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本文提出一种无限元,通过选用不同的衰减函数,可以分别用于静力场、动力场及各类稳定场问题.文中用无限元模拟了无限地基的弹性及动水压力场的分布规律,计算了紧水滩拱坝的动力特性和动力反应.并和常规的有限元法对比,结果表明:用无限元模拟拱坝的地基和库水能更好地反映坝、水、地基的动力相互作用机理,节省了地基和库水单元,减少了总自由度数,从而缩减了计算机内存、CPU时间和数据准备工作量.本文的无限元在形式上类似于常规的等参数单元,易于在现有的有限元程序中加入无限元子程序段,因此,便于工程技术人员掌握,是一种值得推广为工程实用的有效新单元.
In this paper, an infinite element is proposed, which can be used for static field, dynamic field and various stable fields by selecting different attenuation functions. In this paper, the elasticity of infinite foundation and the distribution law of dynamic pressure field are simulated by infinite element. The dynamic characteristics and dynamic response of the Jinshuitan arch dam are calculated. Compared with the conventional finite element method, the results show that the foundation and reservoir water of infinite arch simulation arch dam can better reflect the dynamic interaction mechanism of dam, water and foundation. Saves the foundation and the reservoir water unit, reduces the total number of degrees of freedom, thereby reducing the computer memory, CPU time, and data preparation workload. The infinite element in this paper is similar in form to the conventional isoparametric unit, and is easily limited in the existing The infinite program subroutine is added in the metaprogram, so it is convenient for engineers and technicians to master it. It is an effective new unit worthy of promotion for practical engineering.