针对稀疏线阵波达方向估计精度较低问题,提出一种稀疏线阵双迭代傅里叶优化方法。基于阵列孔径原理,利用阵列因子与阵元激励间的傅里叶变换关系,构建稀疏线阵构型优化目标函数;提出双迭代傅里叶变换算法,制定合理的旁瓣阈值和旁瓣约束条...针对稀疏线阵波达方向估计精度较低问题,提出一种稀疏线阵双迭代傅里叶优化方法。基于阵列孔径原理,利用阵列因子与阵元激励间的傅里叶变换关系,构建稀疏线阵构型优化目标函数;提出双迭代傅里叶变换算法,制定合理的旁瓣阈值和旁瓣约束条件,依据稀疏率和阵元数将孔径自适应分区,以阵列峰值旁瓣和孔径为约束,由双层嵌套循环迭代优化阵列麦克风数量和位置,获得更低的阵列峰值旁瓣电平。数值仿真和实验结果表明,根据该方法获得的49.5λ孔径、23%稀疏率的稀疏阵列峰值旁瓣电平为-21.59 dB,主瓣宽度为1.03°,角度分辨率为1°,估计误差小于0.01。与其他方法对比,峰值旁瓣低1 d B,优化效率提升50%,由此可证明该方法的有效性和快速性。展开更多
This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor ...This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor series.This expansion enables the reasonable construction of a function describing the NS on the SS.Additionally,by directly incorporating the nonlinear Generalized Hoke-Brown(GHB)strength criterion and utilizing the slope factor of safety(FOS)definition,a function of the shear stress on the SS is derived.This function considers the mutual feedback mechanism between the NS and strength parameters of the SS.The stress constraints conditions are then introduced at both ends of the SS based on the spatial stress relation of one point.Determining the slope FOS and stress solution for the SS involves considering the mechanical equilibrium conditions and the stress constraint conditions satisfied by the sliding body.The proposed approach successfully simulates the tension-shear stress zone near the slope top and provides an intuitive description of the concentration effect of compression-shear stress of the SS near the slope toe.Furthermore,compared to other methods,the present method demonstrates superior processing capabilities for the embedded nonlinear GHB strength criterion.展开更多
文摘针对稀疏线阵波达方向估计精度较低问题,提出一种稀疏线阵双迭代傅里叶优化方法。基于阵列孔径原理,利用阵列因子与阵元激励间的傅里叶变换关系,构建稀疏线阵构型优化目标函数;提出双迭代傅里叶变换算法,制定合理的旁瓣阈值和旁瓣约束条件,依据稀疏率和阵元数将孔径自适应分区,以阵列峰值旁瓣和孔径为约束,由双层嵌套循环迭代优化阵列麦克风数量和位置,获得更低的阵列峰值旁瓣电平。数值仿真和实验结果表明,根据该方法获得的49.5λ孔径、23%稀疏率的稀疏阵列峰值旁瓣电平为-21.59 dB,主瓣宽度为1.03°,角度分辨率为1°,估计误差小于0.01。与其他方法对比,峰值旁瓣低1 d B,优化效率提升50%,由此可证明该方法的有效性和快速性。
基金Project(52278380)supported by the National Natural Science Foundation of ChinaProject(2023JJ30670)supported by the National Science Foundation of and Technology Major Project of Hunan Province,China。
文摘This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor series.This expansion enables the reasonable construction of a function describing the NS on the SS.Additionally,by directly incorporating the nonlinear Generalized Hoke-Brown(GHB)strength criterion and utilizing the slope factor of safety(FOS)definition,a function of the shear stress on the SS is derived.This function considers the mutual feedback mechanism between the NS and strength parameters of the SS.The stress constraints conditions are then introduced at both ends of the SS based on the spatial stress relation of one point.Determining the slope FOS and stress solution for the SS involves considering the mechanical equilibrium conditions and the stress constraint conditions satisfied by the sliding body.The proposed approach successfully simulates the tension-shear stress zone near the slope top and provides an intuitive description of the concentration effect of compression-shear stress of the SS near the slope toe.Furthermore,compared to other methods,the present method demonstrates superior processing capabilities for the embedded nonlinear GHB strength criterion.
