Dear Editor,This letter studies the input-to-state stability(ISS)for a class of impulsive switched systems,where uncertain impulse-switching moments are involved.The robustness of ISS with respect to the perturbations...Dear Editor,This letter studies the input-to-state stability(ISS)for a class of impulsive switched systems,where uncertain impulse-switching moments are involved.The robustness of ISS with respect to the perturbations of the occurrence time of impulse-switching moments is revealed by several less conservative dwell-time conditions for the uncertain impulse-switching moments combined with Lyapunov conditions.Moreover,the Lyapunov conditions have multiple coefficients at discrete time so as to handle the hybrid effect of impulse-switching moments,and the case that time derivative of Lyapunov function is indefinite is also taken into account.Finally,a numerical example is proposed to illustrate the effectiveness of the theoretical results.展开更多
Dear Editor,This letter studies finite-time input-to-state stability(FTISS)for impulsive switched systems.A set of Lyapunov-based conditions are established for guaranteeing FTISS property.When constituent modes gover...Dear Editor,This letter studies finite-time input-to-state stability(FTISS)for impulsive switched systems.A set of Lyapunov-based conditions are established for guaranteeing FTISS property.When constituent modes governing continuous dynamics are FTISS and discrete dynamics involving impulses are destabilizing,the FTISS can be retained if impulsive-switching signals satisfy an average dwell-time(ADT)condition.展开更多
Dear Editor,This letter establishes several criteria for fixed-time stability and predefined-time stability of impulsive systems.First,sufficient conditions for fixed-time stability of impulsive systems are presented ...Dear Editor,This letter establishes several criteria for fixed-time stability and predefined-time stability of impulsive systems.First,sufficient conditions for fixed-time stability of impulsive systems are presented to treat the destabilizing impulses and hybrid impulses involving multiple jump maps by fixed-time control without linear feedback regulation.It determines the robustness of nonlinear systems against impulsive disturbance which has destabilizing and hybrid effect to dynamics.展开更多
This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is s...This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is shown that the system can be stabilized by a class of saturated delayed-impulses regardless of the length of input delays. Conversely, when the system is originally stable, it is shown that under some conditions, the system is robust with respect to sufficient small delayed-impulses. Moreover, the design problem of the controller with the goal of obtaining a maximized estimate of the domain of attraction is formulated via a convex optimization problem. Three examples are provided to demonstrate the validity of the main results.展开更多
The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability,the finite-time stability poss...The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability,the finite-time stability possesses the better control performance and disturbance rejection property. Different from the finite-time stability, the fixed-time stability has a faster convergence speed and the upper bound of the settling time can be estimated. Moreover, the convergent time does not rely on the initial information.This work aims at presenting an overview of the finite/fixed-time stabilization and tracking control and its applications in engineering systems. Firstly, several fundamental definitions on the finite/fixed-time stability are recalled. Then, the research results on the finite/fixed-time stabilization and tracking control are reviewed in detail and categorized via diverse input signal structures and engineering applications. Finally, some challenging problems needed to be solved are presented.展开更多
This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information o...This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information of plant’s states,time delays,and exogenous disturbances is often hard to be obtained,the key design challenge,which we resolve,is the construction of a state observer-based controller.For this purpose,we firstly propose a corresponding observer which is independent of time delays and exogenous disturbances to reconstruct(or estimate)the plant’s states.And then based on the observations,we establish an observer-based control design for the plant to achieve the input-to-state stability(ISS)and integral-ISS(iISS)properties.With the help of the comparison principle and average impulse interval approach,some sufficient conditions are presented,and moreover,two different linear matrix inequalities(LMIs)based criteria are proposed to design the gain matrices.Finally,two numerical examples and their simulations are given to show the effectiveness of our theoretical results.展开更多
