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为了研究几何大位移悬臂梁的结构响应,在充分利用线性有限元原理与流程的基础上,本文提出“累积线性法”来对这一问题进行结构建模与求解策略的探讨,数值计算过程表明:该方法在常规有限元软件平台上十分容易实现,并与常规的“一次线性法”和“非线性求解”进行了数值对比.针对本文问题,不仅从理论上指出“累积线性法”的合理与可行和“一次线性法”存在的结果不可信等问题;同时,数值仿真也表明前两种方法得到的结果也是不同的,前者更接近非线性求解的结果.最后,给出4点结论.
In order to study the structural response of geometrically large displacement cantilever beam, based on the full use of linear finite element theory and flow, this paper presents a “cumulative linear method” to explore the issue of structural modeling and solving strategies, numerical calculation The process shows that this method is very easy to implement in the conventional finite element software platform, and compared with the conventional “linear method” and “non-linear solution.” In view of the problem of this paper, “Cumulative Linear Method” is reasonable and feasible and “linear method” is not reliable. At the same time, the numerical simulation also shows that the former two methods are different, the former is closer to the nonlinear solution Finally, 4 conclusions are given.