应用数学和力学

2020 Vol. 41, No. 4

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Buckling Critical Load Calculation and Analysis of Axially Impacted Cylindrical Shells Embedded in Elastic Media

GUI Yifei, MA Jianmin

2020, 41(4): 353-366. doi: 10.21656/1000-0887.400137

Abstract(2039) HTML (434) PDF(382)

Abstract:
The radial governing equations for cylindrical shells embedded in elastic media were established and solved. The bifurcation conditions for dynamic buckling before and after stress wave reflection were obtained, in view of the boundary conditions and the consistency conditions. The relationships amo...

On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis

YIN Xiaoli, LI Chunming

2020, 41(4): 367-375. doi: 10.21656/1000-0887.400173

Abstract(1914) HTML (352) PDF(304)

Abstract:
The crankrocker mechanism is a typical planar quabody mechanism. When the crank is a driven part, there is a kinematics bifurcation position (stuck position or dead point) with the collinear crank and rod. So it is difficult to achieve accurate programmed research. With the crank as the driving par...

Fracture Mechanics Analysis of Mode-Ⅲ Radial Multi Cracks on the Edge of a Hole With Surface Effects

FENG Guoyi, XIAO Junhua, SU Mengyu

2020, 41(4): 376-385. doi: 10.21656/1000-0887.400177

Abstract(1774) HTML (453) PDF(249)

Abstract:
The mode-Ⅲ fracture properties of the radial multi cracks on the edge of a nanoscale circular hole were theoretically investigated. Based on the Gurtin-Murdoch surface elasticity theory and the conformal mapping technique, the analytical solutions of the stress fields around the hole and cracks were...

Analysis on Restrained Torsional Shear Stresses of Box Girders With Corrugated Steel Webs

WEI Na, ZHANG Yuanhai, YAO Xiaodong

2020, 41(4): 386-395. doi: 10.21656/1000-0887.390329

Abstract(1561) HTML (313) PDF(300)

Abstract:
Based on the theory of circumferential non-deformation, and combined with the calculation and analysis on constrained torsion of closed thin-wall members, the distribution and calculation of torsional shear stresses were addressed for composite box girders with corrugated steel webs. The distributio...

Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels

WANG Shuang, JIAN Yongjun

2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151

Abstract(1283) HTML (208) PDF(236)

Abstract:
Two-dimensional magnetohydrodynamic (MHD) electroosmotic flow (EOF) in zeta potential patterned micro-parallel channels was studied. The flow was driven by the combination of the Lorentz force and the electric field force produced due to an externally imposed vertical magnetic field and two horizont...

Phragmén-Lindelöf Type Results for Non-Standard Stokes Flow Equations Around Semi-Infinite Cylinder

LI Yuanfei

2020, 41(4): 406-419. doi: 10.21656/1000-0887.400272

Abstract(2260) HTML (521) PDF(329)

Abstract:
The initial-boundary value problem of nonstandard Stokes fluid equations defined around semi-infinite cylinder was considered, in which the nonlinear boundary condition was applied to the finite end of the cylinder and the zero boundary condition was satisfied on the side face of the cylinder. In ...

Limits of Riemann Solutions for Generalized Chaplygin Gas Magnetohydrodynamic Euler Equations With Source Terms

YU Kangning, GUO Lihui

2020, 41(4): 420-437. doi: 10.21656/1000-0887.400122

Abstract(1946) HTML (446) PDF(325)

Abstract:
The asymptotic behaviors of Riemann solutions for generalized Chaplygin gas magnetohydrodynamic Euler equations with source terms were considered. The self-similarity of the solutions is no longer true due to the inhomogeneous term. They will converge to Riemann solutions for zero-pressure flow tran...

Dynamic Behaviors of Filippov Ecosystems Induced by Allee Effects

QIN Wenjie, GUAN Haiyan, WANG Peipei, TANG Guangyao

2020, 41(4): 438-447. doi: 10.21656/1000-0887.400169

Abstract(1638) HTML (300) PDF(286)

Abstract:
A non-smooth Filippov predatorprey system induced by Allee effects was proposed. The sliding domain, the sliding mode dynamics and the existence of several equilibria were discussed by means of the qualitative theory and method related to the Filippov system. Furthermore, the sliding mode bifurcati...

An Evaluation Method for Impacts of a New Satellite Hall on Boarding Gates

YANG Pengfei, LI Ting, RU Hongwu, CHEN Haibin

2020, 41(4): 448-457. doi: 10.21656/1000-0887.400189

Abstract(1638) HTML (406) PDF(331)

Abstract:
In order to solve the passenger flow saturation in the airport terminal, the addition of a satellite hall was used to realize passenger diversion. Based on the method of single-objective integer linear programming and multi-objective optimization, the boarding gate assignment optimization network mo...

Vector Variational-Like Inequalities and Vector Optimization Problems Involving ρ-(η,d)-B Invexity on Riemannian Manifolds

LIU Shuang, MO Dingyong, ZHOU Zhiang

2020, 41(4): 458-466. doi: 10.21656/1000-0887.400227

Abstract(2060) HTML (365) PDF(311)

Abstract:
A class of optimality problems involving the generalized directional derivatives were studied on Riemannian manifolds. Firstly, by means of the generalized directional derivative, three concepts of the ρ-(η,d)-B invex function, the pseudo ρ-(η,d)-B invex function and the quasi ρ-(η,d)-B invex functi...