Natural fractures are widely distributed in shale reservoirs.During the hydraulic fracturing process,frictional slip occurring on natural fractures can increase the reservoir permeability and is of great significance ...Natural fractures are widely distributed in shale reservoirs.During the hydraulic fracturing process,frictional slip occurring on natural fractures can increase the reservoir permeability and is of great significance to improve the efficiency of reservoir stimulation.Shale contains a large amount of clay and organic matter,and its frictional behavior is different from that of other previously studied lithologies.In this paper,the frictional behavior of shale is analyzed,and the results show that the frictional behavior is controlled by the content of clay and organic matter.As the content of clay and organic matter increases,the micro support type transforms from the particle support mode by hard quartz mineral to matrix support mode by plastic clay and organic matter.Accordingly,the shear strength and friction coefficient of shale both decrease,and the shear type transforms from brittle to plastic.When the content of clay and organic matter is low,the asperity of friction surfaces will break in a brittle manner and the wear degree of surfaces is low.Therefore,fractures are still featured by moderate apertures after friction.The lower the content of clay and organic matter is,the easier the asperity of crack surfaces supports themselves,and the higher the fracture residual permeability is.Thus,promoting shear slip is the main measure of reservoir stimulation.However,when the content of clay and organic matter is high,the remaining post-slip fracture aperture is small.It is difficult to increase reservoir permeability through the frictional slip of natural fractures,and in this situation,the proppant support efficiency needs to be improved.展开更多
Anammox is widely considered as the most cost-effective and sustainable process for nitrogen removal.However,how to achieve the enrichment of anammox biomass remains a challenge for its large-scale application,especia...Anammox is widely considered as the most cost-effective and sustainable process for nitrogen removal.However,how to achieve the enrichment of anammox biomass remains a challenge for its large-scale application,especially in mainstream wastewater treatment.In this study,the feasibility of enrichment of anammox biomass was explored through the realization of partial denitrification and the addition of bio-carriers.By using ordinary activated sludge,a sequencing batch reactor(SBR)followed by an up-fow anaerobic sludge bed(UASB)was operated at 25±2℃ for 214 days.The long-term operation was divided into five phases,in which SBR and UASB were started-up in Phases I and II,respectively.By eliminating oxygen and adjusting the infow ratios in Phases III-V,advanced nitrogen removal was achieved with the effuent total nitrogen being 4.7 mg/L and the nitrogen removal efficiency being 90.5%in Phase V.Both in-situ and ex-situ activity tests demonstrated the occurrence of partial denitrification and anammox.Moreover,16S rRNA high-throughput sequencing analysis revealed that Candidatus Brocadia was enriched from below the detection limit to in biofilms(0.4%in SBR,2.2%in UASB)and the foc sludge(0.2%in SBR,1.3%in UASB),while Thauera was mainly detected in the foc sludge(8.1%in SBR,8.8%in UASB),which might play a key role in partial denitrification.Overall,this study provides a novel strategy to enrich anammox biomass driven by rapid achievement of partial denitrification through the addition of bio-carriers,which will improve large-scale application of anammox processes in mainstream wastewater treatment.展开更多
Zearalenone(ZEA)is widely derived from moldy cereal grain,which has adverse effects on animal reproduction.In particular,pigs are more sensitive to ZEA-induced toxicity than other animals.Isorhamnetin has extensive ph...Zearalenone(ZEA)is widely derived from moldy cereal grain,which has adverse effects on animal reproduction.In particular,pigs are more sensitive to ZEA-induced toxicity than other animals.Isorhamnetin has extensive pharmacological activity.However,the role of isorhamnetin in ZEA-induced cytotoxicity remains unclear.This study was designed to investigate the therapeutic effect of isorhamnetin on ZEA-induced damage in porcine ovarian granulosa cells and elucidate its molecular mechanism.Two experiments were conducted,where a minimum of 3 biological replicates were used for each treatment.In Exp.1,ovarian granulosa cells were treated with different concentrations of isorhamnetin(1,5,10,20 and 30μmol/L)and ZEA(0,10,30,60,90 and 120μmol/L)for 24 h.Our results indicated that 60μmol/L ZEA(half-maximal inhibitory concentration value)and 20μmol/L isorhamnetin(the most effective concentration against ZEA-induced cytotoxicity)were optimum concentrations.In Exp.2,ovarian granulosa cells were treated with isorhamnetin(20μmol/L)for 2 h,before treatment with ZEA(60μmol/L)for 24 