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Patch Test and Finite Element Method

Tian Zhongxu
(Dalian University of technology, 116024)

Abstract: This paper realized that the Patch Test is very important to Finite Element Methods. Derive the requirement to strain and displacement of Patch Test. Give the relationship between weak form of continuity equation and the Patch Test, through which the hybrid element method and quasi-conform element method are analyzed. Refined direct stiffness method and generalized conforming elements are also analyzed about why they can pass patch test. At last, as an example of using the requirement of patch test for displacement, improved the BCIZ Element.

Key Words: patch test, weak form, string-net function, finite element method



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A Weak Form Discrete Operator Method of Solving Thin Plate Bending Problems

Tian Zhongxu, Tang Limin
(Dalian University of Technology)

Abstract: The weak form formula of thin plate bending problems is presented, which includes the boundary parameters. From this formula, both the solving forms and the method of dealing with boundary conditions can be got. The finite element method is only one of these forms. A discrete form is given, which proved to be with high accuracy even when the displacement lost continuity.
Key Words: weak form; boundary condition; discrete operator; finite element method


O ه rۣAW C늹ϵ V 510640


Research on application of Web-based computer-aided mechanical creative design system
SUN YanMing
LAI ChaoAn ZHENG ShiXong
(mechatronic engineering Department, south china university of technology, Guangzhou 510640)

Abstract: Two item of principle of creative design thinking were summarized in this paper: shortest route principle and similarity association principle. It analyzed the disadvantage of the current study on CBR and proposed applying GA in combination and optimize to resolve them, and introduced a kind of web-based creative design repository. It advanced a kind of measure method of similarity among function demandaction principium and substance structure using similarity degree as the bases on which computer-aided association can be realized and the original colony of GA can be selected reasonably, thus a kind of improved GA came into being. A web-based computer-aided creative design system has been developed based on above theory. 
Keywords: Mechanical design; Creative design; Creative thinking; Similarity




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AWCϵV| V 510641  

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Research on the Decision Support System for Modern Manufacturing Domain
Yu Guoyan1 Lai Chaoan2 Zheng Shixiong2 Sun Yanming2 
ZhanJiang ocean university, Guangdong ZhanJiang, 524025 China1
South China University of Technology, Guangdong Guangzhou, 510640, China2

Abstract: Based on the introduction of DSS development, the paper discusses the harmonizing mechanism, function, structure, arrangement and realizing way of DSS for modern manufacturing system according to the characteristic of modern manufacturing mode. At last, the development direction is prospected.
:DSS; Intelligent; knowledge acquisition



ע⣺ՓڡˮWоcMչ(Ser. A., 200217(1): 69-76)l

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2 ϺͨWWϵ Ϻ200030 3BWľϵB116023

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ЈD̖ TV131.4 īIRaA

Numerical simulation of dam-break flowsin bend and furcated channels 
  Wang Jia-song1 He You-sheng1 Ni Han-gen2(1.Shanghai Jiaotong University, Shanghai 200030; 2. Dalian University of Technology, Dalian 116023)   

Abstract  A high-resolution finite-volume method for solving the conservative shallow water equations is presented in this paper. The method is based upon extending the finite-difference TVD scheme to finite-volume method considering the corresponding relationships between elements and nodes. A second-order hybrid TVD scheme with an optimum-selected limiter and a two-step Runge-Kutta method are utilized to discretize the integral type of the shallow water equations over arbitrary quadrilateral cells. The dam-break flows are simulated for the first time considering the cases in channels with a 180strong bend, a 90bifurcation and a 45three branches. The complex characteristics of velocity and water elevation changes at both banks of the curved sections, auto-reassignment of discharges and momentum as well as vortices and super-elevation near the corner of embranchment regions in the furcated channels are displayed. The effects of wetting bed and drying bed are discussed simultaneously.  Key words shallow water equations, finite-volume method, bend channel, furcated channel, dam-break  Bores 



ע⣺ՓJournal of Hydrodynamics, Ser. B., 2000(1): 35-41l

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Wang Jia-song ()
School of Civil Engineering and Mechanics, Shanghai JiaoTong University, Shanghai 200030, P. R. China 
Ni Han-gen
School of Civil and Structure Engineering, Dalian University of Technology, Dalian 116024, P. R. China

ABSTRACT: A high-resolution finite volume numerical method for solving the shallow water equations is developed in this paper. In order to extend finite difference TVD scheme to finite volume method, a new geometry and topology of control bodies is defined considering the corresponding the relationships between nodes and elements. This solver is implemented on arbitrary quadrilateral meshes and their satellite elements, and based on a second-order hybrid type TVD scheme in space discretization and a two-step Runge-Kutta method in time discretization. Then it is used to deal with two typical dam-break problems and very satisfactory results are obtained comparing with other numerical solutions. It can be considered as an efficient implement for the computation of shallow water problems, especially concerning those having discontinuities, subcritical and supercritical flows and with complex geometries.
KEY WORDS: shallow water equations, finite volume, TVD scheme, dam-break bores


