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Finite-Time Stability of Impulsive and Switched Hybrid Systems With Delay-Dependent Impulses
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作者 Taixiang Zhang Jinde Cao +1 位作者 Mahmoud Abdel-Aty Ardak Kashkynbayev 《IEEE/CAA Journal of Automatica Sinica》 2025年第2期466-468,共3页
Dear Editor,This letter studies finite-time stability (FTS) of impulsive and switched hybrid systems with delay-dependent impulses. Some conditions, based on Lyapunov method, are proposed for ensuring FTS and estimati... Dear Editor,This letter studies finite-time stability (FTS) of impulsive and switched hybrid systems with delay-dependent impulses. Some conditions, based on Lyapunov method, are proposed for ensuring FTS and estimating settling-time function (STF) of the hybrid systems.When switching dynamics are FTS and impulsive dynamics involve destabilizing delay-dependent impulses, the FTS is retained if the impulses occur infrequently. 展开更多
关键词 finite time stability delay dependent impulses hybrid systemswhen switching dynamics impulsive dynamics impulsive switched hybrid systems switched systems lyapunov method
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Optimal Impulse Control and Impulse Game for Continuous-Time Deterministic Systems:A Review
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作者 Chuandong LI Wenxuan WANG 《Artificial Intelligence Science and Engineering》 2025年第3期208-219,共12页
Optimal impulse control and impulse games provide the cutting-edge frameworks for modeling systems where control actions occur at discrete time points,and optimizing objectives under discontinuous interventions.This r... Optimal impulse control and impulse games provide the cutting-edge frameworks for modeling systems where control actions occur at discrete time points,and optimizing objectives under discontinuous interventions.This review synthesizes the theoretical advancements,computational approaches,emerging challenges,and possible research directions in the field.Firstly,we briefly review the fundamental theory of continuous-time optimal control,including Pontryagin's maximum principle(PMP)and dynamic programming principle(DPP).Secondly,we present the foundational results in optimal impulse control,including necessary conditions and sufficient conditions.Thirdly,we systematize impulse game methodologies,from Nash equilibrium existence theory to the connection between Nash equilibrium and systems stability.Fourthly,we summarize the numerical algorithms including the intelligent computation approaches.Finally,we examine the new trends and challenges in theory and applications as well as computational considerations. 展开更多
关键词 optimal impulse control impulse game Pontryagin's maximum principle dynamic programming principle
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Approximate Controllability of Neutral Partial Differential System with Hilfer Fractional Derivative and not Instantaneous Impulses Effects
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作者 Bo ZHU Baoyan HAN 《Journal of Mathematical Research with Applications》 2025年第5期637-648,共12页
In this article,we study the approximate controllability of neutral partial differential equations with Hilfer fractional derivative and not instantaneous impulses effects.By using the Sadovskii's fixed point theo... In this article,we study the approximate controllability of neutral partial differential equations with Hilfer fractional derivative and not instantaneous impulses effects.By using the Sadovskii's fixed point theorem,fractional calculus and resolvent operator functions,we prove the approximate controllability of the considered system. 展开更多
关键词 approximate controllability Hilfer fractional derivative not instantaneous impulses resolvent operator functions
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Adaptive dynamic programming for linear impulse systems
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作者 Xiao-hua WANG Juan-juan YU +2 位作者 Yao HUANG Hua WANG Zhong-hua MIAO 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2014年第1期43-50,共8页
We investigate the optimization of linear impulse systems with the reinforcement learning based adaptive dynamic programming(ADP)method.For linear impulse systems,the optimal objective function is shown to be a quadri... We investigate the optimization of linear impulse systems with the reinforcement learning based adaptive dynamic programming(ADP)method.For linear impulse systems,the optimal objective function is shown to be a quadric form of the pre-impulse states.The ADP method provides solutions that iteratively converge to the optimal objective function.If an initial guess of the pre-impulse objective function is selected as a quadratic form of the pre-impulse states,the objective function iteratively converges to the optimal one through ADP.Though direct use of the quadratic objective function of the states within the ADP method is theoretically possible,the numerical singularity problem may occur due to the matrix inversion therein when the system dimensionality increases.A neural network based ADP method can circumvent this problem.A neural network with polynomial activation functions is selected to approximate the pre-impulse objective function and trained iteratively using the ADP method to achieve optimal control.After a successful training,optimal impulse control can be derived.Simulations are presented for illustrative purposes. 展开更多
