The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were der...The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given.Both the analysis and examples show that EEP method also works very well for the problems with vector function solutions.The EEP method gives super_convergent nodal stresses,which are well comparable to the nodal displacements in terms of both convergence rate and error magnitude.And in addition,it can overcome the “shear locking” difficulty for stresses even when the displacements are badly affected.This research paves the way for application of the EEP method to general one_dimensional systems of ordinary differential equations.展开更多
本文提出一种突破衍射极限的红外显微成像方法,该方法基于抽运-探测模式,采用了环形而非高斯型强度分布的抽运光,由于样品在环形光强度峰值附近区域达到吸收饱和,因此当高斯分布的探测光随后到达样品时,只有环形光的中心区域才能吸收探...本文提出一种突破衍射极限的红外显微成像方法,该方法基于抽运-探测模式,采用了环形而非高斯型强度分布的抽运光,由于样品在环形光强度峰值附近区域达到吸收饱和,因此当高斯分布的探测光随后到达样品时,只有环形光的中心区域才能吸收探测光的能量,而且吸收区域随着环形光的强度增加而减小.这意味着,如果以被吸收的探测光能量作为该成像系统的信号,本文提出的方法可以使系统的分辨率超越衍射极限的限制.本文模拟了不同环形光能量下成像系统的空间分辨率,结果表明:当环形光能量为100 n J、探测光能量为0.1 n J时,该方法的理论分辨率在236 nm,比传统红外显微成像系统分辨率提高了约14倍.展开更多
文摘The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given.Both the analysis and examples show that EEP method also works very well for the problems with vector function solutions.The EEP method gives super_convergent nodal stresses,which are well comparable to the nodal displacements in terms of both convergence rate and error magnitude.And in addition,it can overcome the “shear locking” difficulty for stresses even when the displacements are badly affected.This research paves the way for application of the EEP method to general one_dimensional systems of ordinary differential equations.
文摘本文提出一种突破衍射极限的红外显微成像方法,该方法基于抽运-探测模式,采用了环形而非高斯型强度分布的抽运光,由于样品在环形光强度峰值附近区域达到吸收饱和,因此当高斯分布的探测光随后到达样品时,只有环形光的中心区域才能吸收探测光的能量,而且吸收区域随着环形光的强度增加而减小.这意味着,如果以被吸收的探测光能量作为该成像系统的信号,本文提出的方法可以使系统的分辨率超越衍射极限的限制.本文模拟了不同环形光能量下成像系统的空间分辨率,结果表明:当环形光能量为100 n J、探测光能量为0.1 n J时,该方法的理论分辨率在236 nm,比传统红外显微成像系统分辨率提高了约14倍.