Finite-Difference TVD Scheme for Computation of Dam-Break Problems
ע⣺ՓJournal of Hydraulic Engineering, ASCE, 2000, 126(4), 253-262l

By J. S. Wang 1() , H. G. Ni 2 and Y. S. He 3

1 Post-Doctoral Fellow, School of Civ. Engrg. and Mech., Shanghai Jiao Tong Univ., Shanghai 200030, P.R.China.
2 Prof., Dept. of Civ. Engrg., Dalian Univ. of Tech., Dalian 116024, P.R.China.
3 Prof., School of Civ. Engrg. and Mech., Shanghai Jiao Tong Univ., Shanghai 200030, P.R.China.

ABSTRACT: A second-order hybrid type of total variation diminishing (TVD) finite-difference scheme is investigated for solving dam-break problems. The scheme is based upon the first-order upwind scheme and the second-order Lax-Wendroff scheme, together with the one-parameter limiter or two-parameter limiter. A comparative study of the scheme with different limiters applied to the Saint Venant equations for 1D dam-break waves in wet bed and dry bed cases shows some differences in numerical performance. An optimum-selected limiter is obtained. The present scheme is extended to 2D shallow water equations by using an operator-splitting technique, which is validated by comparing the present results with the published results, and good agreement is achieved in the case of a partial dam-break simulation. Predictions of complex dam-break bores, including the reflection and interactions for 1D problems and the diffraction with a rectangular cylinder barrier for a 2D problem, are further implemented. The effects of bed slope, bottom friction, and depth ratio of tailwater/reservoir are discussed simultaneously.
Key words: Saint Venant equations, shallow water equations, TVD, finite-difference, dam-break waves, reflection, diffraction, one-parameter limiter, two-parameter limiter



ע⣺ՓϺͨWW2002, 36(3)416-419 l

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ЈD̖O313.7 īIRaA

the Analysis and Solution for Inverse Dynamic Problems of Flexible Arms 

Tian Zhongxu1 Liu Zhengxing2 Lu Youfang3
1Center of CIMS & robotics, Shanghai University, 200072; 2Department of Engineering mechanics, Shanghai Jiaotong University, 2000303Institute of Science, Jilin University 130025

AbstracetThe paper concentrates on the analysis and solution for inverse problems of flexible arms. The secant coordinate system is introduced to describe the location of the two-link arm. The fast (vibration) part and the slow part are analyzed for the inverse problems. The solutions for the fast part are found emanative through the analysis. So, the solution for the flexible arms should be carried out while only the slow part is included. A sample method is given to get rid of the fast part and get the solutions for the inverse problems. Numerical results show that this method is correct.
Key wordsflexible armdynamicinverse dynamicvibrationmovement with large range



ע⣺ՓrʯWčW 2002,21(3)305-309l


1  BWWϵ  B 116024

2  IbYc B 116024

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Interval back analysis for the initial stresses and elastic modulus of the surrounding rock of tunnels

WANG Denggang1,2, LIU Yingxi1,2, LI Shouju1,2  and GANG Xianyue1,2

 (1  Dept. of Eng. Mechanics., Dalian Univ. of Technol. Dalian, 116024, China)

(2    State Key Lab. of Struct. Anal. of Ind. Equip., Dalian, 116024, China)

Abstract  The differentiability of the initial stresses and elastic constants of the surrounding rock of tunnels was discussed firstly from the view of finite element method. An interval back analysis model was put forward to identify these parameters based on the measured data of deformation and disturbed stress in the surrounding rock. The uncertain property of the measured data was considered and the interval analysis method to solve the uncertain problems was induced in the present model. The interval of the initial stresses and elastic modulus can be obtained by using the constrained variable metric method to solve the present model.

Key words  interval analysis, constrained variable metric method, initial stress field, elastic modulus 



ע⣺ՓW 2001,18(3)61-66l


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1.BWWϵ| B1160232.IbYc|B116023

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ЈD̖O39 īIRaA

A Hybrid Approach for Nonlinear Optimization

WANG Denggang1,2 ,  LIU Yingxi1,2 ,  LI-Shouju1,2

(1. Dalian University of Technology, Dalian, 116023     2.State Key Lab. of Struct. Anal. of Ind. Equip., Dalian, 116023) 

AbstractCombined BFGS method with chaos optimization method, a hybrid approach was proposed to solve nonlinear optimization problems with boundary restraints of variables. The hybrid method is an effective approach to solve nonconvex optimization problems, as it given both attentions to the inherent virtue to locate global optimum of chaos optimization method and the advantage of high convergence speed of BFGS method. Numerical examples illustrate that the present method possesses both good capability to search global optima and far higher convergence speed than that of chaos optimization method.
key words
hybrid approachBFGS methodchaos optimization methodglobal optimum

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