关键词 Adaptive dynamic programming(ADP) impulse system Optimal control Neural network
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Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain
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作者 Branislav Dobrucký Pavol Štefanec +2 位作者 Mariana Beňová Oleg V. Chernoyarov Michal Pokorný 《Circuits and Systems》 2016年第11期3951-3970,共20页
This paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Impulse switching functions are later investigated using direct and inverse z-transform... This paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Impulse switching functions are later investigated using direct and inverse z-transformation. The results make possible to present those functions as infinite series expressed in pure numerical, exponential or trigonometric forms. The main advantage of used approach is the possibility to calculate investigated variables directly in any instant of time;dynamic state can be solved with the step of sequences (T/6, T/12) that means very fast. Theoretically derived waveforms are compared with simulation worked-out results as well as results of circuit emulator LT spice which are given in the paper. 展开更多
关键词 impulse systems Switching Function Z-Transformation Inverse Z-Transformation Steady State Operation Dynamical State Model Modelling and Simulation
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Synthesis and properties of Cr-Al-Si-N films deposited by hybrid coating system with high power impulse magnetron sputtering (HIPIMS) and DC pulse sputtering 被引量:12
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作者 Min Su KANG Tie-gang WANG +2 位作者 Jung Ho SHIN Roman NOWAK Kwang Ho KIM 《中国有色金属学会会刊:英文版》 CSCD 2012年第S3期729-734,共6页
The CrN and Cr-Al-Si-N films were deposited on Si wafer and SUS 304 substrates by a hybrid coating system with high power impulse magnetron sputtering (HIPIMS) and a DC pulse sputtering using Cr and AlSi targets under... The CrN and Cr-Al-Si-N films were deposited on Si wafer and SUS 304 substrates by a hybrid coating system with high power impulse magnetron sputtering (HIPIMS) and a DC pulse sputtering using Cr and AlSi targets under N2/Ar atmosphere.By varying the sputtering current of the AlSi target in the range of 0-2.5 A,both the Al and Si contents in the films increased gradually from 0 to 19.1% and 11.1% (mole fraction),respectively.The influences of the AlSi cathode DC pulse current on the microstructure,phase constituents,mechanical properties,and oxidation behaviors of the Cr-Al-Si-N films were investigated systematically.The results indicate that the as-deposited Cr-Al-Si-N films possess the typical nanocomposite structure,namely the face centered cubic (Cr,Al)N nano-crystallites are embedded in the amorphous Si3N4 matrix.With increasing the Al and Si contents,the hardness of the film first increases from 20.8 GPa for the CrN film to the peak value of 29.4 GPa for the Cr0.23Al0.14Si0.07 N film,and then decreases gradually.In the meanwhile,the Cr0.23Al0.14Si0.07N film also possesses excellent high-temperature oxidation resistance that is much better than that of the CrN film at 900 or 1000 °C. 展开更多
关键词 Cr-Al-Si-N film high power impulse MAGNETRON SPUTTERING DC pulsed SPUTTERING high-temperature oxidation resistance
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ON BOUNDEDNESS OF SOLUTIONS OFIMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMSWITH FIXED MOMENTS OF IMPULSE EFFECTS 被引量:12
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作者 傅希林 张立琴 《Acta Mathematica Scientia》 SCIE CSCD 1997年第2期219-229,共11页
Several boundedness criteria for the impulsive integro-differential systems with fixed moments of impulse effects are established, employing the method of Lyapunov functions and Razumikhin technique.
关键词 BOUNDEDNESS impulsive integro-differential systems Lyapunov functions
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Permanence and periodic solutions of delayed predator-prey system with impulse 被引量:1
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作者 SHI Hong-bo 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第3期264-276,共13页
The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. T... The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria. 展开更多
关键词 Predator-prey system impulse periodic solution PERMANENCE coincidence degree.
