多变量样条元法分析薄板的弯曲,振动与屈曲

BENDING, VIBRATION AND BUCKLING ANALYSIS FOR PLATES USING MULTIVARIBLE SPLINE ELEMENT METHOD

本文以B_3样条函数来构造簿板的横向位移及多种内力的独立的场函数,应用二类变量广义变分原理导出多变量样条无法分析薄板弯曲,振动与屈曲的方程组。文中,对薄板的弯曲,振动与屈曲问题进行了数值计算,结果表明,精度高。

The bicubic spline functions are used to construct the bending moments, twisting moment and displacements fields function. The multivaniable element equations are derived based on mixed variational principle. The bending,vibration and buckling problems for plates are analysed and calculated in this paper. Because of the multiply variables are used in the independent fields functions,so the precisions of fields variables such as bending moments, twiting moments and displacements, are all higher.