基于分类相似律的缩尺混合试验方法

SCALED HYBRID SIMULATION METHOD BASED ON CLASSIFICATION SIMILARITY LAW

  • 摘要: 针对缩尺混合试验中缩尺模型与原型结构难以满足完全相似、且非完全相似误差在迭代过程中累积放大的问题,提出一种基于分类相似律的缩尺混合试验方法。该方法在基本量纲基础上,将参数划分为关键参数、基本参数和衍生参数三类,通过三步法构造缩尺关系,保证关键响应的相似性。以五层两跨钢框架为研究对象,设置两种约束案例、六种非完全相似工况开展虚拟混合试验。结果表明:约束位移与恢复力案例中,各工况位移误差值均控制在1%以内,全工况位移误差均值为0.4%,较传统量纲分析方法降低18.3%,且误差分布更集中、稳定性更强;添加应力约束案例中各工况应力误差值均控制在1%以内,两类案例中六个工况恢复力误差的平均值差异不超过0.2%。表明该方法能够有效抑制缩尺混合试验中的误差传递与累积,且具有可拓展性与鲁棒性。

     

    Abstract: A scaled hybrid simulation method based on the classification similarity law is proposed to deal with the problem that the scale model and the prototype structure are difficult to meet the complete similarity in scaled hybrid simulation, and the incomplete similarity error is accumulated and amplified in the iterative coupling process. Based on the basic dimension, the parameters are divided into key parameters, basic parameters and derivative parameters. The scaled relationship is constructed through a three-step method to ensure the similarity of key responses. Taking a five-story two-span steel frame as the research object, two constraint cases and six incomplete-similarity conditions are set up to carry out virtual hybrid simulation. Results indicate that, under displacement–restoring force constraints, the displacement error in each working condition is maintained below 1%, with an average error of 0.4%, which is 18.3% lower than that obtained using the traditional dimensional analysis method. The error distribution is also narrower. When stress constraints are added, the stress error stays below 1% in all conditions. Across the six working conditions, the difference between the mean restoring-force errors of the two cases does not exceed 0.2%. These results demonstrate that the method can effectively suppress the error propagation and accumulation in scaled hybrid simulation, and has good scalability and robustness.

     

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