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A pre-construction survey should document the condition of the structure and all existing cracks in order to determine whether any new cracks appeared during construction. Vibration levels can be monitored during construction with a seismograph to determine if the vibration levels exceeded the building damage threshold. However, many times, vibration monitoring is not performed, and pre- and post-construction surveys are not available. Therefore, vibration analyses can be performed to estimate the vibration levels which would have been present at the property and compare them to the minimum vibration level required to damage a structure. According to Florida Statute 552.30, direct ground vibrations generated by construction mining activities are limited to the maximum standards set by the United States Bureau of Mines Report of Investigation No. 8507 (1980). While these regulations specifically apply to mining, they are commonly applied to construction operations.
Direct vibration damage is caused by vibration energy transmitted to the foundation through direct contact with the bearing soils. Ground vibrations travel most often, in construction, as surface waves. This type of wave decreases in magnitude, or attenuates, with greater distance from the source of the vibrations. This attenuation is the result of energy loss due to friction within the material, soil particles in this case, through which the wave must travel. For comparison, building impact vibration levels are often noted as a single number quantifying the peak particle velocity (PPV, in in/sec or mm/sec).
Both direct impact from surface waves as well as indirect impact from induced differential settlement of the bearing soils and settlement-related distress of the foundation and load-bearing walls are considered when performing a construction vibration analysis.
Abstract:Although the direct sampling method (DSM) has demonstrated its feasibility in identifying small anomalies from measured scattering parameter data in microwave imaging, inaccurate imaging results that cannot be explained by conventional research approaches have often emerged. It has been heuristically identified that the reason for this phenomenon is due to the coupling effect between the antenna and dipole antennas, but related mathematical theory has not been investigated satisfactorily yet. The main purpose of this contribution is to explain the theoretical elucidation of such a phenomenon and to design an improved DSM for successful application to microwave imaging. For this, we first survey traditional DSM and design an improved DSM, which is based on the fact that the measured scattering parameter is influenced by both the anomaly and the antennas. We then establish a new mathematical theory of both the traditional and the designed indicator functions of DSM by constructing a relationship between the antenna arrangement and an infinite series of Bessel functions of integer order of the first kind. On the basis of the theoretical results, we discover various factors that influence the imaging performance of traditional DSM and explain why the designed indicator function successfully improves the traditional one. Several numerical experiments with synthetic data support the established theoretical results and illustrate the pros and cons of traditional and designed DSMs.Keywords: direct sampling method; microwave imaging; scattering parameter; Bessel functions; simulation results 2b1af7f3a8