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Multiplicity of solutions for a class of non-local elliptic operators systems
Chuanzhi Bai 대한수학회 2017 대한수학회보 Vol.54 No.3
In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.
Chuanzhi Sun,Mei-Ling Zhuang,Bo Dong 한국콘크리트학회 2022 International Journal of Concrete Structures and M Vol.16 No.6
HTRB630 steel bar is a new type of high-strength steel bars. To study the seismic performance and promote the application of concrete columns reinforced with HTRB630 high-strength steel bars, the pseudo-static test of 10 concrete columns reinforced with HTRB630 high-strength steel bars and 3 concrete columns reinforced with HRB400 was carried out. Test specimens were divided into five categories according to concrete grade, reinforcement strength, and degree of confinement. The effect of concrete strength (C45 and C60), axial load ratio (0.1 and 0.25), equal strength substitution of longitudinal reinforcements (HTRB630 and HRB400), equal strength and volume substitution of stirrups (HTRB630 and HRB400), equal strength substitution of confined reinforcements (HTRB630 and HRB400) on the seismic performance are analyzed and discussed from the failure mode, hysteresis loops, skeleton curves, lateral strength, ductility, energy dissipation capacity, stiffness and strength degradation. The failure mode of each specimen was bending failure. Reducing of the axial lo ratio or increasing the strength of reinforcements, the seismic performance of the specimen could be improved. C60 concrete can improve the seismic performance of HTRB630 reinforced columns. The lateral strength of the concrete column specimen with HTRB630 reinforcements was slightly increased, and the ductility and energy dissipation capacity were reduced, the stiffness degradation was more gradual, the strength degradation coefficient was greater than 0.94, but still met the requirements of the code for seismic design of buildings (GB50011-2010).
Chuanzhi Bai 대한수학회 2011 대한수학회보 Vol.48 No.4
By using the Lyapunov functional method,stochastic analysis, and LMI (linear matrix inequality) approach,the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.
MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NON-LOCAL ELLIPTIC OPERATORS SYSTEMS
Bai, Chuanzhi Korean Mathematical Society 2017 대한수학회보 Vol.54 No.3
In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.
Bai, Chuanzhi Korean Mathematical Society 2011 대한수학회보 Vol.48 No.4
By using the Lyapunov functional method, stochastic analysis, and LMI (linear matrix inequality) approach, the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.
A SYSTEM OF NONLINEAR SET-VALUED IMPLICIT VARIATIONAL INCLUSIONS IN REAL BANACH SPACES
Bai, Chuanzhi,Yang, Qing Korean Mathematical Society 2010 대한수학회논문집 Vol.25 No.1
In this paper, we introduce and study a system of nonlinear set-valued implicit variational inclusions (SNSIVI) with relaxed cocoercive mappings in real Banach spaces. By using resolvent operator technique for M-accretive mapping, we construct a new class of iterative algorithms for solving this class of system of set-valued implicit variational inclusions. The convergence of iterative algorithms is proved in q-uniformly smooth Banach spaces. Our results generalize and improve the corresponding results of recent works.
Dimensional Synthesis of Antenna-Deployable Support Structure
Fei Lin,Chuanzhi Chen,Jinbao Chen,Meng Chen 한국항공우주학회 2020 International Journal of Aeronautical and Space Sc Vol.21 No.2
To improve the deployment stability and drive efficiency, the dimensional synthesis of antenna deployable support structure is addressed. First, to evaluate the deployment stability, the transmission ratio stability index (TRSI) is designed based on Jacobian matrix. Second, the motion/force transmissibility is used to analyse the drive efficiency. A sub-closed-loop analysis method (SAM) is proposed to analyse the local motion/force transmissibility of the parallel mechanism whose sub-closed-loop contains actuator (PMSCA). An improved global transmission index (IGTI) is proposed to analyse the global motion/force transmissibility for the mechanism without good transmission workspace (GTW). Finally, based on TRSI and IGTI, the dimensional parameter optimization model of the deployable support structure is established and a configuration with better comprehensive performance is obtained. Results show that the designed indexes in this paper can be useful for indicating the stability of transmission ratio and the global motion/force transmissibility of the structure.
Na Wang,Chuanzhi Lv,Xiao Liang,Haixia Wang,Xiao Lu 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.4
This paper concerns the control problem for networked control systems (NCSs) with local and remote controllers (LRC) subject to one-step delay and intermittent observations. The main contributions lie in two aspects. Firstly, for the finite-horizon case, applying the maximum principle and the completing square, a necessary and sufficient condition is derived for the solvability of the optimal control problem. Meanwhile, we obtain the explicit controller which is a linear function of the optimal state estimator, with the feedback gain based on the coupled Riccati equations. Secondly, for the infinite-horizon case, a necessary and sufficient condition of the stabilization in the mean square sense for the system without additive noise is derived and a sufficient condition is developed for the boundedness in the mean square sense of the system with the additive noise. Numerical examples are given to show that the proposed algorithms are valid.
Fei Lin,Chuanzhi Chen,Jinbao Chen,Meng Chen 대한기계학회 2020 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.34 No.3
The primary objective of this work is to present a three-dimensional (3D) clearance model of the paired bearings support joint (PBS-joint) and address the influence of PBSjoint clearance on the accuracy of the spatial multi-loop mechanism. Through the synthetic use of the vector and homogeneous coordinate transformation methods, the 3D clearance model of the PBS-joint is obtained on the basis of the static balance condition. When clearance is equated as a spatial virtual link, the error space solution models of serial mechanism and single-loop mechanism are developed respectively according to the Denavit-Hartenberg method and the geometric closure condition. The error space standardization solution model of the multi-loop mechanism is then presented through improving the low-layer loop sequence description method of the topological structure relations. Finally, the application in the basic loop mechanism is demonstrated to discuss the procedures adopted in this work and the influence of the PBS-joint clearance. Results show that the PBS-joint clearance may cause the error on the point with a 3D deviation transmission path to deviate the normal distribution. Moreover, the plane-joint clearance model may not yield an accurate analysis of the spatial mechanism.
Research on floating slab track isolator based on mixed media theory
Zheng Fang,Chuanzhi Geng 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.10
To improve the control effect of the floating slab track system under lowfrequency vibration, a vibration isolator scheme based on a liquid and gas mixture is proposed. Taking the elastic element of the air cushion as the research object, the fluid-structure coupling theory is used to analyze its deformation law under high load conditions, and the nonlinear stiffness calculation method of the liquid and gas mixture isolator is given and verified. Using the theory of mixed media, the parameters and structure of the liquid-gas mixture isolator are designed and trial-manufactured. The wheel load drop is used to analyze and compare the lowfrequency vibration reduction effects of different elastic supports. The vibration reduction effect of the liquid and gas mixture isolator relative to the steel spring isolator and rubber isolator is 4.75 dB and 10.12 dB, respectively, showing a good comprehensive vibration control effect.