应用数学和力学

2020 Vol. 41, No. 5

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Response Parameter Analysis of Submerged Floating Tunnels Under Underwater Shock

LUO Gang, ZHANG Yulong, PAN Shaokang, JIA Hanghang, LIU Chang

2020, 41(5): 467-479. doi: 10.21656/1000-0887.400249

Abstract(1436) HTML (282) PDF(340)

Abstract:
To investigate the dynamic responses of submerged floating tunnels (SFTs) subjected to near-field non-contact explosions, the SFT was simplified as a constant-section-and-stiffness Bernoulli-Euler elastic-support beam to establish the SFT dynamic model under underwater shock load. The differential e...

Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers

SUN Yunqing, WU Zhiqiang, ZHANG Guoqi, WANG Yuancen

2020, 41(5): 480-490. doi: 10.21656/1000-0887.400257

Abstract(1871) HTML (366) PDF(322)

Abstract:
To study the vortex-induced vibration (VIV) of top tension risers (TTRs) under shear flow, the non-linear dynamic model of VIV for TTRs was constructed, in which the riser was simplified as an Euler-Bernoulli beam model and the van der Pol wake oscillator was used to describe the effect of fluid. Ba...

Numerical Simulation Research of Effects of Pulsating Air Flow on Liquid Film Evaporation Over Vertical Plates

ZHONG Yin, LING Changming, XIE Gongnan

2020, 41(5): 491-498. doi: 10.21656/1000-0887.400386

Abstract(1290) HTML (344) PDF(302)

Abstract:
A 2D physical and mathematical model for vertical plate falling film evaporation was established. The effects of pulsating airflow on the falling film evaporation process were studied through numerical simulation. The change rule of the Sherwood number under different average air velocities, amplitu...

Numerical Study of Fluidelastic Instability Fluid Force Model for Normal-Triangle Tube Arrays

LIU Jian, ZHANG Yixiong, FENG Zhipeng, YE Xianhui, CHEN Guo, QI Huanhuan

2020, 41(5): 499-508. doi: 10.21656/1000-0887.400269

Abstract(1732) HTML (402) PDF(270)

Abstract:
To study the fluidelastic instability (FEI) fluid force model, the FEI process controlled by the fluid damping mechanism was taken as the research object, and the fluid-tube interaction was simulated with one elastic tube in the middle of a normal-triangle tube array under a series of free stream fl...

20-Node Hexahedron Symplectic Elements for Stress Analysis of Composite Laminates

TONG Yao, YAO Yuzhe

2020, 41(5): 509-516. doi: 10.21656/1000-0887.400283

Abstract(1234) HTML (245) PDF(377)

Abstract:
Usually, the accuracy of the stresses obtained with the conventional displacement finite element method is one-order lower than that of the displacements, and the out-of-plane stresses can hardly meet the continuity requirements. Then, combined with the minimum potential energy principle and the H-R...

Shear Lag Effects of Continuous Corrugated Steel Web-Steel Bottom-Concrete Top Composite Box Girders

MA Chi, LIU Shizhong, LI Aijun, JIN Xuejun

2020, 41(5): 517-529. doi: 10.21656/1000-0887.400236

Abstract(1659) HTML (343) PDF(459)

Abstract:
With different moduli of the concrete top and the steel bottom, the governing differential equations and boundary conditions for shear lag effects of corrugated steel web-steel bottom-concrete top (CSWSBCT) composite box girders were derived with the variational method. The formula for shear lag coe...

Near-Singularity Cancellation With the Angle-Distance Transformation Method for Boundary Integral Equations

ZHOU Fenglin, XIE Guizhong, ZHANG Jianming, LI Luoxing

2020, 41(5): 530-540. doi: 10.21656/1000-0887.400229

Abstract(1445) HTML (303) PDF(391)

Abstract:
To address the nearsingularity computation problem involved in the boundary element analysis of thinwalled structures, an angledistance combined transformation method was developed. With this combined method, the computational accuracy and efficiency can be significantly improved. The near singul...

Analytical Stress Solutions Around Tunnels With Arbitrary-Excavation Cross Sections Based on Conformal Mapping From a Unit Circle to the Tunnel Exterior

SHI Gaoping, ZHU Jianghong, YANG Jianhui

2020, 41(5): 541-556. doi: 10.21656/1000-0887.400220

Abstract(1460) HTML (249) PDF(324)

Abstract:
The stresses around tunnels with arbitrary-excavation cross sections were studied with the stress field simplified as a uniform stress field at an angle to the horizontal axis at infinity. The conformal mapping function was introduced to express the stress functions of surrounding rock with variable...

Effects of Age Structure, Contact Patterns and Vaccination on Transmission of the Hand-Foot-Mouth Disease

ZHOU Feng, ZHU Guanghu, TANG Tian

2020, 41(5): 557-567. doi: 10.21656/1000-0887.400175

Abstract(1867) HTML (364) PDF(355)

Abstract:
In order to further reveal the transmission mechanism and optimize the immune strategy of the hand-foot-mouth disease (HFMD), a new HFMD transmission model was proposed under the effects of age structure, contact patterns and vaccination. The next generation matrix was used to calculate the basic re...

Analysis of the Predator-Prey Model With Nonlinear Impulsive Control

LI Changtong

2020, 41(5): 568-580. doi: 10.21656/1000-0887.400226

Abstract(1873) HTML (412) PDF(317)

Abstract:
Due to limited resources and population densities, the actual pest control strategies such as spraying pesticide and releasing natural enemies have saturation effects or nonlinearity. Therefore, a predator-prey model with nonlinear impulsive control due to resource limitation was proposed and analyz...