| 插值矩阵法解正交异性轴对称圆柱壳弯曲问题 |
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| 引用本文： | 牛忠荣,薛祖卫. 插值矩阵法解正交异性轴对称圆柱壳弯曲问题[J]. 东南大学学报(自然科学版), 1992, 0(5) |
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| 作者姓名： | 牛忠荣 薛祖卫 |
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| 作者单位： | 东南大学合肥工业大学数力系，东南大学土木工程系 |
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| 摘 要： | 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:
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The Application of Interpolating Matrix Method in the Bending Problem of Orthotropic Axial Symmetrical Cylindrical Shells |
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| Niu Zhongrong. The Application of Interpolating Matrix Method in the Bending Problem of Orthotropic Axial Symmetrical Cylindrical Shells[J]. Journal of Southeast University(Natural Science Edition), 1992, 0(5) |
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| Authors: | Niu Zhongrong |
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| Affiliation: | Niu Zhongrong (Hefei University of Technology) Xue Zuwei (Departement of Civil Engineering) |
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| Abstract: | 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. |
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| Keywords: | cylindrical shells bending numerical solutions/interpolating matrix method.variable stiffness |
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