配重不足时的动力试验模型与原型相似关系问题的探讨

STUDY ON THE ANALOGY BETWEEN SCALE MODELS WITH LESS BALLAST AND THEIR PROTOTYPES UNDER SHAKING TABLE TEST

本文分析了动力方程法和参数的量纲分析法的关系。指出采用量纲分析法时正确选择基本参数的重要性。文中用两种方法推导了不同配重条件下,模型与原型的动力相似关系,并且提出了在结构进入弹塑性阶段后,应如何根据得出的相似关系来分析原型的动力性能。为解决振动台试验时配重不足条件下,如何根据试验结果正确地推算原型结构的抗震性能提供了一种可靠的定量方法。文中以两个1/4比例八层砌体结构房屋模型的振动台试验结果和足尺模型的动力分析结果验证了本文给出的动力相似关系的正确性。

The same result has been provided by the dimensional analysis and differential equation method for the analogical ratio between scale model of masonry with less ballast and their prototype under shaking table test. It is pointed out that it is important to choose essential parameter properly in dimensional analysis. It is recommended that the elastoplastic behavior of prototype can be evaluated from shaking table test of scale model with less ballast by dimensional analysis based on the ratio of frequency or rigidity between them at the corresponding stage. This offers an effective method of analysing the performance of earthquake-resistance masonry structure based on shaking table test of scale model with less ballast. The result of shaking table test of two 1/4 scale models of 8 - storey masonry building and numerical analysis of full scale models are given in order to verify the suggested method in the paper.