针对大型复杂结构极限状态方程一般难以显式表达的特点,提出了基于最小二乘支持向量机(the leastsquare support vector machine,LS-SVM)的结构可靠度评估方法。该方法采用均匀抽样法抽取随机变量样本,应用确定性有限元求解器进行数值...针对大型复杂结构极限状态方程一般难以显式表达的特点,提出了基于最小二乘支持向量机(the leastsquare support vector machine,LS-SVM)的结构可靠度评估方法。该方法采用均匀抽样法抽取随机变量样本,应用确定性有限元求解器进行数值计算。将样本数据进行训练,利用最小二乘支持向量机建立随机变量与结构响应之间的非线性映射关系,模拟结构极限状态方程。通过计算极限状态方程值和偏导数值,求解优化问题,计算结构可靠指标。结果表明,该方法能够评估隐式极限状态方程的结构可靠度,具有较高的计算精度和较好的计算效率。展开更多
A concrete numerical example of Z6-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 having at least 24 limit cycles and the configurations of compound eyes are given by using the bifurcati...A concrete numerical example of Z6-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 having at least 24 limit cycles and the configurations of compound eyes are given by using the bifurcation theory of planar dynamical systems and the method of detection functions. There is reason to conjecture that the Hilbert number H(2k + 1) ? (2k + I)2 - 1 for the perturbed Hamiltonian systems.展开更多
In this paper, we obtain functional limit theorems for d-dimensional FBM in HSlder norm via estimating large deviation probabilities for d-dimensional FBM in HSlder norm.
文摘针对大型复杂结构极限状态方程一般难以显式表达的特点,提出了基于最小二乘支持向量机(the leastsquare support vector machine,LS-SVM)的结构可靠度评估方法。该方法采用均匀抽样法抽取随机变量样本,应用确定性有限元求解器进行数值计算。将样本数据进行训练,利用最小二乘支持向量机建立随机变量与结构响应之间的非线性映射关系,模拟结构极限状态方程。通过计算极限状态方程值和偏导数值,求解优化问题,计算结构可靠指标。结果表明,该方法能够评估隐式极限状态方程的结构可靠度,具有较高的计算精度和较好的计算效率。
基金This work was supported by the Strategic Research (Grant No. 7000934) from the City University of Hong Kong.
文摘A concrete numerical example of Z6-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 having at least 24 limit cycles and the configurations of compound eyes are given by using the bifurcation theory of planar dynamical systems and the method of detection functions. There is reason to conjecture that the Hilbert number H(2k + 1) ? (2k + I)2 - 1 for the perturbed Hamiltonian systems.
基金1)This work is supported by NSFC(10571159),SRFDP(2002335090)and KRF(D00008)2)This work is supported by NSFC(10401037)and China Postdoctoral Science Foundation3)This work is supported by the Brain Korea 21 Project in 2005
文摘In this paper, we obtain functional limit theorems for d-dimensional FBM in HSlder norm via estimating large deviation probabilities for d-dimensional FBM in HSlder norm.
