竖向分段均匀连续结构的动力分析法

Dynamic analysis method of vertical segmented uniform continuous structure

为了研究常见的竖向不均匀高层结构、高耸结构的动力学分析问题,以弯曲振动为例考虑上部结构与地基基础的共同作用以及转动的影响,将非均质连续高耸结构简化为分段均匀的连续体,利用振型的正交性把偏微分方程转化为常微分方程,提出分段均匀连续的动力分析模型,建立动力学分析方程,可以很方便的对不均匀结构进行动力分析.

To research the dynamic analysis problem of vertical non- uniform high -rise structure and towering structure, flexural vibrations were taken as examples with the consideration of combined action of superstructure and foundation as well as the action of rotation. Then the non - uniform continuous towering structure was simplified to segmented uniform continuous structure, and the partial differential equation was turned into the ordinary differential equation by utilizing the orthogonality of vibration mode. A model of vertical segmented uniform continuous structure was presented and applied to the establishment of dynamic equation. The method is applicable in the dynamic analysis of non - uniform structure.