基于数学去噪后模拟地震信号测试混凝土结构抗震性能的研究

Seismic Performance Test of the Concrete StructuresBased on Seismic analog Signals After Denoising

摘要:

针对当前混凝土结构建筑抗震性能测试方法存在的测试结果准确率较低的问题，提出一种新的测试方法，利用小波函数的伸缩平移操作得到一个函数族，对模拟地震信号进行小波变换。当函数族组成一个标准的正交基时，从连续小波变换中对地震信号进行重构，将去噪后的地震信号作为检测混凝土结构建筑抗震性能的信号样本。利用单自由度体系的动力平衡方程对地震的位移反应、速度反应加速度反应以及恢复力进行求解，通过强度折减系数计算公式和结构最大弹性反应计算公式，计算混凝土结构建筑的强度折减系数和结构最大弹性反应，最后在震动台上对混凝土结构建筑抗震性能进行测试。测试实验结果表明，所提方法可以实现对混凝土结构建筑抗震性能的测试，且测试结果准确程度较高。

Abstract:

In this study, a new test method is proposed to address the problem of low accuracy associated with the test results of the current seismic performance test methods with respect to concrete structures. A function family was obtained using the wavelet function, and a wavelet transform was carried out on the analog seismic signals. When the function family constituted a standard orthogonal basis, the seismic signal was reconstructed from the continuous wavelet transform. After denoising, the seismic signal was considered to be a signal sample for verifying the seismic performance of a concrete structure. The displacement response, velocity response, acceleration response, and restoring force were obtained using a dynamic equilibrium equation exhibiting a single degree of freedom. Further, the strength reduction coefficient and the maximum elastic response of the concrete structure were calculated. The experimental results exhibited that the proposed method can effectively test the seismic performance of concrete structures with a high accuracy.