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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。
Finite point method is a new numerical method. It starts with Newtonian mechanics, takes particle as object of study, disperses solution domain into particle system, and at the same time looks at the force of each particle in the system, and then traces the whole The motion state of particle system has unique advantages in dealing with nonlinear problems such as large deformation of the structure or mechanism and large deformation. In this paper, the finite element method is applied to study the buckling of thin shells. In order to track its complete buckling path, the loading strategy of explicit arc length method is combined with it. For the contact problem after buckling or large deformation, Contact Algorithm for Explicit Solving. Finally, classical examples of static and dynamic buckling of thin shell are selected by self-programming, and the results of the method are compared with the related literatures and experimental results. The results show that this method is feasible to solve the buckling problem of thin shells and can effectively capture the complete buckling of thin shells.