顾元宪
结构与多学科分析与优化、有限元及其建模方法、计算生物力学、计算工程软件系统
个性化签名
- 姓名:顾元宪
- 目前身份:
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学术头衔:
博士生导师
- 职称:-
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学科领域:
水文学
- 研究兴趣:结构与多学科分析与优化、有限元及其建模方法、计算生物力学、计算工程软件系统
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776
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成果数
11
顾元宪
,-0001,():
-1年11月30日
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引用
【期刊论文】Nonlinear Transient Heat Conduction Analysis with Precise Time Integration Method*
顾元宪, Biaosong Chen, Yuanxian Gu, Hongwu Zhang, Zhenqun Guan
Numerical Heat Transfer, Part B, 40 (4): 325-341, 2001,-0001,():
-1年11月30日
Nonlinear transient heat transfer is a common and important phenomenon in practical engineering and attracts many research attentions during past years. In this paper, Precis Time Integration (PTI) is proposed for the numerical analysis of nonlinear heat conduction. Precise Time Integration method is a very special scheme possessing unconditionally stable and very high precision for linear transient system. When it is extended to nonlinear system, the method is still stable, and unlike the conventional methods, independent to the numerical precision. So it is easy to construct a computational algorithm has both stability and high precision. In the paper, the Precise Time Integration method is introduced firstly, and then, its extension to transient heat conduction problem is presented. The symmetry of matrix exponential of PTI in heat conduction is proved and used in sub-domain integration to reduce computational expense in great deal. As for nonlinear heat conduction, the Predictor-Corrector algorithm is employed to solve the nonlinear equations. Numerical examples validate the method. It is concluded that Precis Time Integration method is an accurate and stable numerical scheme for the linear and nonlinear transient heat conduction problems.
Nonlinear transient heat conduction,, Time integration,, Finite element
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【期刊论文】Precise Time-Integration Method with Dimensional Expanding For Structural Dynamic Equations*
顾元宪, Yuanxian Gu, Biaosong Chen, Hongwu Zhang, Zhenqun Guan
AIAA J, 39 (12): 2394-2399, 2001,-0001,():
-1年11月30日
The precise time integration method proposed for linear time-invariant dynamic system can give precise numerical results approaching the exact solution at the integration points. However, difficulties arise when the algorithm is used for the non-homogenous dynamic systems due to the inverse matrix calculation required. In this paper, a new algorithm is proposed to convert non-homogenous dynamic equations into homogenous ones by means of the dimensional expanding method. With this conversion, the inverse matrix calculation is not required in the precise time integration method. The new algorithm has enhanced the precise time integration method by benefiting the programming implementation and the numerical stability; it has improved the computational efficiency as well. Numerical examples are given to demonstrate the validity and efficiency of the algorithm.
Structural dynamics,, time integration,, non-homogeneous equations,, transient responses
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95浏览
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顾元宪, Biaosong Chen and Liyong Tong, Yuanxian Gu and Hongwu Zhang, Ozden Ochoa
Numerical Heat Transfer, Part B, 45: 181-200, 2004,-0001,():
-1年11月30日
In this article, the precise time integration (PTI) method in conjunction with the finiteelement method is applied to conduct the heat transfer analysis of functionally graded materials. Two techniques are introduced to improve the computational efficiency and accuracy. The first one is an adaptive algorithm of PTI, which can determine the algorithm parameters according to the problem characteristics and the prescribed computational error tolerance. The second one is the isoparametric graded finite-elements method, which can be compatible with the problem of spatially varying material properties. Numerical examples are presented to demonstrate the advantages of the present method.
