2021 Vol. 42, No. 7

Display Method:
Dynamics and Control
Dynamic Load Identification and Structural Response Reconstruction Based on the Augmented Kalman Filter
ZHANG Chaodong, LI Jian’an
2021, 42(7): 665-674. doi: 10.21656/1000-0887.410252
Abstract(913) PDF(99) [Cited by] (14)
Abstract:
For traditional load identification methods the ill-posedness problem brings about relatively large errors, and due to the insufficiency of monitoring sensors, the structural vibration responses at the damage points can’t be exhaustively monitored. Therefore, an augmented Kalman filter (AKF) algorit...
Adaptive Terminal Sliding Mode Control of Uncertain Electro-Hydraulic Position Servo Systems
LIU Qilong, HAN Jiang, YANG Siyang, DONG Fangfang, XIA Lian
2021, 42(7): 675-685. doi: 10.21656/1000-0887.410186
Abstract(822) PDF(64) [Cited by] (11)
Abstract:
To solve the position tracking control problem of nonlinear and uncertain electrohydraulic servo systems, an adaptive terminal sliding mode control method based on the backstepping method was proposed. This method combines the adaptive control with the terminal sliding mode method. On the one hand, ...
NLMS Feedback Vibration Control of Open Cylindrical Shells With Active Constrained Layer Damping
HUANG Zhidan, XIANG Nan, SU Cheng
2021, 42(7): 686-695. doi: 10.21656/1000-0887.410312
Abstract(717) PDF(28) [Cited by] (5)
Abstract:
A novel partial active constrained layer damping (ACLD) structure was proposed to reduce the vibration of thinwalled open cylindrical shells. Based on the Sanders thinshell theory and the Lagrange equation, the dynamic model for open cylindrical shells with the partial ACLD structure was establish...
Stability Analysis of Discrete Time-Delay Singularly Perturbed Uncertainty Control Systems
SUN Fengqi
2021, 42(7): 696-703. doi: 10.21656/1000-0887.410208
Abstract(1188) PDF(57) [Cited by] (4)
Abstract:
The stability of discrete control systems with time delay, singular perturbation and uncertainty was studied. With a designed new Lyapunov-Krasovskii functional, based on the cross term defined technique, the linear matrix analysis method and the related lemmas, and furthermore, according to the Lya...
Finite Element Analysis on Mixed-Mode Dynamic Fracture Experiments of Centrally Cracked Brazilian Disks With Crack Face Contact
LI Nianbin, DONG Shiming, HUA Wen
2021, 42(7): 704-712. doi: 10.21656/1000-0887.410349
Abstract(815) PDF(45) [Cited by] (1)
Abstract:
To verify the feasibility of measuring brittle material’s complex-mode dynamic fracture toughness, the centrally cracked Brazilian disk (CCBD) specimen was tested under dynamic loads in the split Hopkinson pressure bar (SHPB) system in view of crack face contact. The 3D SHPB-CCBD finite element mode...
Double Resonance of Magnetism-Solid Coupling of in-Plane Moving Thin Plates With Linear Loads and Elastic Supports
HU Yuda, LIU Chao
2021, 42(7): 713-722. doi: 10.21656/1000-0887.410202
Abstract(696) PDF(35) [Cited by] (7)
Abstract:
For the in-plane moving thin plates with linear loads and elastic supports in magnetic field, the potential energy, the kinetic energy and the electromagnetic force expressions of the system were given. Based on the Hamiltonian variational principle, the magnetism-solid coupling nonlinear vibration ...
Applied Mathematics
The Backward Heat Conduction Problem With Variable Coefficients in a Spherical Domain
GENG Xiaoxiao, CHENG Hao
2021, 42(7): 723-734. doi: 10.21656/1000-0887.410297
Abstract(746) PDF(44) [Cited by] (2)
Abstract:
The backward heat conduction problem with variable coefficients in a spherical domain was considered. This problem is ill-posed, i.e., the solution (if it exists) to this problem does not depend continuously on the measured data. A projected iteration regularization method was constructed to obtain ...
Kolmogorov Entropy of Random Attractors for Stochastic Lattice Systems With White Noise
BAN Ailing, ZHOU Kai
2021, 42(7): 735-740. doi: 10.21656/1000-0887.410360
Abstract(740) PDF(33) [Cited by] (6)
Abstract:
Based on the asymptotic behavior theory for solutions of dissipative stochastic lattice systems, the Kolmogorov entropy of random attractors in stochastic Klein-Gordon-Schrdinger lattice dynamic systems with white noise was studied with the element decomposition method and the topological propertie...
Dispersive Quantization of 2D Linear Dispersive Equations
YIN Zihan, KANG Jing
2021, 42(7): 741-750. doi: 10.21656/1000-0887.410142
Abstract(940) PDF(39) [Cited by] (3)
Abstract:
The dispersive quantization of the 2D linear KdV equation and the 2D linear Schrödinger equation were studied over a bounded rectangle domain in the plane. The research shows that, for the KdV equation, if the period ratio is a rational number, at the rational moments, the solution to the periodic i...
Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering
MA Jianwu, GAO Yan, GU Fengjiao, CHEN Lingqi
2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228
Abstract(875) PDF(50) [Cited by] (2)
Abstract:
The master-slave synchronization of chaotic Lur’e systems with time-varying delays was investigated based on the event-triggered sampled-data control. First, the transmission time delays contained in the systems were considered, and the system time delay model was constructed. Then, the Lyapunov-Kra...
A Golden Ratio Algorithm for Solving Nonmonotone Variational Inequalities
YANG Jun
2021, 42(7): 764-770. doi: 10.21656/1000-0887.410359
Abstract(1208) PDF(110) [Cited by] (8)
Abstract:
A gradient projection method was considered for solving variational inequalities, and a golden ratio gradient algorithm for solving nonmonotonic mapping was given. The characteristics of the algorithm combine those of the inertial acceleration method, without the knowledge of the mapping’s Lipschitz...