该薄板单元在此类特征值问题中具有精度高，易于实施的优点。进一步又提出一种新的建立质量矩阵的方法（可称之为组合一致质量矩阵），并给出了变分依据。该方法中显著地提高求解振动频率的精度。

Rdfined nine degrees of freedom triangular element for stability and vibration analysis of bending thin plates

The refined nine degrees of freedom triangular element is used for the analysis of stabilityand vibration of the bending thin plate. Analysis of vibration is studied by means of consistentmass matrix, and a new type of mass matrix so- called combined consistent mass matrix issuggested in which the basis of variational principle is given.The critical load is done by means ofthe consistent geometric stiffness matrix. The numerical results show that the present element isnot only good in bending problems,but also has good performance in vibration and stabilityanalysis.