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常磁场下铁磁矩形薄板的非线性固有振动
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作者 陶善泽 胡宇达 《振动与冲击》 EI CSCD 北大核心 2023年第3期74-82,共9页
通过建立磁场中铁磁矩形板的力学模型,对其在常磁场下的非线性固有振动问题进行研究,并分析静载效应。根据哈密顿变分原理,得到磁场中铁磁矩形板的磁弹性非线性振动方程,给出磁化电磁力和涡流电磁力表达式。基于摄动展开法,确定静磁力... 通过建立磁场中铁磁矩形板的力学模型,对其在常磁场下的非线性固有振动问题进行研究,并分析静载效应。根据哈密顿变分原理,得到磁场中铁磁矩形板的磁弹性非线性振动方程,给出磁化电磁力和涡流电磁力表达式。基于摄动展开法,确定静磁力作用下的静挠度和非线性扰动方程。应用伽辽金法与多尺度法,得出振动系统近似解析解和固有频率表达式。通过算例,给出了3种材料的矩形薄板固有频率随时间、磁场强度、初值、边长比等的变化规律特性曲线图。结果表明:固有频率随时间的增大,最终会趋于一定值,随上下表面磁场的变化,会呈现出对称的趋势,随边长比的增大,其频率会逐渐减小;系统呈现典型的非线性特征,解析解与数值解较为吻合。 展开更多
关键词 铁磁矩形板 非线性固有振动 常磁场 静载效应 多尺度法
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Brazilian disc test study on tensile strength-weakening effect of high pre-loaded red sandstone under dynamic disturbance 被引量:20
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作者 GONG Feng-qiang WU Wu-xing ZHANG Le 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第10期2899-2913,共15页
Tensile failure(spalling or slabbing)often occurs on the sidewall of deep tunnel,which is closely related to the coupled stress state of deep rock mass under high pre-static load and dynamic disturbance.To reveal the ... Tensile failure(spalling or slabbing)often occurs on the sidewall of deep tunnel,which is closely related to the coupled stress state of deep rock mass under high pre-static load and dynamic disturbance.To reveal the mechanism of rock tensile failure caused by this coupled stress mode,the Brazilian disc tests were carried on red sandstone under high pre-static load induced by dynamic disturbance.Based on the pure static tensile fracture load of red sandstone specimen,two static load levels(80%and 90%of the pure static tensile fracture load)were selected as the initial high pre-static loading state,and then the dynamic disturbance load was applied until the rock specimen was destroyed.The dynamic disturbance loading mode adopted a sinusoidal wave(sine-wave)load,and the loading wave amplitude was 20%and 10%of the pure static tensile fracture load,respectively.The dynamic disturbance frequencies were set to 1,10,20,30,40,and 50 Hz.The results show that the tensile failure strength and peak displacement of red sandstone specimens under coupled load actions are lower than those under pure static tensile load,and both parameters decrease significantly with the increase of dynamic disturbance frequency.With the increase of dynamic disturbance frequency,the decrease range of tensile strength of red sandstone increased from 3.3%to 9.4%when the pre-static load level is 80%.While when the pre-static load level is 90%,the decrease range will increase from 7.4%to 11.6%.This weakening effect of tensile strength shows that the deep surrounding rock is more likely to fail under the coupled load actions of pre-static load and dynamic disturbance.In this tensile failure mechanism of the deep surrounding rock,the stress environment of deep sidewall rock determines that the failure mode of rock is a tensile failure,the pre-static load level dominates the tensile failure strength of surrounding rock,and dynamic disturbance promotes the strength-weakening effect and affects the weakening range. 展开更多
关键词 SPALLING deep surrounding rock strength-weakening effect pre-static load dynamic disturbance tensile failure Brazilian disc test
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