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随着水利水电事业的不断发展,在震区修建的拱坝逐渐增多,拱坝的动力分析和抗震设计工作也就日趋重要.由于拱坝是极不规则的壳体结构,其动力分析比较困难,目前多采用有限单元法,工作量大,计算周期长、费用高,中、小型计算机难以实现.本文根据样条有限点法的计算原理,为薄拱坝提出一个简便的动特性分析方法.按本文建议的方法,求解的动力方程只有十几阶,利用PC-1500袖珍计算机即可方便地实现,而有限元方法建立的动力方程为200阶以上,按照计算经验,大型特征值问题的求解,其计算时间与方程阶数的2.5—3.0次方成正比例,可见,对于薄拱坝结构,本文方法具有明显的优越性.文中计算了两个实例,所得结果与有限元方法符合较好.
With the continuous development of water conservancy and hydropower, the number of arch dams built in the earthquake area is gradually increasing, and the dynamic analysis and seismic design of dams are becoming more and more important.As the dams are extremely irregular shell structures, their dynamic analysis is difficult At present, the finite element method is mostly used, the workload is heavy, the calculation period is long, the cost is high, and it is difficult to realize by the medium and small computers.This paper presents a simple dynamic characteristic analysis method for the thin arch dam based on the calculation principle of spline finite point method. According to the method proposed in this paper, the dynamic equation is only about a dozen steps, which can be easily realized by using the PC-1500 pocket computer. However, the finite element method has a dynamic equation of 200 or more. According to the calculation experience and the large eigenvalue problem , And its calculation time is proportional to the 2.5-3.0 power of the order of the equation. Therefore, this method has obvious advantages for the thin-arch dam structure. Two examples are calculated and the results are in good agreement with the finite element method.