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本文指出,连续梁或无侧移单层刚架的前n个固有频率,总是分别略大于其相应结构的对应“简支基频”.利用这个性质,提出了用以计算连续梁或无侧移单层刚架的前n个固有频率的等效梁方法.等效梁是一个两端具有弹性转动约束的简支梁,第(j)个等效梁的基本频率,就是原结构的第j个固有频率.导出了用迭代法求等效梁的基本频率的统一公式.一般进行1-2次试算,可得出满意的结果.
In this paper, it is pointed out that the first n natural frequencies of a continuous beam or a non-sway single-layer rigid frame are always slightly larger than the corresponding “simple support fundamental frequency” of its corresponding structure. Using this property, a continuous beam is proposed for calculation. Equivalent beam method for the first n natural frequencies of a single-layer rigid frame without lateral displacement. The equivalent beam is a simple beam with elastic rotation constraints at both ends. The basic frequency of the (j)th equivalent beam is the original The j-th natural frequency of the structure. Derived a unified formula for calculating the basic frequency of the equivalent beam using the iterative method. Usually 1-2 trials are performed to obtain satisfactory results.