不同频率增幅-降幅加卸载条件下红砂岩动力参数及耗散能研究  

Study on Dynamic Parameters and Dissipative Energy of Red Sandstone Under Loading and Unloading Conditions with Different Frequencies in Stress Increasing and Decreasing Stages

作　　者：朱明礼[1] 令狐朋 唐胡丹[2] 邓浩 ZHU Mingli;LINGHU Peng;TANG Hudang;DENG Hao(School of Energy Science and Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China;School of Civil Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China)

机构地区：[1]河南理工大学能源科学与工程学院,河南焦作市454003 [2]河南理工大学土木工程学院,河南焦作市454003

出　　处：《矿业研究与开发》2021年第2期81-86,共6页Mining Research and Development

基　　金：国家自然科学基金资助项目(51404095,51674101);河南省教育厅科学技术研究重点项目(13B560040,16A560020);河南理工大学科学研究博士基金项目(B2011-105).

摘　　要：对饱和红砂岩在RMT-150b岩石力学试验机上进行了不同频率、不同动应力系数下的循环加卸载试验,探讨应力增幅阶段和降幅阶段内红砂岩的动弹性模量、阻尼比、阻尼系数、滞回环宽度等与加载频率和动应力系数的关系。结果表明,在应力增幅阶段动弹性模量随着动应力系数的增加而呈现抛物线递增,在应力降幅阶段动弹性模量随着动应力系数的增加而呈现线性递增;阻尼比随着动应力系数增加呈现开口向上的抛物线递减,随频率呈现幂函数递增;而阻尼系数随动应力系数的增加呈现幂函数递减,随频率增加呈现开口向上的抛物线递增;动应力-动应变滞回环最大宽度随着动应力系数的增加,在应力增幅阶段呈现线性递增,而在应力降幅阶段呈现抛物线递增。滞回环最大宽度随着频率的增加呈现曲线开口向下的对数递增;滞回环最大宽度与幅值的乘积与滞回环面积存在线性函数规律;在相同频率、相同幅值条件下,应力增幅阶段的动弹性模量、阻尼比、阻尼系数、最大滞回环宽度等均大于应力降幅阶段。Cyclic loading and unloading tests on saturated red sandstone with different frequencies and dynamic stress coefficients were carried out on RMT-150brock mechanics testing machine.The relationship between dynamic elastic modulus,damping ratio,damping coefficient,hysteresis loop width and other factors with loading frequency and dynamic stress coefficient of red sandstone in stress increasing and decreasing stages was discussed.The results show that,with the increase of the dynamic stress coefficient,the dynamic elastic modulus increases parabolically in the stress increasing stage,and increases linearly in the stress decreasing stage.The damping ratio decreases parabolically with the increase of the dynamic stress coefficient,and increases with the increase of the frequency as a power function.The damping coefficient decreases with the increase of dynamic stress coefficient as a power function,and increases with the increase of frequency as a parabola going upwards.The maximum dynamic stress-strain hysteresis loop width increases linearly with the increase of the dynamic stress coefficient in the increasing stage,and shows a parabolic increasing in the decreasing stage.The maximum hysteresis loop width increases logarithmically with the increase of frequency as a curve going downwards.There is a linear function law between the product of the maximum width and amplitude of the hysteresis loop with the area of the hysteresis loop.Under the same frequency and the same amplitude,the dynamic elastic modulus,damping ratio,damping coefficient,and the maximum hysteresis loop width in the stress increasing stage are larger than those in the stress decreasing stage.

关 键 词：红砂岩 动弹性模量 阻尼比 阻尼系数 滞回环宽度 

分 类 号：TD315[矿业工程—矿井建设]