量纲分析法在土工模型试验中的应用  

The Application of Dimensional Analysis in Model Experiment of Geotechnical Engineering

作　　者：杨宇友[1] 张钦喜[1] 张在明[1] 刘艳[1] 李聪[1] 

机构地区：[1]北京工业大学城市与工程安全减灾省部共建教育部重点实验室,北京100124

出　　处：《北京工业大学学报》2009年第6期785-789,共5页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(50678003;90715035)

摘　　要：量纲分析对试验设计和试验结果的简明表达十分有用,有效的量纲分析可以产生一组无量纲成果.以地基承载力为例说明了Buckingham的π定理及Butterfield对其计算方法的改进.通过数值计算的方法对岸坡虹吸排水模型试验进行了分析,初步验证了量纲分析的成果,对模型试验的关键参数选取提出了一些建议.Dimensional analysis can aid the design of experiments and expression of conciseness of the results generated by them. The dimensionless groups, which are the output of a successful dimensional analysis, are usually developed. This paper takes the ground bearing strength test as the example, shows the Buckingham＇ s π theorem and improves the calculating methods of amelioration by Butterfield. The author studied the model experiment of siphon drainage technology on the bank slope by numerical simulation and validated the results of dimensional analysis, and proposed suggestions for the model experiment essential parameter selection.

关 键 词：量纲分析 模型试验 π定理 数值模拟 相似常数 

分 类 号：O212.6[理学—概率论与数理统计] TU411.93[理学—数学]