古代木结构振动台试验中非线性状态下相似关系的讨论
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摘要
介绍常用的相似关系理论,讨论这些理论在评估现存古代木结构建筑的抗震性能而实施的大型缩尺振动台模拟试验中应用的缺陷,指出可以在等效线性化的假设下利用各输入工况前的模型结构自振频率与原型结构自振频率比作为基本参数来确定各工况下其他物理量相似比的解决方法.最后通过北京故宫博物院雨花阁建筑的振动台模型动力试验验证了此方法的可行性.
The application of similitude laws had been widely used,but there still existed some challenges in application of similar relations theory to evaluate the seismic performance of the existing wood structure of ancient Chinese architecture by means of large-scale shaking table test.Through introducing the commonly used similar relations theories,we put forward defects of these theories in the shaking table test simulation applications,and proposed a solution which takes the frequency ratio between the model and prototype as the basic parameter to calculate ratios of others in different conditions based on the equivalent linearization assumption.Finally,the feasibilities of those solutions were verified in the shaking table test of the Pavilion of the Rain building in the Palace Museum,and some other conclusions were obtained.
The application of similitude laws had been widely used,but there still existed some challenges in application of similar relations theory to evaluate the seismic performance of the existing wood structure of ancient Chinese architecture by means of large-scale shaking table test.Through introducing the commonly used similar relations theories,we put forward defects of these theories in the shaking table test simulation applications,and proposed a solution which takes the frequency ratio between the model and prototype as the basic parameter to calculate ratios of others in different conditions based on the equivalent linearization assumption.Finally,the feasibilities of those solutions were verified in the shaking table test of the Pavilion of the Rain building in the Palace Museum,and some other conclusions were obtained.
引文
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[2]张敏政.地震模拟试验中相似律应用的若干问题[J].地震工程与工程振动,1997,17(2):52-58.
[3]任贤斌,尚文勇,钱胜国.弹性模量与结构频率相关的动力模型相似律[J].土工基础,2000,14(4):49-52.
[4]黄思凝,郭迅,孟庆利,等.地震模拟试验中单质点体系小比例尺模型的分级相似关系[J].应用基础与工程科学学报,2013,21(1):71-77.
[5]赵守江.古建木结构及其内陈文物地震反应分析[D]:北京:中国地震局工程力学研究所,2012.
[6]中华人民共和国建设部.GB 50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
[7]Anil K Chopra.结构动力学理论及其在地震工程中的应用[M].2版.谢礼立,吕大刚,译.北京:高等教育出版社,2007.
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