2023 Vol. 44, No. 3

Dynamics and Control
Active Disturbance Rejection Control of Quadrotor UAVs Based on Joint Observation and Feedforward Compensation
XIAO Yougang, TONG Junhao
2023, 44(3): 229-240. doi: 10.21656/1000-0887.430135
Abstract(926) HTML (315) PDF(115) [Cited by] (4)
Abstract:

Under the effects of uncertain parameters and external disturbances, the attitude and trajectory tracking accuracy will be reduced and the response will be slowed down in the flight control of quadrotor unmanned air vehicles (UAVs). To solve this problem, the extended Kalman filter method was used g...

Dynamic Responses Analysis of Bridges With Uncertain Parameters Under  Moving Loads
LIU Fan, LI Lixiang, ZHAO Yan
2023, 44(3): 241-247. doi: 10.21656/1000-0887.430148
Abstract(730) HTML (306) PDF(87) [Cited by] (4)
Abstract:

The dynamic responses of bridges with uncertain parameters under moving loads were analyzed, and a polynomial dimensional decomposition method for the analysis of structural responses induced by moving loads was proposed for the first time. The uncertain parameters were regarded as independent rando...

A Complex Mode Method for Wind-Induced Responses of 6-Parameter Practical Viscoelastic Damping Energy Dissipation Structures Based on the Davenport Wind Speed Spectrum
LI Chuangdi, LI Yuxiang, YANG Xuefeng, GE Xinguang
2023, 44(3): 248-259. doi: 10.21656/1000-0887.420211
Abstract(613) HTML (250) PDF(48) [Cited by] (2)
Abstract:

Based on the Davenport wind speed spectrum, the responses of 6-parameter practical viscoelastic damping energy dissipation structures were studied systematically. Firstly, the differential constitutive relation of the 6-parameter viscoelastic damper was used to establish the motion equation of the e...

Solid Mechanics
Responses of SDOF Structures With SPIS- Dampers Under Random Seismic Excitation
LI Chuangdi, JIANG Lifu, WANG Ruibo, GE Xinguang
2023, 44(3): 260-271. doi: 10.21656/1000-0887.430166
Abstract(687) HTML (254) PDF(51) [Cited by] (6)
Abstract:

A closed-form solution of responses of SDOF structures with SPIS-Ⅱ dampers under seismic excitation modeled with the Clough-Pezien spectrum was proposed, and the shock absorption performance and influential factors of this system were studied based on the proposed method. Firstly, the motion equatio...

Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Material Plates
SHEN Lulu, CAI Fangyuan, YANG Bo
2023, 44(3): 272-281. doi: 10.21656/1000-0887.430224
Abstract(953) HTML (404) PDF(92) [Cited by] (8)
Abstract:

Functionally graded piezoelectric materials (FGPMs), combining the properties of functionally graded materials and piezoelectric materials, provides a new idea for multi-functional and intelligent lightweight components, and has broad application prospects in electronic devices. Based on the elastic...

Investigation on the 2D Contact of Multilayer Functionally Graded Piezoelectric Material Coating Under Conducting Indenters
DAI Wenxin, LIU Tiejun
2023, 44(3): 282-303. doi: 10.21656/1000-0887.430187
Abstract(689) HTML (474) PDF(94) [Cited by] (1)
Abstract:

In view of the contact problem of functionally graded piezoelectric material (FGPM) coating under different kinds of conducting indenters, effects of the gradient index on the contact mechanical behavior of the FGPM coating were investigated. A model for the multilayer FGPM coating was established. ...

Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis
YAN Yu, LOU Qin, CHEN Jiahao
2023, 44(3): 304-318. doi: 10.21656/1000-0887.430165
Abstract(845) HTML (324) PDF(67) [Cited by] (2)
Abstract:

The contact angle hysteresis is defined as the difference between the advancing and receding contact angles, and is an important phenomenon in the two-phase flow on the wet surface. An improved pseudo-potential lattice Boltzmann (LB) multiphase flow model, combined with geometric wetting boundary co...

Applied Mathematics
Adaptive Evolution Analysis of a Predator-Prey Model With Group Defense
LI Shiqi, TANG Sanyi
2023, 44(3): 319-332. doi: 10.21656/1000-0887.430251
Abstract(784) HTML (285) PDF(87)
Abstract:

Based on the theoretical framework of adaptive dynamics, the evolution of the predator-prey model with functional response of group defense effect on the predator handling time, was investigated. Firstly, in view of the interaction of predator populations with interspecific competition, the evolutio...

An Infectious Disease Model With Media Coverage and Limited Medical Resources
LIU Dan, WANG Yan, REN Xinzhi, LIU Xianning
2023, 44(3): 333-344. doi: 10.21656/1000-0887.430160
Abstract(729) HTML (261) PDF(72) [Cited by] (7)
Abstract:

A dynamical model for infectious disease with media coverage effects and limited medical resources was established and analyzed. The basic reproduction number of the disease was defined, the existence and stability of the equilibria were analyzed, and the conditions for the forward bifurcation, the ...

Dynamics of a Diffusion Malaria Model With Vector-Bias
DU Caihong
2023, 44(3): 345-354. doi: 10.21656/1000-0887.430095
Abstract(764) HTML (246) PDF(80)
Abstract:

In order to explore the combined effects of seasonality, vector-bias and human diffusion on malaria transmission, a partially degenerate periodic reaction-diffusion model was considered. With the persistence theory for dynamical systems, the threshold dynamics for the system was established in terms...

Dynamics Analysis of Cannibalistic Model With Density Dependence in Mature Stage
JIA Xibei, LIN Xiaolin, LI Jianquan, CAO Meiqi
2023, 44(3): 355-366. doi: 10.21656/1000-0887.430120
Abstract(636) HTML (242) PDF(64) [Cited by] (2)
Abstract:

In view of the density dependence of mature individuals, a two-stage cannibalistic model with the egg-to-maturity stage was established. The dynamic behaviors of the model were discussed from two aspects. In the case without cannibalism, the global asymptotic stability of the equilibrium points was ...