h.Apoptosis,endoplasmic reticulum stress,oxidative stress,proliferation and hormone secretion of ovarian granulosa cells were detected.Our findings showed that isorhamnetin suppressed(P<0.05)ZEA-induced apoptosis by altering mitochondrial membrane potential and apoptosis-related proteins(B-cell lymphoma-2[Bcl-2],Bcl2-associated x[Bax]and cleaved caspase-3[C-Casp3]).Changes in intracellular Ca2+levels and C/EBP homologous protein(CHOP),recombinant activating transcription factor 6(ATF6),glucose regulated protein78 k D(GRP78)indicated that isorhamnetin rescued(P<0.05)ZEA-induced endoplasmic reticulum stress.Furthermore,isorhamnetin prevented(P<0.05)ZEA-induced oxidative stress via the mitogen-activated protein kinase(P38)signaling pathway.Mechanistically,isorhamnetin stimulated(P<0.05)the expression of proliferating cell nuclear antigen(PCNA)and cyclin D,thereby increasing the ratio of S phase cells in response to ZEAinduced apoptosis via phosphatidylinositol 3 kinase/protein kinase B(PI3K/Akt)signaling pathway.Isorhamnetin also recovered(P<0.05)ZEA-induced steroidogenesis disorder by regulating steroidogenic enzyme gene and proteins(follicle-stimulating hormone receptor[FSHR]and cytochrome P450 family 19subfamily a member 1[CYP19A1]).Collectively,these findings show that isorhamnetin protects ovarian granulosa cells from ZEA-induced damage,which promotes proliferation,alleviates apoptosis,endoplasmic reticulum stress,oxidative stress,and steroidogenesis disorder.展开更多
In this study,we performed emergency stent angioplasty in a patient with basilar artery occlusion(BAO)at 21 hours after onset.Serial diffusion tensor tract imaging revealed that the ischaemic corticospinal tracts(CSTs...In this study,we performed emergency stent angioplasty in a patient with basilar artery occlusion(BAO)at 21 hours after onset.Serial diffusion tensor tract imaging revealed that the ischaemic corticospinal tracts(CSTs),which passed through pontine infarct,rapidly recovered to normal level even after delayed reperfusion.This case provided in vivo evidences that ischaemic white matter was still salvageable even after prolonged ischaemia.It also provided a new method(diffusion tensor tract imaging)and a novel therapeutic target(white matter)in the evaluation and treatment of acute BAO.展开更多
The isothermal local loading forming technology provides a feasible way to form Ti-alloy large-scale rib-web components in aerospace and aviation fields.However,the local loading process forming limit is restricted by...The isothermal local loading forming technology provides a feasible way to form Ti-alloy large-scale rib-web components in aerospace and aviation fields.However,the local loading process forming limit is restricted by forming defects in the transitional region.In this work,the feasibility of controlling forming defects and improving the process forming limit by adjusting die parameters is explored through finite element(FE) simulation.It is found that the common cavum and folding defects in the transitional region are significantly influenced by the fillet radii of left rib and middle rib,respectively.The cavum and folding defects can be effectively controlled by increasing the fillet radii of left rib and middle rib,respectively.The process forming limits considering forming defects in the transitional region are determined by the stepwise searching method under various die parameters.Moreover,the relationship between the process forming limit and die parameters is developed through the response surface methodology(RSM).The developed RSM models suggest that increasing the fillet radii of left and middle ribs is effective to improve the process forming limit during local loading forming of rib-web components.The results will provide technical basis for the design of die parameters and the reduction amount,which is of great importance to control forming defects and improve the process forming limit in local loading forming of Ti-alloy large-scale rib-web components.展开更多
基金supported by the National Natural Science Foundation of China(62173215)Major Basic Research Program of the Natural Science Foundation Shandong Province in China(ZR2021ZD04,ZR2020ZD24)the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions(2019KJI008).
文摘Dear Editor,This letter studies the input-to-state stability(ISS)for a class of impulsive switched systems,where uncertain impulse-switching moments are involved.The robustness of ISS with respect to the perturbations of the occurrence time of impulse-switching moments is revealed by several less conservative dwell-time conditions for the uncertain impulse-switching moments combined with Lyapunov conditions.Moreover,the Lyapunov conditions have multiple coefficients at discrete time so as to handle the hybrid effect of impulse-switching moments,and the case that time derivative of Lyapunov function is indefinite is also taken into account.Finally,a numerical example is proposed to illustrate the effectiveness of the theoretical results.