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顾元宪, YUANXIAN GU and HAIMEI LI, CHANGYU SHEN
Advances in Polymer Technology, Vol. 20, No.1, 14-21 (2001),-0001,():
-1年11月30日
Thermally induced stress and the relevant warpage caused by inappropriate mold design and processing conditions are problems that confound the overall success of injection molding. The numerical simulation with the finite element method is studied in this article to predict thermally induced warpage and residual stress of injection-molded parts generated during the cooling stage of the injection-molding cycle. A thermorheologically simple two-dimensional thermoviscoelastic material model is used in the numerical computing. The initial temperature field of the analysis corresponds to the end of the filling stage. The fully time-dependent algorithm is based on the calculation of the elastic response at every time step. Numerical results are discussed with respect to temperature and pressure, and compared with the experiment results in Santhanam and Wang.14
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【期刊论文】Buckling design optimization of complex built-up structures with shape and size variables
顾元宪, Y.X. Gu, G.Z. Zhao, H.W. Zhang, Z. Kang, and R.V. Grandhi
Struct Multidisc Optim 19, 183-191,-0001,():
-1年11月30日
The design optimization of buckling behaviour is studied for complex built-up structures composed of various kinds of elements and implemented within JIFEX95, a general-purpose software for finite element analysis and design optimization. The direct and adjoint methods of sensitivity analysis for critical buckling loads are presented with detailed computational procedures. Particularly, the variations of prebuckling stresses and external loads have been accounted for. The design model and solution methods presented in this paper are available for both shape and size optimization, and buckling optimization can also be combined with static, frequency and dynamic response optimization. The numerical examples show the applications ofthe buckling optimizationmethod and the effectiveness of the methods and the program of this paper.
Shape optimization,, size optimization,, buckling,, natural frequency,, dynamic response,, built-up structures
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58浏览
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【期刊论文】DESIGN OPTIMIZATION FOR STRUCTURAL THERMAL BUCKLING
顾元宪, Biaosong Chen, Yuanxian Gu, Guozhong Zhao, and Wei Lin, Tse-Yung Paul Chang and Jun S. Kuang
Journal of Thermal Stresses, 26: 479-494, 2003,-0001,():
-1年11月30日
In this article, the numerical method of design optimization for structural thermal buckling is investigated. The analysis of heat conduction and structural stress and buckling are considered at the same time in the design optimization procedure. Based on the finite element method, the research takes the heat conduction and the structural buckling analysis into account. The unified finite element model is applied for both the thermal analysis and structural analysis. The coupling sensitivity effects of heat conduction on the structural thermal buckling are studied. The direct method and the adjoint method are employed to derive the sensitivity equations of the thermal buckling. The adjoint method for thermal buckling sensitivity analysis is proposed first here, and the coupling effects of the problem are particularly addressed. In the sensitivity analysis, the semianalytical method, which is adaptive for various elements and many kinds of design variables, is employed. Based on the results of the coupling sensitivity analysis, the optimization model is constructed and solved by the sequential linear programming or sequential quadratic programming algorithm. Numerical examples show that the coupling sensitivity effects are very important and should not be neglected in the computational process.
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【期刊论文】Fast Volume Rendering and Cutting for Finite Element Model
顾元宪, Xiaosong Yang, Yuanxian Gu, Yunpeng Li & Zhenqun Guan
Computer-Aided Civil and Infrastructure Engineering 18(2003)121-131,-0001,():
-1年11月30日
Based on the incremental slicing, a direct volume rendering algorithm for finite element meshes is proposed. To improve the algorithm efficiency, the element compensation method and sliced polygon forming method are presented. The image quality is improved greatly by the hybrid rendering of both the volume data and geometric surfaces. We also integrate a volume cutting method with arbitrary convex polyhedron into the volume rendering pipeline. This offers the user more flexibility to explore the data distribution inside structures.
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76浏览
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【期刊论文】NEW DEVELOPMENT OF NUMERICAL METHODS FOR CONTACT ANALYSIS WITH JIFEX SOFTWARE
顾元宪, YUAN-XIAN GU*, HONG-WU ZHANG AND WAN-XIE ZHONG
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng. 46, 1721-1740 (1999),-0001,():
-1年11月30日
The finite element software JIFEX is developed with the application oriented concept for complex structures of general purpose engineering. The software integration of the finite element analysis, structural design optimization, pre-and post-processing developed with advanced platform Windows 95/NT is implemented. Among its versatile facilities of analysis and optimization, the 3-D contact analysis is one of the most important features. In this paper, a combined Parametric Quadratic Programming (PQP) and iteration method is presented to avoid the di$culties of unknown slip direction of the tangential displacement at contact point and exhausting computing time. The numerical algorithm of 3-D contact analysis and application examples are presented with brief introduction of the application-oriented software JIFEX.
3-D frictional contact analysis, parametric quadratic programming method, iteration method
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