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本文将Ｐｏｉｎｃａｒé定理的一个推论用于分析高层建筑复杂结构的自振特性，结合工程实例，说明特殊的复杂高层结构振动的第１周期一般并不是其主振周期。结构整体部分的振动可能滞后于比整体部分刚度小很多的薄弱部分的振动。结构设计时，应以对地震剪力贡献最大的振型或振型组所对应的周期或周期组作为结构的主振周期或主振周期组。
In this paper, a deduction of Poincaré’s theorem is used to analyze the natural vibration characteristics of complex structures in high-rise buildings. Combined with engineering examples, it is shown that the first cycle of a particular complex high-rise structure vibration is generally not its main vibration period. The vibration of the integral part of the structure may lag behind that of the weak part that is much smaller than the stiffness of the whole part. In the structural design, the period or period group corresponding to the vibration mode or mode group that contributes most to the seismic shear force should be taken as the main vibration period or the main vibration period group of the structure.