中文摘要：

有限质点法是一种新型的数值方法,它从牛顿力学的角度出发,以质点为研究对象,将求解域离散为质点系统,同时着眼于该系统内各个质点所受的力,进而追踪到整个质点系统的运动状态,在处理结构或机构的大变位、大变形等非线性问题时具有独特的优势。该文将有限质点法应用于薄壳的屈曲问题研究,为追踪其完整的屈曲路径,将显式弧长法的加载策略与其相结合;针对屈曲或大变形后出现的接触问题,改进了一种适用于显式求解的接触算法。最后,通过自编程序,分别选取薄壳屈曲问题的静力、动力等经典算例,并将该方法的计算结果和相关文献及试验结果进行了对比。结果表明,该文的方法用于薄壳的屈曲问题求解是可行的,能有效捕捉薄壳屈曲的完整过程。

英文摘要：

In the perspective of Newton mechanics, the finite particle method （FPM） is a new numerical analysis method, discretizing the analytic domain into a group of particles whose motions can be easily determined according to the forces applied on them. It has extraordinary superiority for analyzing structures and mechanisms with nonlinear properties undergoing rigid body motions or large deformations. Based on FPM, the buckling of a thin shell is analyzed in this paper. In order to trace the full equilibrium path, the explicit arc-length method （ALM） is cooperated to solve the snap through phenomena. Also an explicit contact algorithm is modified for contact analysis during buckling or lager deformation. Finally, several numerical examples with behaviors of static, dynamic etc. are presented to demonstrate the performance and applicability of the proposed approach. Compared with other works and experiments, the results of numerical examples solved by a self-designed program reveal that the presented method is feasible for the buckling analysis of a thin shell and can capture the full equilibrium path dttring buckling.