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A Sandwich Control System with Dual Stochastic Impulses 被引量:1
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作者 Chuanlin Liao Dan Tu +3 位作者 Yuming Feng Wei Zhang Zitao Wang B.O.Onasanya 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第4期741-744,共4页
Dear editor,Along with the progress of science and technology and the development of social civilization,control system brings an increasingly significant function in daily life.The application field of control system... Dear editor,Along with the progress of science and technology and the development of social civilization,control system brings an increasingly significant function in daily life.The application field of control system is very wide,for instance,in mobile technology[1],artificial earth satellite[2],pest control[3],etc.Ribeiro[4]first put forward the concept of random pulse in 1967.At present,impulsive control is used in networked control[5],secure communication[6],etc.In the 21st century,the impulsive control has been used in synchronization of coupled system,intelligent fault identification,image encryption. 展开更多
关键词 system IMPULSIVE instance
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Parametric effect of large impulse current excited coil on electromagnetic force in coil-sheet system
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作者 许威 方洪渊 +2 位作者 曹军 丁文斌 单平 《中国有色金属学会会刊:英文版》 CSCD 2009年第S3期806-810,共5页
Based on the method of controlling welding stress with trailing, the electromagnetic force in coil-sheet system was simulated with finite element software ANSYS. The effect of parameters of coil on the electromagnetic... Based on the method of controlling welding stress with trailing, the electromagnetic force in coil-sheet system was simulated with finite element software ANSYS. The effect of parameters of coil on the electromagnetic force density fy was analyzed. The results show that the maximum electromagnetic force density fy, max in sheet appears in the position near the inner radius of single-turn coil. The position is independent of section shape of coil. fy, max for flat coil is larger than that for long coil and the coil with wedge shape section, while section areas of all coils are equal to each other. The effect of turn number of multiple-turn coil on fy is dependent on the loop resistance in circuit. The kind of coil with more turns and larger inductance is commended while there is larger loop resistance in circuit. fy increases in a certain magnitude while a magnetic core is located in coil. However, the magnitude of fy is limited by saturating magnetic flux of the core. 展开更多
关键词 ELECTROMAGNETIC FORCE parameters of COIL impulse current SHEET
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ADJOINT SYSTEM INTEGRALS FOR OPTIMAL SPACE N-IMPULSE TRANSFER
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作者 吴玉良 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第4期433-436,共4页
The adjoint system integrals for time free, optimal N-impulse transfer during a firing period in 5-phase selected are derived.
关键词 adjoint system impulse transfer regular transform
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Stability and output feedback stabilization for systems with Markovian switching and impulse effects
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作者 Shen CONG Yun ZOU Yijun ZHANG 《控制理论与应用(英文版)》 EI 2010年第4期453-456,共4页
We investigate the exponential stability in the mean square sense for the systems with Markovian switching and impulse effects.Based on the statistic property of the Markov process,a stability criterion is established... We investigate the exponential stability in the mean square sense for the systems with Markovian switching and impulse effects.Based on the statistic property of the Markov process,a stability criterion is established.Then,by the parameterizations via a family of auxiliary matrices,the dynamical output feedback controller can be solved via an LMI approach,which makes the closed-loop system exponentially stable.A numerical example is given to demonstrate the method. 展开更多
关键词 Markov process impulse Stability in the mean square sense Output feedback controller
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An Impulse Weakly Observability of Generalized Linear Systems
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作者 Qiu Weigen & Liu Yongqing(Department of Automatic Control Engineering, South China University of Technology,Guangzhou 510641, P. R. China ) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1998年第3期16-22,共7页
This paper mainly discusses the singular linear systems of distributional version. By using its matrices coefficients and some invariant subspaces, the distributionally weakly obseervability and the impulse observabil... This paper mainly discusses the singular linear systems of distributional version. By using its matrices coefficients and some invariant subspaces, the distributionally weakly obseervability and the impulse observability are analyzed. 展开更多
关键词 impulse Distributionally weakly unobservability Invariaot subspace
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Partial extinction, permanence and global attractivity innonautonomous n-species Lotka-Volterra competitivesystems with impulses
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作者 HOU Juan TENG Zhi-dong GAO Shu-jing 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第2期161-176,共16页
In this paper, the qualitative properties of general nonautonomous Lotka-Volterran-species competitive systems with impulsive e?ects are studied. Some new criteria on thepermanence, extinction and global attractivity... In this paper, the qualitative properties of general nonautonomous Lotka-Volterran-species competitive systems with impulsive e?ects are studied. Some new criteria on thepermanence, extinction and global attractivity of partial species are established by used themethods of inequalities estimate and Liapunov functions. As applications, nonautonomous twospecies Lotka-Volterra systems with impulses are discussed. 展开更多
关键词 Nonautonom ous Lotka-Volterra system Impulsive efects Competition EXTINCTION PERMANENCE Global attractivity.
