夏人伟
工程优化理论及其数值方法、数学规划法、结构近似分析与敏度分析、仿生与智能设计方法和多学科优化等
个性化签名
- 姓名:夏人伟
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学术头衔:
博士生导师
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学科领域:
林业工程
- 研究兴趣:工程优化理论及其数值方法、数学规划法、结构近似分析与敏度分析、仿生与智能设计方法和多学科优化等
夏人伟教授长期从事飞行器设计优化与自动化理论和方法,以及新型智能结构等的研究与教学工作。在工程优化理论及其数值方法、数学规划法、结构近似分析与敏度分析、仿生与智能设计方法和多学科优化等多种领域开展了广泛和深入的研究。对于大型复杂工程优化问题,他所创建的“复杂结构优化理论与算法”体系,即包络对偶法, 获2001年国家教育部自然科学一等奖。该方法较国内外现行众多优化方法,具有广泛的通用性和高的计算效率等显著优点,特别适用于处理具有大量?O计变量、大量约束条件、且函数为复杂非线性和隐式的优化问题,为实现飞行器、船舶、建筑和桥梁结构等的设计优化,提供了坚实的理论基础和有效的工具。该方法体系及相应的计算软件,已在我国多种卫星和飞机结构设计中应用,取得了提高设计品质、减轻飞行器重量、缩短设计工作周期的明显效果。他在自适应(智能)结构的理论与技术研究,以及结构振动抑制、形状控制、在轨系统识别和损伤检测理论与方法等方面的研究和成果,对大型航天器设计具有重要意义;在国内外重要学术刊物发表论文八十余篇、著作三部,受到广泛关注和应用。开设并讲授多门研究生、本科生课程,指导和培养硕士、博士研究生三十余名。
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夏人伟, 刘鹏
力学学报,1987,19(3):246~257,-0001,():
-1年11月30日
基于非线性规划的对偶理论和函数的二阶台劳展得开、得到了一种有效的结构优化设计方法。它具有能用性、可自动判别临界约束集合、计算效率高和适用于大型结构系统等优点。基于虚功原理,导出了性状参数的一阶和二阶导数计算式。利用圣维原理,使性状参数二阶导数及相应的Hessian矩阵计算式大为简化。典型号算例的计算结果表明本方法是相当有效的。
结构优化,, 数学规划,, 对偶理论
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夏人伟, 刘鹏
航空学报,1987,8(9):524~528,-0001,():
-1年11月30日
By using approximation concepts, the objective function and constraint functions have been approximated by second and frist order Taylor series expanisons, respectively. A sequence of quadratic programming problems is thus obtained and than solved by quasi-analytical method based on the theory of nonlinear programming. Several typical problems have been teated. The results have shown satisfactory convergence and computational efficeieny.
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夏人伟
航空学报,2000,21(6):488~491,-0001,():
-1年11月30日
回顾与分析了工程数值优化方法研究的发展历程,着重介绍与讨论了优化问题的几种数学列式、近似问题的保真度与近似函数,以及复杂优化问题的求解策略等。指出优化问题的对偶列式变式DFO P2V 2与高精度多点近似函数和二级近似概念结合而产生的数值优化解法,具有通用性,高的计算效率,并易于与市场现有分析软件结合使用等显著优点。
优化理论, 数学规划, 近似概念
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【期刊论文】Two-level multipoint constraint approximation concept for structural optimization.
夏人伟, H. Huang and R.W. Xia
,-0001,():
-1年11月30日
A two-level multipoint approximation concept is proposed. Based upon the values and the first-order derivatives of the critical constraint functions at the points obtained in the procedure of optimization, explicit functions approximating the primal constraint functions have been created. The nonlinearities of the approximate functions are controlled to be near those of the constraint functions in their expansion domains. Based on the principle above, the first-level sequence of explicitly approximate problems used to solve the primarily structural optimization problem are constructed. Each of them is approximated again by the second-level sequence of approximate problems, which are formed by using the linear Taylor series expansion and then solved efficiently with dual theory. Typical numerical examples including optimum design for trusses and frames are solved to illustrate the power of the present method. The computational results show that the method is very efficient and no intermediate/generalized design variable is required to be selected. It testifies to the adaptability and generality of the method for complex problems.
