采用复级数方法首次建立了基于一阶剪切变形理论的各向异性矩形板横向弯曲一般解析解。
General analytic solutions for transverse bending of anisotropic rectangular plate using first order shear deformation theory is obtained at the first time by the complex series method (CSM).
在数学中经常要用到复变函数在极点邻域内展开的罗朗级数。
It is widely used to develop complex functions into Laurent series at the neighborhood of a pole.
采用复变函数及摄动方法，最后以幂级数形式给出应力强度因子的计算公式。
Stress intensity factors at the craek tips are computed by complex variable functions and perturbation method and formulas are given in power series forms.
研究表明，只要傅里叶级数项数不少于30，改进后的算法比直接用复高斯函数展开具有更高的计算精度。
It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion, so long as the number of Fourier series is no less than 30.
假设板与环间处于无初应力的紧密接触状态，弹性板和弹性环的应力函数都可按复劳伦级数展开。
It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
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