应用数学和力学

2016 Vol. 37, No. 3

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A Thought about the Development of Applied Mathematics in China

ZHONG Wan-xie

2016, 37(3): .

Abstract(1055) PDF(988)

Abstract:

A Nonorthogonal Constitutive Model for Woven Composites Involving Biaxial Tension Coupling

ZHANG Bi-chao, PENG Xiong-qi, HUANG Xiao-shuang

2016, 37(3): 227-234. doi: 10.3879/j.issn.1000-0887.2016.03.001

Abstract(1329) PDF(811)

Abstract:
Based on the continuum mechanics theory, a nonorthogonal constitutive model for woven composites involving biaxial tension coupling was developed. The biaxial tension coupling effects of the composite fabric were introduced into a previously built nonorthogonal constitutive model, and the method to ...

The Variational Principle for Multi-Layer Timoshenko Beam Systems Based on the Simplified

XU Xiao-jian, DENG Zi-chen

2016, 37(3): 235-244. doi: 10.3879/j.issn.1000-0887.2016.03.002

Abstract(1512) PDF(690)

Abstract:
The mechanical properties of member materials exhibit notable size effects when the characteristic sizes of the members are comparable to their instinct length parameters. A variational formulation of the nanosize multi-layer Timoshenko beam problem was developed via the semi-inverse method within t...

Characterization of the tool-part interaction during the curing of CFRP composites

SUN Liang-liang, WANG Ji-hui, DING An-xin

2016, 37(3): 245-255. doi: 10.3879/j.issn.1000-0887.2016.03.003

Abstract(1387) PDF(482)

Abstract:
Experiments with fiber bragg grating (FBG) sensors and the related theoretical model were used to study the toolpart interaction during the curing of carbon fiber reinforced polymer (CFRP) composites. The results show that on the condition of using release agent, the sliding friction and sticking f...

Numerical research of temperature field during resin transfer molding

SHI Fei, CHENG Xiao-min, ZHANG Tao-jie, DONG Xiang-huai

2016, 37(3): 256-265. doi: 10.3879/j.issn.1000-0887.2016.03.004

Abstract(1214) PDF(573)

Abstract:
The temperature field is the most important concern during resin transfer molding of resin-based composite materials. The temperature field deciding the molding process and product quality was investigated through numerical simulation. Some factors influencing the temperature field, such as porosity...

Stress relaxation properties and the prediction models for PTFE membranes

XU Shan-shan, ZHANG Ying-ying, ZHANG Qi-lin

2016, 37(3): 266-276. doi: 10.3879/j.issn.1000-0887.2016.03.005

Abstract(1644) PDF(610)

Abstract:
With the PTFE membranes as the research object, the uniaxial stress relaxation tests were carried out respectively under 5 temperatures (23, 40, 50, 60, 70 ℃) and at 4 initial tensile rates (2, 5, 10, 20 N/s), and the effects of these 2 kinds of factors on the stress relaxation properties of the mem...

Research on vortex-induced vibration of flexible pipes at different locations in a limited fluid domain

YUE Qian-bei, DONG Ri-zhi, LIU Ju-bao

2016, 37(3): 277-289. doi: 10.3879/j.issn.1000-0887.2016.03.006

Abstract(1278) PDF(453)

Abstract:
In view of the vortex-induced vibration of flexible pipes in a limited fluid domain, the flexible pipe was numerically discretized into 3D beam elements and the fluid body was discretized into solid elements. The fluid-structure interaction model and numerical calculation method were set up for the ...

Research of pressure wave velocity and response time for oil-gas mixing transportation in large span pipelines

SHI Shuang, JING Jia-qiang, KONG Xiang-wei

2016, 37(3): 290-300. doi: 10.3879/j.issn.1000-0887.2016.03.007

Abstract(1014) PDF(494)

Abstract:
Based on the 2-fluid model and the theory of small perturbation, the pressure wave velocity model was put forward for the oil-gas mixing transportation in large span pipelines, and the computer program to solve this model was built. The conclusions based on a practical engineering example are as fol...

Numerical simulation of mixing enhancement in T-shaped micromixers

XIAO Shui-yun, LI Ming, YANG Da-yong

2016, 37(3): 301-310. doi: 10.3879/j.issn.1000-0887.2016.03.008

Abstract(1280) PDF(626)

Abstract:
To study the effects of different mixing enhancement modes on micromixing, numerical simulations with the finite element method were carried out on the simple T-shaped micromixers, the active T-shaped micromixers with surface heterogeneous Zeta potential and the passive T-shaped micromixers with emb...

A numerical approximation method for nonlinear dynamic systems based on radial basis functions

LI Yan-ting, XU Xi-bin, ZHOU Shi-liang, XU Ji-qing

2016, 37(3): 311-318. doi: 10.3879/j.issn.1000-0887.2016.03.009

Abstract(1905) PDF(824)

Abstract:
The radial basis functions have the advantages of simple forms and isotropy. A new numerical method for solving the initial-value problems of nonlinear dynamic systems was constructed through combination of the idea of the radial basis function approximation and the weighted residual collocation poi...

Solitary solutions to generalized Schrödinger disturbed coupled systems

SHI Juan-rong, ZHU Ming, MO Jia-qi

2016, 37(3): 319-330. doi: 10.3879/j.issn.1000-0887.2016.03.010

Abstract(1115) PDF(542)

Abstract:
A class of generalized nonlinear Schrödinger disturbed coupled systems were studied. Firstly, with a special projection method of undetermined coefficients the solitary exact travelling wave solutions to the corresponding nondisturbed coupled systems were found, which were selected as the initial a...