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组合体结构随机地震动响应的简明解法 被引量:3
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作者 李创第 杨雪峰 +1 位作者 李宇翔 葛新广 《地震工程与工程振动》 CSCD 北大核心 2023年第1期24-33,共10页
在两相邻结构间设置耗能阻尼器能有效降低结构在地震作用下的响应,文中对相邻建筑结构设置Maxwell型阻尼器而形成组合体的结构地震动响应进行了研究。频域法中,结构响应功率谱表示为频率响应特征函数模值平方项(称之为频率响应特征值函... 在两相邻结构间设置耗能阻尼器能有效降低结构在地震作用下的响应,文中对相邻建筑结构设置Maxwell型阻尼器而形成组合体的结构地震动响应进行了研究。频域法中,结构响应功率谱表示为频率响应特征函数模值平方项(称之为频率响应特征值函数)与随机激励功率谱的乘积,文中提出了响应功率谱二次正交化法并获得了结构系列响应(绝对位移与层间位移)0~2阶谱矩及方差的简明封闭解。首先,综合复模态法与虚拟激励法提出了组合体结构频率响应特征值函数的二次正交式;其次,运用留数定律给出胡聿贤地震谱的二次正交式,由此求解出组合体结构响应功率谱密度函数的二次正交式;最后,得到了组合体结构系列响应0~2阶谱矩及方差的简明封闭解。通过算例验证了所提方法的正确性,并验证了相邻结构间设置连接阻尼器具有良好的减震性能。 展开更多
关键词 组合体结构 简明封闭解 二次正交式 留数定律 谱矩
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Mechanical response and impact tendency index correction of gangue-coal combined structure
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作者 WEN Zhi-jie XU Chang-long +2 位作者 GONG Feng-qiang ZUO Yu-jun SONG Zhen-qi 《Journal of Central South University》 2025年第6期2288-2306,共19页
To investigate the mechanical response during failure and the impact tendency characteristics of gangue-coal combined structure,uniaxial compression tests were conducted on nine groups of combined structures,each with... To investigate the mechanical response during failure and the impact tendency characteristics of gangue-coal combined structure,uniaxial compression tests were conducted on nine groups of combined structures,each with varying gangue thicknesses and positions.The response patterns of compressive strength,elastic modulus,pre-peak accumulated energy,elastic energy index,and impact energy index were systematically analyzed.Furthermore,a new index for evaluating the impact tendency of gangue-containing coal was proposed,and its effectiveness was verified.The findings are as follows:(1)As the gangue thickness increases,both the compressive strength and the pre-peak energy of the combined structure decrease,whereas the elastic modulus increases accordingly.When the gangue is located in the lower middle position,the combined structure exhibits the lowest compressive strength and elastic modulus but the highest pre peak energy.(2)As the gangue shifts toward the middle position of the combined structure,the failure mode gradually transitions from comple te“crushing”failure to an incomplete“point-type”failure.As gangue thickness further increases,the failure region evolves from overall failure to localized failure,with the degree of failure shifting from complete to incomplete.The K_(crc)value corresponding to“crushing”complete failure is higher and has a stronger impact tendency compared to“point-type”incomplete failure.(3)The proposed comprehensive impact instability evaluation index K_(crc)for the gangue-coal combined structure has shown a significant positive correlation with compressive strength(R_(c))and impact energy index(K_(E)),further verifyi ng its rationality in comprehensively assessing the impact tendency of gangue-containing coal bodies.Applying this index to the evaluation of gangue-containing coal seams provides a more accurate reflection of their impact tendency compared with the residual energy index,which has a wide range of potential applications and practical significance. 展开更多
关键词 gangue-coal combined structure mechanical response peak elastic energy density difference impact tendency comprehensive impact instability index
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