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在计算对称结构的静强度问题时，广泛采用仅剖分由对称面分割出的部分结构，再附加上其对称面的边界条件，进行有限元计算就可得到满意的结果，既节省了有限元计算前的大量数据的准备时间，又缩短了计算机解题的时间，但在计算其固有频率和振型时，怕遗漏某些固有频率和振型，往往采用剖分整体结构计算出全部固有频率和振型，但大型对称结构剖分时节点数较多，甚至有时在大型计算机上也难以进行计算，能否也剖分由对称面分割出的部分结构？给出什么样的边界条件？可以等效于整体结构的固有频率和振型；本文从理论上闸明其可行性，并用几个算例说明其正确性．
In the calculation of the static strength of symmetrical structures, only the partial structure segmented by the symmetry plane is widely used, and the boundary conditions of its symmetry plane are added. Finite element calculation can obtain satisfactory results, which saves the finite element Before the calculation of large amounts of data preparation time, but also shorten the time to solve the problem of computer, but in the calculation of its natural frequency and mode, the fear of missing some of the natural frequency and mode shapes, the general structure is often used to calculate the split all natural frequency And mode shapes, but large symmetric structure of the subdivision of the node number is more, sometimes even in large computers is also difficult to calculate, can also be divided by the symmetry plane of the part of the structure? What kind of boundary conditions are given? It can be equivalent to the natural frequency and mode shape of the whole structure. In this paper, we prove its feasibility theoretically and illustrate the correctness by several examples.