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【期刊论文】TWO-LEVEL APPROXIMATION CONCEPT IN STRUCTURAL SYNTHESIS
夏人伟, M. ZHOU * AND R. W. XIA
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, VOL. 29, 1681-1699 (1990),-0001,():
-1年11月30日
A new concept for complex structural optimization problem is presented. Based on investigation of the mechanical nature of the studied problem, a set of basic medchanical characteristies can be introduced as the generalized variables. A high-quality explicit first-level approximate problem FA is formed by first-order Taylor series expansion of the behaviour constraints in terms of the generalized variables. The FA is explicit but highly non-linear with respect ot deign variables. Thererfore, a second-leel approximation is introduced to solve the FA by considering a sequence of second-level approximate problem SA in the design variable space. This approac is a Two-Level Approximation Concept. Its appliation to space frame synthesis shows tis grasp of the mechanical natrue of the problem. The computational results for several examples show that the method presented in this paper is very efficeien.
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【期刊论文】STRUCTURAL OPTIMIZATION BASED ON SECOND-ORDER APPROXIMATIONS OF FUNCTIONS AND DUAL THEORY*
夏人伟, Xia RENWEI and Liu PENG
COMPUTER METHODS IN APPLIED METHCANICS AND ENGINEERING 65(1987)101-141,-0001,():
-1年11月30日
Based on the dual theory of nonlinearly mathematical programming and the secnond-order Taylorseries expansions of functions, and efficient algorithm for structural optimum design has been developed. The main advantages os this method are the generality in use, the efficiency in computation, and the capability in identifying automatically the set of critical constraits. On the basis of the virtual work principle, formuals expressed through element stresses for the first- and second-order derivatives of nodal displacement and stress with repect to design variables are derived. By introducing Saint-Venant's principle, the compuaatinal effort involved in the hessian matrix associated with the iterative expression can be sinnificantly reduced. This method is especially suitable for optimum design of large-scale structures. Several typical examples have been optimized to test its power.
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夏人伟, H. Huang *, W. Ket and R.W. Xia*
,-0001,():
-1年11月30日
A multi-point approximation concept for structural synthesis is further investigated. The accuracy of the approximation is discussed though comparing their numerical errors with that of other approximations which include Taylor expansions and some two-point approximations. The test functions used here contain explicit functions and structural responses. The numerical computational results show that the multi-point approximation is generally superior to other approximations. Two structural optimization examples are given to express the practical effectiveness of the multi-point approximation. Both are solved with the Engineering System of Structural Optimization for Spacecraft (ESSOS), which is based on two-level multi-point structural optimization method. The examples are on an engineering scale, and for the latter, multiple states are considered concurrently. The iteration histories of the examples show the convergence is stable and rapidly, which further illustrates the multi-point approximation and the related optimization method is especially suitable for practical structural synthesis problems.
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【期刊论文】AN EFFICIENT METHOD OF TRUSS DESIGN FOR OPTIMUM GEOMETRY
夏人伟, MING ZHOU AND RENWEI XIA
commputruc A Struent Vol. 35, No.2. pp. 115-119, 1990,-0001,():
-1年11月30日
In this paper a method is presented for the configurational optimization of a truss subject to displacement, stress and buckling constraints under multiple load conditions. The method generates a sequence of approximate convex problems which are solve by a dual method of convex programming. Computational results for two examples show that the method presented in this paper is very efficient.
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【期刊论文】A UNIFIED OPTIMALITY CRITERIA METHOD IN STRUCTURAL DESIGN
夏人伟, XIA RENWEI
Eng. Opt., 1984, Vol. 8. pp. 1-13,-0001,():
-1年11月30日
On the basis of the Kuhn-Tucker condition, two iterative expressions for determining optimal values for design variables and Lagrangian multipliers are dervied. The convergence of this method has been proved mathemtically to of order two. This method can be used to solve problems with various kind of behavioral constraints as long as the second order Taylor series expansions of functions involved in the problems can be generated. and therefore it has general significance. Based on the virtual word principle. formulas for computing the first and second order derivatives of nodal displacements and stresses with respect to design variables are given. The computational effort involved in the Hessian matrix associated with the iterative experession can be significantlty reduced by using Saint-Venant's principle, and the efficiency of the optimization procedures can be further improved. Computational results for several typical examples show that the method presend in this paper perfoms satisfactorily in comparison with other competing techniques.
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【期刊论文】A QUASI-ANALYTIC METHOD FOR STRUCTURAL OPTIMIZATION
夏人伟, XIA RENWEI * AND CHEN SHAOJUN
Commun. Numer. Meth. Engng, 14, 569-580 (1998),-0001,():
-1年11月30日
In the present paper, a quasi-analytic method for solving structural optimization problems has been developed by co-ordinated use of mathematical transformations, high-quality approximation and a two-level approximation strategy. The method which has the advantages of both generality in applications and high efficiency in computations is especially of benefit to large practical design problems. Several typical examples of different sorts have been optimized to test its power.
structural optimization, approximation concepts, envelope function
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