应用数学和力学

2008 Vol. 29, No. 12

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A New Method for Computing Laminar-Tubulent Trasition and Turbulence in Compressible Boundary Layers—PSE+DNS

DONG Ming, ZHANG Yong-ming, ZHOU Heng

2008, 29(12): 1387-1394.

Abstract(3322) PDF(658)

Abstract:
A new method for computing the laminar-turbulent transition and turbulence in compressible boundary layers was proposed.It is especially useful for the computation of laminar-turbulent transition and turbulence starting from small-amplitude disturbances.The laminar stage,up to the beginning of the b...

Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method

HU Yang-fan, WANG Biao

2008, 29(12): 1395-1410.

Abstract(3006) PDF(641)

Abstract:
Using the polarization method,the scattering problem for a two dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated.To achieve the purpose,the polarization method for two-dimensional piezoelectric/piezomagnetic "comparison body" was formulated for the first...

Limit Analysis of Viscoplastic Thick-Walled Cylinder and Spherical Shell Under Internal Pressure Using a Strain Gradient Plasticity Theory

LI Mao-lin, FU Ming-fu

2008, 29(12): 1411-1416.

Abstract(2885) PDF(669)

Abstract:
Plastic limit load of viscoplastic thick-walled cylinder and spherical shell subjected to internal pressure is investigated analytically using a strain gradient plasticity theory.As a result,the current solutions can capture the size effect at the micron scale.Numerical results show that the smaller...

Synchronization Motions of a Two-Link Mechanism With an Improved OPCL Method

HAN Qing-kai, ZHAO Xue-yan, WEN Bang-chun

2008, 29(12): 1417-1425.

Abstract(3036) PDF(722)

Abstract:
An improved OPCL method was developed and applied to both the small swing and the giant rotation synchronization of a two-link mechanism.Transition processes of the two kinds of synchronization were also discussed.Comparisons of different motion characteristics of the two-link synchronizations and t...

On the Critical Velocity of the Sandwich Cylindrical Shell to Moving Internal Pressure

ZHOU Jia-xi, DENG Zi-chen, HOU Xiu-hui

2008, 29(12): 1426-1434.

Abstract(3281) PDF(703)

Abstract:
The critical velocity of the infinite long sandwich shell to moving internal pressure is studied using sandwich shell theory and elastodynamics theory.Firstly the propagation of axisymmetric free harmonic waves in the sandwich shell was studied using sandwich shell theory considering the compressibi...

Mixed Time Discontinuous Space-Time Finite Element Method for Convection Diffusion Equations

LIU Yang, LI Hong, HE Siriguleng

2008, 29(12): 1435-1442.

Abstract(3222) PDF(540)

Abstract:
A mixed time discontinuous space-time finite element scheme for second order convection diffusion problems is constructed and analyzed.The order of the equation was lowered by mixed finite element method. And the low order equation was discretized by space-time finite element method,continuous in sp...

A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core

XIANG Yu, HUANG Yu-ying, LU Jing, YUAN Li-yun, ZOU Shi-zhi

2008, 29(12): 1443-1456.

Abstract(2977) PDF(724)

Abstract:
Based on the linear theories of thin cylindrical shells and viscoelastic materials,the governing equation describing vibration of a sandwich circular cylindrical shell with a viscoelastic core under harmonic excitation,which can be written in a matrix differential equation of first order,was derived...

Elastic and Viscoelastic Solutions for Rotating Functionally Graded Hollow and Solid Cylinders

A. M. Zenkour, K. A. Elsibai, D. S. Mashat

2008, 29(12): 1457-1471.

Abstract(3233) PDF(572)

Abstract:
Analytical solutions for rotating functionally graded hollow and solid long cylinders are developed. Young's modulus and material density of the cylinder are assumed to vary exponentially through the radial direction and Poisson's ratio was assumed to be constant.A unified governing equation was der...

A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer

AI Zhi-yong, WANG Quan-sheng

2008, 29(12): 1472-1478.

Abstract(3016) PDF(677)

Abstract:
A new analytical method is presented to study the axis-symmetric Biot's consolidation of a finite soil layer.Starting from the governing equations of axis-symmetric Biot's consolidation,and based on the property of the Laplace transform,the relationship of basic variables for a point of a finite soi...

Consideration of Transient Heat Conduction in a Semi-Infinite Medium Using Homotopy Analysis Method

A. Rezania, A. Ghorbali, G. Domairry, H. Bararnia

2008, 29(12): 1479-1485.

Abstract(2869) PDF(562)

Abstract:
Transient heat conduction in a semi-infinite medium was considered for its many applications in various heat fields.Here,homotopy analysis method(HAM) was applied to solve this problem and analytical results were compared with those of exact and integral methods results.The results show that HAM can...

Optimal Distribution of Reliability for Large Network Based on Connectivity

CHEN Ling-li, YU Jie

2008, 29(12): 1486-1494.

Abstract(2888) PDF(533)

Abstract:
It is a non-polynomial complexity problem to calculate the connectivity of the complex network. When the reliability of the system can not be expressed as the function of the element reliability,some heuristic methods were applied to do the optimization based on connectivity of the network.The calcu...

An Analytic Solution to the Unsymmetrical Bending Problem of Diaphragm Coupling

ZHU Ke-ke, ZHU Ru-peng

2008, 29(12): 1495-1501.

Abstract(2681) PDF(603)

Abstract:
As the rigidity of either the hub or rim of the diaphragm coupling is much larger than that of the disk,and the unsymmetrical bending is under the condition of high speed revolution,a hypothesis was supposed that each circle in the middle plane before deformation remains its radius unchangeable afte...

Sensitivity Analysis Method of Soil Parameters Based on Interval

SU Jing-bo, SHAO Guo-jian, CHU Wei-jiang

2008, 29(12): 1502-1512.

Abstract(2946) PDF(675)

Abstract:
Interval analysis method is a new uncertainty analysis method for engineering structures.A new sensitivity analysis method of engineering parameters was gained by introducing interval analysis method.And this will widen the application domain of interval analysis method.The interval analysis process...