Hardening reliability-critical gates in a circuit is an important step to improve the circuit reliability at a low cost.However,accurately locating the reliability-critical gates is a key prerequisite for the efficien...Hardening reliability-critical gates in a circuit is an important step to improve the circuit reliability at a low cost.However,accurately locating the reliability-critical gates is a key prerequisite for the efficient implementation of the hardening operation.In this paper,a probabilistic-based calculation method developed for locating the reliabilitycritical gates in a circuit is described.The proposed method is based on the generation of input vectors and the sampling of reliability-critical gates using uniform non-Bernoulli sequences,and the criticality of the gate reliability is measured by combining the structure information of the circuit itself.Both the accuracy and the efficiency of the proposed method have been illustrated by various simulations on benchmark circuits.The results show that the proposed method has an efficient performance in locating accuracy and algorithm runtime.展开更多
In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properti...In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties of the eigenpairs and introduce a suitable numerical shooting method scheme for approximating them. We present the perturbation and the numerical approximations of the first and second buckling loads and the corresponding shapes.展开更多
The problem of quick analysis using exact geometry data was proposed by Hughes et al. and the isogeometric analysis framework was introduced as a solution. In this letter, the exact geometry concept is combined into t...The problem of quick analysis using exact geometry data was proposed by Hughes et al. and the isogeometric analysis framework was introduced as a solution. In this letter, the exact geometry concept is combined into the quasi-conforming framework and a novel method, i.e., the exact geometry based quasi-conforming analysis is proposed. In present method the geometry is exactly described by non-uniform rational B-spline bases, while the solution space by traditional polynomial bases. Present method combines the merits of both isogeometric analysis and quasi-conforming finite element method. In this letter Euler-Bernoulli beam problem is solved as an example and the results show that the present method is effective and promising.展开更多
基金supported by the National Natural Science Foundation of China(Nos.61972354,61432017,61772199,61802347,and 61503338)the Natural Science Foundation of Zhejiang Province(Nos.LY18F020028 and LY18F030023)the Innovative Experiment Project of Zhejiang University of Technology(No.PX-68182112)。
文摘Hardening reliability-critical gates in a circuit is an important step to improve the circuit reliability at a low cost.However,accurately locating the reliability-critical gates is a key prerequisite for the efficient implementation of the hardening operation.In this paper,a probabilistic-based calculation method developed for locating the reliabilitycritical gates in a circuit is described.The proposed method is based on the generation of input vectors and the sampling of reliability-critical gates using uniform non-Bernoulli sequences,and the criticality of the gate reliability is measured by combining the structure information of the circuit itself.Both the accuracy and the efficiency of the proposed method have been illustrated by various simulations on benchmark circuits.The results show that the proposed method has an efficient performance in locating accuracy and algorithm runtime.
文摘In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties of the eigenpairs and introduce a suitable numerical shooting method scheme for approximating them. We present the perturbation and the numerical approximations of the first and second buckling loads and the corresponding shapes.
基金supported by the Key Project of the National Natural Science Foundation of China(10932003,11272075)the National Basic Research Program of China(2010CB832700)"04"Great Project of Ministry of Industrialization and Information of China(2011ZX04001-21)
文摘The problem of quick analysis using exact geometry data was proposed by Hughes et al. and the isogeometric analysis framework was introduced as a solution. In this letter, the exact geometry concept is combined into the quasi-conforming framework and a novel method, i.e., the exact geometry based quasi-conforming analysis is proposed. In present method the geometry is exactly described by non-uniform rational B-spline bases, while the solution space by traditional polynomial bases. Present method combines the merits of both isogeometric analysis and quasi-conforming finite element method. In this letter Euler-Bernoulli beam problem is solved as an example and the results show that the present method is effective and promising.