基金the National Natural Science Foundation of China(61833005)。
文摘Dear Editor,This letter studies finite-time input-to-state stability(FTISS)for impulsive switched systems.A set of Lyapunov-based conditions are established for guaranteeing FTISS property.When constituent modes governing continuous dynamics are FTISS and discrete dynamics involving impulses are destabilizing,the FTISS can be retained if impulsive-switching signals satisfy an average dwell-time(ADT)condition.
基金This work was supported in part by the National Natural Science Foundation of China(62203284,62173215)the Natural Science Foundation of Shandong Province(ZR2021QF048)the Major Basic Research Program of the Natural Science Foundation of Shandong Province in China(ZR2021ZD04,ZR2020ZD24).
文摘Dear Editor,This letter establishes several criteria for fixed-time stability and predefined-time stability of impulsive systems.First,sufficient conditions for fixed-time stability of impulsive systems are presented to treat the destabilizing impulses and hybrid impulses involving multiple jump maps by fixed-time control without linear feedback regulation.It determines the robustness of nonlinear systems against impulsive disturbance which has destabilizing and hybrid effect to dynamics.
基金supported by National Natural Science Foundation of China (62173215)Major Basic Research Program of the Natural Science Foundation of Shandong Province in China(ZR2021ZD04, ZR2020ZD24)the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions (2019KJI008)。
文摘This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is shown that the system can be stabilized by a class of saturated delayed-impulses regardless of the length of input delays. Conversely, when the system is originally stable, it is shown that under some conditions, the system is robust with respect to sufficient small delayed-impulses. Moreover, the design problem of the controller with the goal of obtaining a maximized estimate of the domain of attraction is formulated via a convex optimization problem. Three examples are provided to demonstrate the validity of the main results.
基金partially supported by the National Natural Science Foundation of China(62003097,62121004,62033003,62073019)the Local Innovative and Research Teams Project of Guangdong Special Support Program(2019BT02X353)+2 种基金the Key Area Research and Development Program of Guangdong Province(2021B0101410005)the Joint Funds of Guangdong Basic and Applied Basic Research Foundation(2019A1515110505)。
文摘The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability,the finite-time stability possesses the better control performance and disturbance rejection property. Different from the finite-time stability, the fixed-time stability has a faster convergence speed and the upper bound of the settling time can be estimated. Moreover, the convergent time does not rely on the initial information.This work aims at presenting an overview of the finite/fixed-time stabilization and tracking control and its applications in engineering systems. Firstly, several fundamental definitions on the finite/fixed-time stability are recalled. Then, the research results on the finite/fixed-time stabilization and tracking control are reviewed in detail and categorized via diverse input signal structures and engineering applications. Finally, some challenging problems needed to be solved are presented.
基金This work was supported by the National Natural Science Foundation of China(62173215)Major Basic Research Program of the Natural Science Foundation of Shandong Province in China(ZR2021ZD04,ZR2020ZD24)the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions(2019KJI008).
文摘This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information of plant’s states,time delays,and exogenous disturbances is often hard to be obtained,the key design challenge,which we resolve,is the construction of a state observer-based controller.For this purpose,we firstly propose a corresponding observer which is independent of time delays and exogenous disturbances to reconstruct(or estimate)the plant’s states.And then based on the observations,we establish an observer-based control design for the plant to achieve the input-to-state stability(ISS)and integral-ISS(iISS)properties.With the help of the comparison principle and average impulse interval approach,some sufficient conditions are presented,and moreover,two different linear matrix inequalities(LMIs)based criteria are proposed to design the gain matrices.Finally,two numerical examples and their simulations are given to show the effectiveness of our theoretical results.
基金sponsored by the Natural Science Youth Project of University Scientific Research Plan in Xinjiang(XJEDU2021Y053)the Talent introduction research project of China University of Petroleum-Beijing at Karamay(XQSQ20200056)the Strategic Cooperation Tech-nology Projects of CNPC and CUPB(Grant No.ZLZX2020-01).
