应用数学和力学

2018 Vol. 39, No. 5

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Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake

ZHAO Yan, JIA Tian, ZHOU Ruipeng

2018, 39(5): 493-505. doi: 10.21656/1000-0887.380333

Abstract(1713) PDF(523)

Abstract:
According to the non-stationary and coherent characteristics of seismic load, a frequency-domain method for random vibration analysis of underground pipeline-soil structures was proposed. The Fourier-Stieltjes integral was used to describe the non-stationary stochastic process, and the time-dependen...

A Singularity Analysis on Dynamics of Symmetric Cross-Ply Composite Sandwich Plates Under 1∶2 Resonance

GUO Yuhong, ZHANG Wei, YANG Xiaodong

2018, 39(5): 506-528. doi: 10.21656/1000-0887.380190

Abstract(1376) PDF(575)

Abstract:
Inner resonance is a typical nonlinear dynamic behavior, and the symmetric crossply composite sandwich plates have been widely used in aerospace. The studies about inner resonance of such sandwich plates have both theoretical and engineering significances. Based on the dynamic equations for the san...

Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System

KOU Lei, XU Jianguo, WANG Bo

2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155

Abstract(1348) PDF(504)

Abstract:
Based on the governing viscoelastic equations in the Cartesian coordinate system, the analytical element stiffness matrices in the integral transform domain of 3D problems of viscoelastic foundation under axisymmetric and non-axisymmetric dynamic loads were derived with the Fourier-Laplace transform...

Elasticity Solutions for Functionally Graded Circular and Annular Plates Subjected to Boundary Forces and Moments

ZHANG Ying, MEI Jing, CHEN Ding, YANG Bo

2018, 39(5): 538-547. doi: 10.21656/1000-0887.380275

Abstract(1544) PDF(465)

Abstract:
On the basis of the generalized England-Spencer plate theory, the 3D elastic fields of functionally graded circular and annular plates subjected to boundary forces were studied. The elastic constants of the material can be arbitrarily continuously variable along the thickness direction. Expressions ...

Complex Variable Function Solutions for Stress and Displacement Distributions in Surrounding Rock of Deep Buried Highway Tunnels

LIU Shuhong, WANG Zihao, ZHEN Weigang

2018, 39(5): 548-557. doi: 10.21656/1000-0887.380137

Abstract(1458) PDF(523)

Abstract:
In order to optimize the design of highway tunnels and ensure the safety of construction, mechanical behavior of rock shall be made clear during highway tunnel excavation. With the complex variable method, firstly, the exterior domain of the tunnel was transformed into a unit-circle domain through t...

A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults

LIU Qiguo, XU Youjie, LIU Yicheng, QI Shengzhi

2018, 39(5): 558-567. doi: 10.21656/1000-0887.380297

Abstract(1069) PDF(501)

Abstract:
Closed faults exist in some regions of eastern China, and they have great influence on the pressure characteristics of oil wells. Based on the basic principles of seepage mechanics, firstly, the bottom pressure solution of infinite-conductivity vertical fractured wells in the Laplace space was obtai...

A Method of Fluid-Solid Coupling Dynamics for Tube Bundle Vibration and Collision in a Cylinder Fluid Domain

YUE Qianbei, LIU Jubao, LUO Min, ZHANG Qiang

2018, 39(5): 568-583. doi: 10.21656/1000-0887.380265

Abstract(1559) PDF(804)

Abstract:
In offshore platforms, nuclear power stations and oil fields, the marine risers and heat exchangers are liable to vibrations induced by cross flow and consequent collision between bundle tubes, and even fail in the flow field. This is a typical problem in the fluid-solid coupling dynamics of flow-in...

Global Exponential Stability of Complex-Valued Neural Networks With Proportional Delays

ZHANG Lei, SONG Qiankun

2018, 39(5): 584-591. doi: 10.21656/1000-0887.380257

Abstract(1957) PDF(601)

Abstract:
The global exponential stability of complex-valued neural networks with proportional delays was investigated. By means of the vector Lyapunov function theory, the homomorphic mapping theorem, the M-matrix theory and the inequality technique, a delay-independent sufficient condition was obtained to e...

Traveling Waves of a Delayed Differential System in a Lattice

CAO Huarong, WU Shiliang

2018, 39(5): 592-610. doi: 10.21656/1000-0887.380165

Abstract(1517) PDF(491)

Abstract:
The qualitative properties of traveling waves of a delayed differential system in a lattice with a quiescent stage were addressed. Under monostable and quasi-monotone assumptions, the existence of the traveling wave solutions were first established. Then, the asymptotic behavior, monotonicity and un...

Traveling Wave Solutions for Nonlocal Dispersal SIR Models With Spatio-Temporal Delays

ZOU Xia

2018, 39(5): 611-630. doi: 10.21656/1000-0887.380118

Abstract(1285) PDF(466)

Abstract:
In view of the infected individuals with the ability to move freely and spread disease, the traveling wave solutions for nonlocal dispersal SIR models with spatiotemporal delays were investigated. The threshold dynamics was determined by means of the basic reproduction number and the minimal wave s...