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通过将挠度及中面应力函数分别设为带有补充项的Fourier-Bessel和三角双重级数,给出了适合任意边界条件、任意载荷形式的弹性地基扁球壳的解析解.结果表明,本法精度高,收敛快,便于实际应用.
By setting the deflection and middle stress functions to the Fourier-Bessel and triangular double series with supplementary terms, the analytical solutions of elastic flat shallow spherical shells with arbitrary boundary conditions and arbitrary loads are given. The results show that this method has the advantages of high precision, fast convergence and practical application.