文摘Natural fractures are widely distributed in shale reservoirs.During the hydraulic fracturing process,frictional slip occurring on natural fractures can increase the reservoir permeability and is of great significance to improve the efficiency of reservoir stimulation.Shale contains a large amount of clay and organic matter,and its frictional behavior is different from that of other previously studied lithologies.In this paper,the frictional behavior of shale is analyzed,and the results show that the frictional behavior is controlled by the content of clay and organic matter.As the content of clay and organic matter increases,the micro support type transforms from the particle support mode by hard quartz mineral to matrix support mode by plastic clay and organic matter.Accordingly,the shear strength and friction coefficient of shale both decrease,and the shear type transforms from brittle to plastic.When the content of clay and organic matter is low,the asperity of friction surfaces will break in a brittle manner and the wear degree of surfaces is low.Therefore,fractures are still featured by moderate apertures after friction.The lower the content of clay and organic matter is,the easier the asperity of crack surfaces supports themselves,and the higher the fracture residual permeability is.Thus,promoting shear slip is the main measure of reservoir stimulation.However,when the content of clay and organic matter is high,the remaining post-slip fracture aperture is small.It is difficult to increase reservoir permeability through the frictional slip of natural fractures,and in this situation,the proppant support efficiency needs to be improved.
基金supported by the National Natural Science Foundation of China (No.22176007),the Beijing Natural Science Foundation (No.8212022)the fund of innovation and entrepreneurship leading team project in Guangzhou (No.CYLJTD-201607)the National Key Research and Development Program of China (No.2021YFC3200605)。
文摘Anammox is widely considered as the most cost-effective and sustainable process for nitrogen removal.However,how to achieve the enrichment of anammox biomass remains a challenge for its large-scale application,especially in mainstream wastewater treatment.In this study,the feasibility of enrichment of anammox biomass was explored through the realization of partial denitrification and the addition of bio-carriers.By using ordinary activated sludge,a sequencing batch reactor(SBR)followed by an up-fow anaerobic sludge bed(UASB)was operated at 25±2℃ for 214 days.The long-term operation was divided into five phases,in which SBR and UASB were started-up in Phases I and II,respectively.By eliminating oxygen and adjusting the infow ratios in Phases III-V,advanced nitrogen removal was achieved with the effuent total nitrogen being 4.7 mg/L and the nitrogen removal efficiency being 90.5%in Phase V.Both in-situ and ex-situ activity tests demonstrated the occurrence of partial denitrification and anammox.Moreover,16S rRNA high-throughput sequencing analysis revealed that Candidatus Brocadia was enriched from below the detection limit to in biofilms(0.4%in SBR,2.2%in UASB)and the foc sludge(0.2%in SBR,1.3%in UASB),while Thauera was mainly detected in the foc sludge(8.1%in SBR,8.8%in UASB),which might play a key role in partial denitrification.Overall,this study provides a novel strategy to enrich anammox biomass driven by rapid achievement of partial denitrification through the addition of bio-carriers,which will improve large-scale application of anammox processes in mainstream wastewater treatment.