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Impulse Controller Design of a Harmonic Drive System with Friction
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作者 李刚俊 《Journal of Southwest Jiaotong University(English Edition)》 2010年第3期238-243,共6页
A friction model was established for impulse control design in a precision control system. First, the physical characteristics of the impulse in momentum, such as motion and energy, were analyzed and formulated. Then,... A friction model was established for impulse control design in a precision control system. First, the physical characteristics of the impulse in momentum, such as motion and energy, were analyzed and formulated. Then, experimental response to a new pulse with two harmonic expansions was studied. The first harmonic is the main pulse to drive the arm, and the second harmonic has two functions: its first half helps the main pulse eliminate the dead zone, and its second half, a negative pulse, stops the arm motion quickly. Finally, an impulse feedback controller was developed. Comparison between simulation and experiments shows the effectiveness of the proposed controller. 展开更多
关键词 impulse control Harmonic drives Friction model Precision systems
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Association of Superior Vena Cava Syndrome with Sleep Apnea: Investigation Using an Impulse Oscillometry System
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作者 Masanori Yokoba Naohito Ishii +5 位作者 Tsuyoshi Ichikawa Mayuko Wada Hisashi Mitsufuji Masaru Kubota Noriyuki Masuda Masato Katagiri 《International Journal of Clinical Medicine》 2012年第4期270-275,共6页
Superior vena cava syndrome (SVCS) patients sometimes show signs of obstructive sleep apnea (OSA). However, the mechanism causing hypoxia during sleep in SVCS patients is still uncertain. The aim of this study was to ... Superior vena cava syndrome (SVCS) patients sometimes show signs of obstructive sleep apnea (OSA). However, the mechanism causing hypoxia during sleep in SVCS patients is still uncertain. The aim of this study was to elucidate 1) the changes in central and peripheral respiratory resistance with SVCS, and 2) interpret the mechanism underlying the development of hypoxia during sleep in patients with SVCS related to OSA. Ten SVCS patients related to a neoplasm were recruited for this study. The degree of apnea hypopnea index (AHI) for OSA was evaluated by portable diagnosing device before and after SVCS treatment. We also analyzed the airway resistance and reactance quantitatively in the supine position by Master Screen impulse oscillometry system (MS-IOS?). After SVCS treatment, mean values of AHI were significantly decreased from 30.9 to 16.9 (/hour) (p = 0.001). Central respiratory resistance (R20) also decreased significantly from 0.40 to 0.33 kPa/L/s (p = 0.025) in the supine position. In contrast, peripheral respiratory resistance (R5-R20) and distal capacitive reactance (X5) did not change significantly. It is thought that the exacerbation of OSA due to SVCS is caused by increasing upper airway resistance related to reversible edema of the upper airway mucous or tissue. In contrast, SVCS may not cause peripheral respiratory tract and lung parenchyma edema. 展开更多
关键词 Upper AIRWAY RESISTANCE Central RESPIRATORY RESISTANCE Peripheral RESPIRATORY RESISTANCE impulse OSCILLOMETRY system Ios Pulmonary NEOPLASM
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On Impulse Switching Functions of Inverters as an Orthogonal System
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作者 B. Dobrucky M. Pokomy M. Benova 《Journal of Mathematics and System Science》 2014年第12期743-749,共7页
The paper deals with impulse switching function which are used as exciting functions of one- and multidimensional state-space models of power electronic converters. Obviously, these functions are harmonic but using po... The paper deals with impulse switching function which are used as exciting functions of one- and multidimensional state-space models of power electronic converters. Obviously, these functions are harmonic but using power converters they can be strongly non-harmonic, sometimes piecewise constants with zero spaces between them. Then, one deals with power series of time pulses. The impulse switching functions which are orthogonal ones can be derived from these series. The new impulse switching functions are created using Z-transform, inverse Z-transform and numerical series/sequences. The impulse switching functions created this way can be used for both steady- and transient state investigation of converters. 展开更多
