区域聚焦照射(regional focusing irradiation)能将信号能量准确投送至指定区域,但阵列的超稀疏性使得副瓣区域能量较高,在实施精确电子战时极大增加了干扰系统遭受打击的风险,因此副瓣区域能量抑制问题必须加以解决.本文提出一种基于L...区域聚焦照射(regional focusing irradiation)能将信号能量准确投送至指定区域,但阵列的超稀疏性使得副瓣区域能量较高,在实施精确电子战时极大增加了干扰系统遭受打击的风险,因此副瓣区域能量抑制问题必须加以解决.本文提出一种基于L∞范数评估栅瓣区域能量的方法,将其作为正则项引入区域聚焦照射模型以抑制副瓣区域最大能量,并建立了多目标优化模型.采用交替方向乘子(alternating direction method of multipliers)框架将原问题分解为两个子问题:对于恒模约束下二次规划子问题I,采用贪婪算法给出其闭式解;对于无约束L_(2)⁃L_(∞)范数的子问题II,将L_(∞)范数做近似光滑化处理,并通过梯度下降法求解.交替求解两个子问题至收敛,以求解发射信号.仿真实验表明,本文模型在副瓣区域能量抑制上较基于L1范数的区域聚焦照射模型具有更优性能,且本文算法实用性更强.展开更多
Debris slopes are widely distributed across the Three Gorges Reservoir area in China,and seasonal fluctuations of the water level in the area tend to cause high-frequency microseisms that subsequently induce landslide...Debris slopes are widely distributed across the Three Gorges Reservoir area in China,and seasonal fluctuations of the water level in the area tend to cause high-frequency microseisms that subsequently induce landslides on such debris slopes.In this study,a cumulative damage model of debris slope with varying slope characteristics under the effects of frequent microseisms was established,based on the accurate definition of slope damage variables.The cumulative damage behaviour and the mechanisms of slope instability and sliding under frequent microseisms were thus systematically investigated through a series of shaking table tests and discrete element numerical simulations,and the influences of related parameters such as bedrock,dry density and stone content were discussed.The results showed that the instability mode of a debris slope can be divided into a vibration-compaction stage,a crack generation stage,a crack development stage,and an instability stage.Under the action of frequent microseisms,debris slope undergoes the last three stages cyclically,which causes the accumulation to slide out in layers under the synergistic action of tension and shear,causing the slope to become destabilised.There are two sliding surfaces as well as the parallel tensile surfaces in the final instability of the debris slope.In the process of instability,the development trend of the damage accumulation curve remains similar for debris slopes with different parameters.However,the initial vibration compaction effect in the bedrock-free model is stronger than that in the bedrock model,with the overall cumulative damage degree in the former being lower than that of the latter.The damage degree of the debris slope with high dry density also develops more slowly than that of the debris slope with low dry density.The damage development rate of the debris slope does not always decrease with the increase of stone content.The damage degree growth rate of the debris slope with the optimal stone content is the lowest,and the increase or decrease of the stone content makes the debris slope instability happen earlier.The numerical simulation study also further reveals that the damage in the debris slope mainly develops in the form of crack formation and penetration,in which,shear failure occurs more frequently in the debris slope.展开更多
文摘区域聚焦照射(regional focusing irradiation)能将信号能量准确投送至指定区域,但阵列的超稀疏性使得副瓣区域能量较高,在实施精确电子战时极大增加了干扰系统遭受打击的风险,因此副瓣区域能量抑制问题必须加以解决.本文提出一种基于L∞范数评估栅瓣区域能量的方法,将其作为正则项引入区域聚焦照射模型以抑制副瓣区域最大能量,并建立了多目标优化模型.采用交替方向乘子(alternating direction method of multipliers)框架将原问题分解为两个子问题:对于恒模约束下二次规划子问题I,采用贪婪算法给出其闭式解;对于无约束L_(2)⁃L_(∞)范数的子问题II,将L_(∞)范数做近似光滑化处理,并通过梯度下降法求解.交替求解两个子问题至收敛,以求解发射信号.仿真实验表明,本文模型在副瓣区域能量抑制上较基于L1范数的区域聚焦照射模型具有更优性能,且本文算法实用性更强.
基金funded by the Natural Science Foundation of Chongqing municipality(Grant No.CSTC2021JCYJMSXMX0558)the National Key R&D Program of China(Grant No.2018YFC1504802)the Fundamental Research Funds for the Central Universities(Project No.2019CDCG0013)。
文摘Debris slopes are widely distributed across the Three Gorges Reservoir area in China,and seasonal fluctuations of the water level in the area tend to cause high-frequency microseisms that subsequently induce landslides on such debris slopes.In this study,a cumulative damage model of debris slope with varying slope characteristics under the effects of frequent microseisms was established,based on the accurate definition of slope damage variables.The cumulative damage behaviour and the mechanisms of slope instability and sliding under frequent microseisms were thus systematically investigated through a series of shaking table tests and discrete element numerical simulations,and the influences of related parameters such as bedrock,dry density and stone content were discussed.The results showed that the instability mode of a debris slope can be divided into a vibration-compaction stage,a crack generation stage,a crack development stage,and an instability stage.Under the action of frequent microseisms,debris slope undergoes the last three stages cyclically,which causes the accumulation to slide out in layers under the synergistic action of tension and shear,causing the slope to become destabilised.There are two sliding surfaces as well as the parallel tensile surfaces in the final instability of the debris slope.In the process of instability,the development trend of the damage accumulation curve remains similar for debris slopes with different parameters.However,the initial vibration compaction effect in the bedrock-free model is stronger than that in the bedrock model,with the overall cumulative damage degree in the former being lower than that of the latter.The damage degree of the debris slope with high dry density also develops more slowly than that of the debris slope with low dry density.The damage development rate of the debris slope does not always decrease with the increase of stone content.The damage degree growth rate of the debris slope with the optimal stone content is the lowest,and the increase or decrease of the stone content makes the debris slope instability happen earlier.The numerical simulation study also further reveals that the damage in the debris slope mainly develops in the form of crack formation and penetration,in which,shear failure occurs more frequently in the debris slope.