基金financially supported by Ministry of Agriculture Transgenic Major Projects(2018ZX0801013B)Key Industry Innovation Chain of Shaanxi Province(2018ZDCXL-NY-02-06)。
文摘Zearalenone(ZEA)is widely derived from moldy cereal grain,which has adverse effects on animal reproduction.In particular,pigs are more sensitive to ZEA-induced toxicity than other animals.Isorhamnetin has extensive pharmacological activity.However,the role of isorhamnetin in ZEA-induced cytotoxicity remains unclear.This study was designed to investigate the therapeutic effect of isorhamnetin on ZEA-induced damage in porcine ovarian granulosa cells and elucidate its molecular mechanism.Two experiments were conducted,where a minimum of 3 biological replicates were used for each treatment.In Exp.1,ovarian granulosa cells were treated with different concentrations of isorhamnetin(1,5,10,20 and 30μmol/L)and ZEA(0,10,30,60,90 and 120μmol/L)for 24 h.Our results indicated that 60μmol/L ZEA(half-maximal inhibitory concentration value)and 20μmol/L isorhamnetin(the most effective concentration against ZEA-induced cytotoxicity)were optimum concentrations.In Exp.2,ovarian granulosa cells were treated with isorhamnetin(20μmol/L)for 2 h,before treatment with ZEA(60μmol/L)for 24 h.Apoptosis,endoplasmic reticulum stress,oxidative stress,proliferation and hormone secretion of ovarian granulosa cells were detected.Our findings showed that isorhamnetin suppressed(P<0.05)ZEA-induced apoptosis by altering mitochondrial membrane potential and apoptosis-related proteins(B-cell lymphoma-2[Bcl-2],Bcl2-associated x[Bax]and cleaved caspase-3[C-Casp3]).Changes in intracellular Ca2+levels and C/EBP homologous protein(CHOP),recombinant activating transcription factor 6(ATF6),glucose regulated protein78 k D(GRP78)indicated that isorhamnetin rescued(P<0.05)ZEA-induced endoplasmic reticulum stress.Furthermore,isorhamnetin prevented(P<0.05)ZEA-induced oxidative stress via the mitogen-activated protein kinase(P38)signaling pathway.Mechanistically,isorhamnetin stimulated(P<0.05)the expression of proliferating cell nuclear antigen(PCNA)and cyclin D,thereby increasing the ratio of S phase cells in response to ZEAinduced apoptosis via phosphatidylinositol 3 kinase/protein kinase B(PI3K/Akt)signaling pathway.Isorhamnetin also recovered(P<0.05)ZEA-induced steroidogenesis disorder by regulating steroidogenic enzyme gene and proteins(follicle-stimulating hormone receptor[FSHR]and cytochrome P450 family 19subfamily a member 1[CYP19A1]).Collectively,these findings show that isorhamnetin protects ovarian granulosa cells from ZEA-induced damage,which promotes proliferation,alleviates apoptosis,endoplasmic reticulum stress,oxidative stress,and steroidogenesis disorder.
文摘In this study,we performed emergency stent angioplasty in a patient with basilar artery occlusion(BAO)at 21 hours after onset.Serial diffusion tensor tract imaging revealed that the ischaemic corticospinal tracts(CSTs),which passed through pontine infarct,rapidly recovered to normal level even after delayed reperfusion.This case provided in vivo evidences that ischaemic white matter was still salvageable even after prolonged ischaemia.It also provided a new method(diffusion tensor tract imaging)and a novel therapeutic target(white matter)in the evaluation and treatment of acute BAO.
基金the support of the National Natural Science Foundation of China(Nos.51605388,51675433)111 Project(B08040)+2 种基金the Research Fund of the State Key Laboratory of Solidification Processing(NWPU)in China(Grant No.131-QP-2015)the Fundamental Research Funds for the Central Universitiesthe Open Research Fund of State Key Laboratory of Materials Processing and Die&Mold Technology at Huazhong University of Science and Technology
文摘The isothermal local loading forming technology provides a feasible way to form Ti-alloy large-scale rib-web components in aerospace and aviation fields.However,the local loading process forming limit is restricted by forming defects in the transitional region.In this work,the feasibility of controlling forming defects and improving the process forming limit by adjusting die parameters is explored through finite element(FE) simulation.It is found that the common cavum and folding defects in the transitional region are significantly influenced by the fillet radii of left rib and middle rib,respectively.The cavum and folding defects can be effectively controlled by increasing the fillet radii of left rib and middle rib,respectively.The process forming limits considering forming defects in the transitional region are determined by the stepwise searching method under various die parameters.Moreover,the relationship between the process forming limit and die parameters is developed through the response surface methodology(RSM).The developed RSM models suggest that increasing the fillet radii of left and middle ribs is effective to improve the process forming limit during local loading forming of rib-web components.The results will provide technical basis for the design of die parameters and the reduction amount,which is of great importance to control forming defects and improve the process forming limit in local loading forming of Ti-alloy large-scale rib-web components.
基金supported by the National Natural Science Foundation of China(61874007,12074028,and 52102152)Shandong Provincial Major Scientific and Technological Innovation Project(2019JZZY010209)+2 种基金the Key-area Research and Development Program of Guangdong Province(2020B010172001)the Fundamental Research Funds for the Central Universities(buctrc201802,buctrc201830,and buctrc202127)Beijing Outstanding Young Scientist Program(BJJWZYJH01201910010024)。