关键词 Power converter impulse switching function Z-TRANSFORM inverse Z-transform modelling and simulation steady stateoperation
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Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses
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作者 Yafei Yang Yuanfu Shao Mengwei Li 《Advances in Linear Algebra & Matrix Theory》 2019年第4期89-103,共15页
In this paper, astochastic predator-prey systems with nonlinear harvesting and impulsive effect are investigated. Firstly, we show the existence and uniqueness of the global positive solution of the system. Secondly, ... In this paper, astochastic predator-prey systems with nonlinear harvesting and impulsive effect are investigated. Firstly, we show the existence and uniqueness of the global positive solution of the system. Secondly, by constructing appropriate Lyapunov function and using comparison theorem with an impulsive differential equation, we study that a positive periodic solution exists. Thirdly, we prove that system is globally attractive. Finally, numerical simulations are presented to show the feasibility of the obtained results. 展开更多
关键词 impulseS Perturbations Periodic Solution Non-Linear HARVESTING STOCHASTIC PREDATOR-PREY systems Globally ATTRACTIVE
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A Verification Theorem for Feedback Nash Equilibrium in Multiple-Player Nonzero-Sum Impulse Game 被引量:1
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作者 Ruihai Li Yaoyao Tan +1 位作者 Xiaojie Su Jiangshuai Huang 《IEEE/CAA Journal of Automatica Sinica》 2025年第3期648-650,共3页
Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate... Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion,and subsequently,to derive a verification theorem for identifying the feedback Nash equilibrium strategy. 展开更多
关键词 impulse game feedback Nash equilibrium multiple player feedback nash equilibrium strategy impulse game problem nonzero sum modified objective function impulse controlsour
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Surface-covering water significantly amplifies the explosion impulse of shallow buried explosives 被引量:1
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作者 Zhenyu Zhao Wenbo Gao +6 位作者 Jianwei Ren Zihan Lan Zhiyang Zhang Huiyao Gao Chao He Changye Ni Tianjian Lu 《Defence Technology(防务技术)》 2025年第6期156-172,共17页
While the moisture content of soil affects significantly the blast impulse of shallow buried explosives,the role of surface-covering water(SCW)on soil in such blast impulse remains elusive.A combined experimental and ... While the moisture content of soil affects significantly the blast impulse of shallow buried explosives,the role of surface-covering water(SCW)on soil in such blast impulse remains elusive.A combined experimental and numerical study has been carried out to characterize the effect of SCW on transferred impulse and loading magnitude of shallow buried explosives.Firstly,blast tests of shallow buried explosives were conducted,with and without the SCW,to quantitatively assess the blast loading impulse.Subsequently,finite element(FE)simulations were performed and validated against experimental measurement,with good agreement achieved.The validated FE model was then employed to predict the dynamic response of a fully-clamped metallic circular target,subjected to the explosive impact of shallow buried explosives with SCW,and explore the corresponding physical mechanisms.It was demonstrated that shallow buried explosives in saturated soil generate a greater impulse transferred towards the target relative to those in dry soil.The deformation displacement of the target plate is doubled.Increasing the height of SCW results in enhanced center peak deflection of the loaded target,accompanied by subsequent fall,due to the variation of deformation pattern of the loaded target from concentrated load to uniform load.Meanwhile,the presence of SCW increases the blast impulse transferred towards the target by three times.In addition,there exists a threshold value of the burial depth that maximizes the impact impulse.This threshold exhibits a strong sensitivity to SCW height,decreasing with increasing SCW height.An empirical formula for predicting threshold has been provided.Similar conclusions can be drawn for different explosive masses.The results provide technical guidance on blast loading intensity and its spatial distribution considering shallow buried explosives in coast-land battlefields,which can ultimately contribute to better protective designs. 展开更多
关键词 Shallow buried explosives Fluid-structure interaction Surface-covering water impulse distribution
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