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《Chinese Journal of Geophysics》 2015-01
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Theoretical analysis on density measurement of rockfill body by additive mass method

ZHANG Zhi;FAN You-Hua;CAI Jia-Xing;LI Xu;MA Sheng-Min;LIU Yang;Company of Changjiang Engineering Geophysics Exploration of CWRC;Harbin Institute of Technology Shenzhen Graduate School;  
Additive mass method is a new rockfill body density detection method,which is convenient and nondestructive,so it's widely used.But the effectiveness of this method will be affected by the source,rainwater,and double-peak spectrum.The damping of the rockfill system and the non-rigid connecting between the additive mass and rockfill object are analyzed.The theoretical analysis is carried out by using mass-spring-damping model and TDF-massspring-damping model.Firstly,the vibration of the rockfill system is analyzed by using a massspring-damping model considering the rockfill damping.The influence of the damping of the rockfill body on the measured vibration frequency and the mass-frequency curve are analyzed.Secondly,the vibration of the rockfill system is analyzed by using a two-degree-of-freedom massspring-damping model considering the non-rigid connecting between the additive mass and rockfill body.The influence of the non-rigid connecting on the measured vibration frequency and the mass-frequency curve are also analyzed.Based on mass-spring-damping model,the formula of received signal spectrum is presented.It shows that the received signal dominant frequency varies with source frequency and also the damping value of the rockfill body.For a given model,the theoretical computed received signal dominant frequencies fit well with the FEM simulated received signal dominant frequencies.It also shows that the received signal dominant frequency becomes higher with the increasing additive mass for low source frequency and small additive mass.This cause some abnormal massfrequency curves.On the other hand,based on TDF-mass-spring-damping model,another formula of received signal spectrum is presented.This formula causes different received signal spectrum results from the results for simple mass-spring-damping model.The mass-frequency curve obtained from a small stiffness connection TDF-mass-spring-damping model has a very small intercept which means small vibration mass of the rockfill body.These results fit well with some FEM simulated mass-frequency curve.For a moderate stiffness connection TDF-massspring-damping model,the theoretical computed received signal spectrum has two peaks when source frequency is high.The first peak fits well with the natural frequency of total mass of the rockfill vibration system for small additive mass.For a big stiffness connection TDF-mass-springdamping model,the theoretical computed received signal spectrum only has one peak near the natural frequency of total mass of the rockfill vibration system.The mass-spring-damping model can be used to explain the phenomenon that the received signal frequency varies with source frequency and rainwater.It can also be used to explain the down-to-up type and decreasing type of abnormal mass-frequency curve in the additive mass testing.The TDF-mass-spring-damping model can be used to explain the phenomenon that the received signal frequency varies with the offset and the contacting area of the additive mass.It can also be used to explain the small-intercept type of abnormal mass-frequency curve and doublepeak spectrum of the received signal.
【Fund】: 国家自然科学基金项目(40604012)资助
【CateGory Index】: P631.4
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