Based on the independent, continuous and map- ping （ICM） method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter f...Based on the independent, continuous and map- ping （ICM） method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter func- tion and the corresponding stiffness filter function of the form of power function. The efficiency in searching for op- timum solution will be raised via the choice of rational filter functions, so the above mentioned results are very important to the further study of structural topology optimization.展开更多
A new exact and universal conformal mapping is proposed. Using Muskhelishvili＇s complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natu...A new exact and universal conformal mapping is proposed. Using Muskhelishvili＇s complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors （SIFs） for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II.展开更多
The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real...The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.展开更多
In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of th...In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions.展开更多
带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性...带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性分析。为此,提出了一种结合切换理论和混合势函数法的统一大信号稳定性分析方法。该方法以快慢切换驻留时间为界,划分了切换系统快慢切换稳定域,并以满足不同驻留时间为条件,提出不同域的大信号稳定性分析原则。以PCPL-DCPS为研究对象进行仿真试验,对比单模态稳定性判据和渐进稳定域域界,验证了快慢切换稳定域界划分和分析方法更合理,并进一步将切换系统稳定性与脉冲频率关联,得到了更为统一和直观的表达式。所述方法适用于全时段的切换电力系统,也可扩展应用到带脉冲负载的交流供电系统的稳定性研究中,进一步指导脉冲负载的峰值功率、脉冲频率等参数的选取。展开更多
基金supported by the National Natural Science Foundation of China(11172013)Foundation of National Key Laboratory for Structural Analysis of Industrial Equipment in Dalian University of Technology Foundations(GZ1008)
文摘Based on the independent, continuous and map- ping （ICM） method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter func- tion and the corresponding stiffness filter function of the form of power function. The efficiency in searching for op- timum solution will be raised via the choice of rational filter functions, so the above mentioned results are very important to the further study of structural topology optimization.
基金supported by the National Natural Science Foundation of China(Nos.10932001,11072015, and 10761005)the Scientific Research Key Program of Beijing Municipal Commission of Education (No.KZ201010005003)+1 种基金the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20101102110016)the Ph.D.Innovation Foundation of Beijing University of Aeronautics and Astronautics(No.300351)
文摘A new exact and universal conformal mapping is proposed. Using Muskhelishvili＇s complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors （SIFs） for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II.
基金Project supported by the National Natural Science Foundation of China(Nos.11172233,11302169,11302170,and 11472212)the Fundamental Research Funds for the Central Universities(No.3102014JCQ01079)
文摘The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.
文摘In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions.
文摘带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性分析。为此,提出了一种结合切换理论和混合势函数法的统一大信号稳定性分析方法。该方法以快慢切换驻留时间为界,划分了切换系统快慢切换稳定域,并以满足不同驻留时间为条件,提出不同域的大信号稳定性分析原则。以PCPL-DCPS为研究对象进行仿真试验,对比单模态稳定性判据和渐进稳定域域界,验证了快慢切换稳定域界划分和分析方法更合理,并进一步将切换系统稳定性与脉冲频率关联,得到了更为统一和直观的表达式。所述方法适用于全时段的切换电力系统,也可扩展应用到带脉冲负载的交流供电系统的稳定性研究中,进一步指导脉冲负载的峰值功率、脉冲频率等参数的选取。
