In this paper,the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic ...In this paper,the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic roots,coefficients of elastic compliances in non-principal directions of elasticity and corresponding parameters in principal directions of elasticity are derived.Then,the computing formulae of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain energy release rate.展开更多
为了实现非侵入式负荷监测的功能并提高负荷辨识准确率,文中提出一种基于机器学习的负荷辨识方法。在家用电器电流波形及各次谐波特征的数据中,采用核主成分分析方法(Kernel Principal Components Analysis,KPCA),解决非线性特征提取与...为了实现非侵入式负荷监测的功能并提高负荷辨识准确率,文中提出一种基于机器学习的负荷辨识方法。在家用电器电流波形及各次谐波特征的数据中,采用核主成分分析方法(Kernel Principal Components Analysis,KPCA),解决非线性特征提取与降维的问题,最大限度抽取特征信息。再利用一维卷积核提取时序特征并压缩后输入到XGBoost模型,得到负荷辨识结果。通过在实验室中采集数据进行算法验证,文中提出算法在各类用电器的识别中均具有较高的准确率。展开更多
§1.IntroductionThis paper deals with linear partial differential operators with real principalsymbol.Let P(x,D)be such an operator of mth order with C~∞ coefficients definedin an open subset Ω of R^n and p_m(x,...§1.IntroductionThis paper deals with linear partial differential operators with real principalsymbol.Let P(x,D)be such an operator of mth order with C~∞ coefficients definedin an open subset Ω of R^n and p_m(x,ξ)be its principal symbol.According to thedefinition given by Duistermaat and Hmander(see[1]),P(x,D)is called ofprincipal type at x^0 ∈Ω if for any ξ∈R^n\0 satisfying p_m(x^0,ξ)=0,x=x^0 is not theprojection in Ω of the bicharacteristic strip of P(x,D)through(x^0,ξ).Under thiscondition,they proved that there exists a neighborhood U of x^0,U,such that forany real number s,展开更多
文摘In this paper,the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic roots,coefficients of elastic compliances in non-principal directions of elasticity and corresponding parameters in principal directions of elasticity are derived.Then,the computing formulae of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain energy release rate.
文摘为了实现非侵入式负荷监测的功能并提高负荷辨识准确率,文中提出一种基于机器学习的负荷辨识方法。在家用电器电流波形及各次谐波特征的数据中,采用核主成分分析方法(Kernel Principal Components Analysis,KPCA),解决非线性特征提取与降维的问题,最大限度抽取特征信息。再利用一维卷积核提取时序特征并压缩后输入到XGBoost模型,得到负荷辨识结果。通过在实验室中采集数据进行算法验证,文中提出算法在各类用电器的识别中均具有较高的准确率。
文摘§1.IntroductionThis paper deals with linear partial differential operators with real principalsymbol.Let P(x,D)be such an operator of mth order with C~∞ coefficients definedin an open subset Ω of R^n and p_m(x,ξ)be its principal symbol.According to thedefinition given by Duistermaat and Hmander(see[1]),P(x,D)is called ofprincipal type at x^0 ∈Ω if for any ξ∈R^n\0 satisfying p_m(x^0,ξ)=0,x=x^0 is not theprojection in Ω of the bicharacteristic strip of P(x,D)through(x^0,ξ).Under thiscondition,they proved that there exists a neighborhood U of x^0,U,such that forany real number s,