插值矩阵法解正交异性轴对称圆柱壳弯曲问题

The Application of Interpolating Matrix Method in the Bending Problem of Orthotropic Axial Symmetrical Cylindrical Shells

用数值法求解常微分方程边值问题,目前流行的是差分法、试射法、配点法和有限元法。苏联学者A·Φ·斯米乐诺夫在求解梁柱问题时,创建了一种数值法——积分矩阵法,用于求解两点边值问题,文献[2]在此基础上采用分段多项插值,建立了插值矩阵法,该法简洁、通用性强、收敛快、计算稳定,求得的y(x),y′(x),y″(x),……有相同的精度。 1插值矩阵法插值矩阵法可处理如下的m阶线性常微分方程:

Interpolating matrix method is a numerical method for solving boundary value problem of ordinary differential equations. This paper gives the governing differential equation of bending problem of orthotropic axial-symmetrical cylindrical shells. Interpolating matrix method shows how to calculate these ones by means of an example.