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本文通过采用移动最小二乘函数作为近似函数和完全拉格朗日方程作为近似方程来改善光滑粒子法的稳定性和数值精度;在此基础上,提出了壳结构静力分析的光滑粒子法,并完善了壳结构动力分析方法;最后,采用国际公认的壳结构的标准测试模型对静力和动力问题分别进行了验证,所得结果与已有数据吻合良好,证明了本文数值模型的有效性和可靠性,为光滑粒子法进一步在裂纹、破碎等非线性壳结构中的应用提供参考.
In this paper, we use the moving least square function as the approximate function and the complete Lagrange equation as the approximate equation to improve the stability and numerical accuracy of the smooth particle method. On this basis, the smooth particle method of the static analysis of the shell structure is proposed, Finally, the static and dynamic problems of the shell structure are verified by the internationally accepted standard test model of the shell structure. The obtained results are in good agreement with the existing data and the validity of the numerical model is proved. Reliability, for the smooth particle method for further crack, crushing and other non-linear shell structure applications.