In this paper we show that an -stable diffeomorphism has the weak inverse shadowing property with respect to classes of continuous method and and some of the -stable diffeomorphisms have weak inverse shadowing propert...In this paper we show that an -stable diffeomorphism has the weak inverse shadowing property with respect to classes of continuous method and and some of the -stable diffeomorphisms have weak inverse shadowing property with respect to classes . In addition we study relation between minimality and weak inverse shadowing property with respect to class and relation between expansivity and inverse shadowing property with respect to class .展开更多
Considering a demand response(DR)based social welfare maximization model,a complementarity problem based on the Karush-Kuhn-Tuker condition is described,which is a non-dual method for determining real-time price for s...Considering a demand response(DR)based social welfare maximization model,a complementarity problem based on the Karush-Kuhn-Tuker condition is described,which is a non-dual method for determining real-time price for smart grids.The Lagrange multiplier in the dual method,which is used to determine the basic electricity price,is applied in the model.The proposed method computes the optimal electricity consumption,price and production.According to the electricity price,users can arrange their electricity equipment reasonably to reduce the consumption pressure at peak time.The model aims to encourage users to actively participate in the DR and realize peak cutting and valley filling.In addition,the model considers different utility functions representing three types of users.Finally,a Jacobian smoothing version of Newton method is used to solve the model.Statistical simulations of the model validate the rationality and feasibility of the proposed method.展开更多
Pre-driven longwall retracement roadway(PLRR)is commonly used in large mine shaft.The support crushing disasters occur frequently during the retracement,and roof management is necessary.Taking the 31107 panel as resea...Pre-driven longwall retracement roadway(PLRR)is commonly used in large mine shaft.The support crushing disasters occur frequently during the retracement,and roof management is necessary.Taking the 31107 panel as research background,the roof breaking structure of PLRR is analyzed.It is concluded that the roof cutting with vertical hydraulic fracture(HF)at a specified position,that is,fixed-length roof cutting,can reduce support load and keep immediate roof intact.The extended finite element method(XFEM)is applied to simulate hydraulic fracturing.The results show that both the axial and transverse hydraulic fracturing cannot effectively create vertical HFs.Therefore,a novel construction method of vertical HF based on the stress shadow effect(SSE)is proposed.The stress reversal region and HF orientation caused by the prefabricated hydraulic fracture(PF)are verified in simulation.The sub-vertical HFs are obtained between two PFs,the vertical extension range of which is much larger than that of directional hydraulic fracturing.The new construction method was used to determine the field plan for fixed-length roof cutting.The roof formed a stable suspended structure and deformation of the main PLRR was improved after hydraulic fracturing.展开更多
文摘In this paper we show that an -stable diffeomorphism has the weak inverse shadowing property with respect to classes of continuous method and and some of the -stable diffeomorphisms have weak inverse shadowing property with respect to classes . In addition we study relation between minimality and weak inverse shadowing property with respect to class and relation between expansivity and inverse shadowing property with respect to class .
基金supported in part by the National Natural Science Foundation of China(No.11171221)the Shared University research(SUR:2015021).
文摘Considering a demand response(DR)based social welfare maximization model,a complementarity problem based on the Karush-Kuhn-Tuker condition is described,which is a non-dual method for determining real-time price for smart grids.The Lagrange multiplier in the dual method,which is used to determine the basic electricity price,is applied in the model.The proposed method computes the optimal electricity consumption,price and production.According to the electricity price,users can arrange their electricity equipment reasonably to reduce the consumption pressure at peak time.The model aims to encourage users to actively participate in the DR and realize peak cutting and valley filling.In addition,the model considers different utility functions representing three types of users.Finally,a Jacobian smoothing version of Newton method is used to solve the model.Statistical simulations of the model validate the rationality and feasibility of the proposed method.
基金financially supported by the Postgraduate Research&Practice Innovation Program of Jiangsu Province(KYCX21_2358)the National Key Research and Development Program of China(2020YFB1314204)National Natural Science Foundation of China(No.52074239)。
文摘Pre-driven longwall retracement roadway(PLRR)is commonly used in large mine shaft.The support crushing disasters occur frequently during the retracement,and roof management is necessary.Taking the 31107 panel as research background,the roof breaking structure of PLRR is analyzed.It is concluded that the roof cutting with vertical hydraulic fracture(HF)at a specified position,that is,fixed-length roof cutting,can reduce support load and keep immediate roof intact.The extended finite element method(XFEM)is applied to simulate hydraulic fracturing.The results show that both the axial and transverse hydraulic fracturing cannot effectively create vertical HFs.Therefore,a novel construction method of vertical HF based on the stress shadow effect(SSE)is proposed.The stress reversal region and HF orientation caused by the prefabricated hydraulic fracture(PF)are verified in simulation.The sub-vertical HFs are obtained between two PFs,the vertical extension range of which is much larger than that of directional hydraulic fracturing.The new construction method was used to determine the field plan for fixed-length roof cutting.The roof formed a stable suspended structure and deformation of the main PLRR was improved after hydraulic fracturing.
