应用数学和力学

2021 Vol. 42, No. 11

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Dynamics and Control
Solid Mechanics
Applied Mathematics

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Dynamics and Control

Motion Prediction of Free-Floating Space Non-Cooperative Targets

WANG Qishuai, ZHOU Bangzhao, LIU Xiaofeng, CAI Guoping

2021, 42(11): 1103-1112. doi: 10.21656/1000-0887.420017

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Abstract:
Motion prediction of space non-cooperative target is an important issue for spacecraft on-orbit service. With obtained high-precision motion prediction results, the chaser can plan its motion trajectory to approach the target and then capture it. A motion prediction method was proposed for free-floa...

Numerical Study on Dynamic Responses and Failure Behaviours of Aramid Fabrics Subject to Blast Loads

FENG Zhenyu, JIANG Chao, GAO Binyuan, XIE Jiang, PEI Hui

2021, 42(11): 1113-1125. doi: 10.21656/1000-0887.420025

Abstract(713) HTML (362) PDF(66)

Abstract:
In order to study the anti-blast performance of flexible fabrics, the dynamic response and failure behavior of aramid fabric under blast impact were analyzed with the numerical simulation method. Mechanical tests of aramid fabric H1000D-AP220 were carried out, and the constitutive model for woven fa...

Transient Primary Resonance Phase-Frequency Characteristics of Stay Cables With Different Tensions

DENG Zhengke, SUN Ceshi, YANG Rudong

2021, 42(11): 1126-1135. doi: 10.21656/1000-0887.420033

Abstract(769) HTML (314) PDF(54)

Abstract:
The transient phase-frequency characteristics of stay cables with different cable forces were studied in view of the cable sag and geometric nonlinearity. The method of multiple scales was used to solve the ordinary differential equations of motion for cables subjected to in-plane distributed excita...

Solid Mechanics

Determination of Soil Mechanical Parameters From Posterior Distributions Under Different Prior Distributions

WEI Deyong, RUAN Yongfen, YAN Ming, GUO Yuhang, DING Haitao

2021, 42(11): 1136-1149. doi: 10.21656/1000-0887.410385

Abstract(888) HTML (264) PDF(57)

Abstract:
The values of soil layer parameters in geotechnical engineering were determined according to field and laboratory test data with classical statistical methods, without use of the prior information. Unlike classical statistical methods, the Bayes method combines samples from the perspective of prior ...

Topology Optimization of Nonlinear Material Structures Based on Parameterized Level Set and Substructure Methods

LEI Yang, FENG Jianhu

2021, 42(11): 1150-1160. doi: 10.21656/1000-0887.420090

Abstract(936) HTML (424) PDF(49)

Abstract:
In order to overcome the problems of complicated calculation process and lower computational efficiency of the traditional level set method (LSM), for nonlinear structure topology optimization, a parameterized level set method (PLSM) was introduced. Through interpolation of the initial level set fun...

Lie Symmetries and Conserved Quantities of Lagrangian Systems With Time Delays

ZHENG Mingliang

2021, 42(11): 1161-1168. doi: 10.21656/1000-0887.410184

Abstract(1002) HTML (332) PDF(40)

Abstract:
The Lie symmetries and conserved quantities of non-conservative mechanical systems with time delays in configuration space were studied. Firstly, the piecewise Lagrangian equations for non-conservative systems with time delays were established according to the Hamiltonian principle of dynamics with ...

A Boundary Element Method for Steady-State Heat Transfer Problems Based on a Novel Type of Interpolation Elements

HOU Junjian, GUO Zhuangzhi, ZHONG Yudong, HE Wenbin, ZHOU Fang, XIE Guizhong

2021, 42(11): 1169-1176. doi: 10.21656/1000-0887.410394

Abstract(903) HTML (344) PDF(78)

Abstract:
To improve the computational accuracy of the boundary element method (BEM) for solving the steady-state heat problems, a new method was studied with a new element interpolation method (called expansion element interpolation method). The novel expansion interpolation element was obtained through conf...

Identification of Crack Tip Positions Based on the Scaled Boundary Finite Element Method and the Grey Wolf Optimization Algorithm

YU Bo, SUN Wenjian

2021, 42(11): 1177-1189. doi: 10.21656/1000-0887.410381

Abstract(897) HTML (356) PDF(42)

Abstract:
Based on the scaled boundary finite element method (SBFEM) and the grey wolf optimization algorithm (GWO), an identification method for crack tips was proposed. Firstly, the special advantages of the SBFEM were used to solve the fracture mechanics problem, the displacements of measurement points req...

Applied Mathematics

Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays

WANG Chunsheng

2021, 42(11): 1190-1202. doi: 10.21656/1000-0887.410323

Abstract(870) HTML (349) PDF(48)

Abstract:
A class of nonlinear stochastic integro-differential dynamical systems were discussed, the necessary and sufficient conditions for the mean-square asymptotic stability of the zero solution to the system were given by means of the Banach fixed point method, and a mean-square asymptotic stability theo...

A Modified Euler-Maruyama Scheme for Multi-Term Fractional Nonlinear Stochastic Differential Equations With Weakly Singular Kernels

QIAN Siying, ZHANG Jingna, HUANG Jianfei

2021, 42(11): 1203-1212. doi: 10.21656/1000-0887.420067

Abstract(933) PDF(63)

Abstract:
A modified Euler-Maruyama (EM) scheme was constructed for a class of multi-term fractional nonlinear stochastic differential equations with weak singularity kernels, and the strong convergence of this modified EM scheme was proved. Specifically, according to the sufficient condition for stochastic i...

Fault Estimation for Nonlinear Systems Based on Intermediate Estimators

WEI Yuheng, TONG Dongbing, CHEN Qiaoyu

2021, 42(11): 1213-1220. doi: 10.21656/1000-0887.410335

Abstract(1044) PDF(83)

Abstract:
Based on the intermediate estimator, the fault estimation problem was studied for the nonlinear systems with time delays and multiple faults. Intermediate variables and intermediate estimators were designed to realize fault estimation and avoid the limitation of observer matching conditions. Accordi...