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  • 1
    Electronic Resource
    Electronic Resource
    Bell-curve based evolutionary optimization algorithm (1999)
    Springer
    Structural optimization 18 (1999), S. 264-276 
    Details
    ISSN: 0934-4373
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The paper presents an optimization algorithm that falls in the category of genetic, or evolutionary algorithms. While the bit exchange is the basis of most of the Genetic Algorithms (GA) in research and applications in America, some alternatives, also in the category of evolutionary algorithms, but using a direct, geometrical approach have gained popularity in Europe and Asia. The Bell-Curve Based Evolutionary Algorithm (BCB) is in this alternative category and is distinguished by the use of a combination of n-dimensional geometry and the normal distribution, the bell-curve, in the generation of the offspring. The tool for creating a child is a geometrical construct comprising a line connecting two parents and a weighted point on that line. The point that defines the child deviates from the weighted point in two directions: parallel and orthogonal to the connecting line, the deviation in each direction obeying a probabilistic distribution. Tests showed satisfactory performance of BCB. The principal advantage of BCG is its controllability via the normal distribution parameters and the geometrical construct variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01223310
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Multidisciplinary aerospace design optimization: survey of recent developments (1997)
    Springer
    Structural and multidisciplinary optimization 14 (1997), S. 1-23 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The increasing complexity of engineering systems has sparked rising interest in multidisciplinary optimization (MDO). This paper surveys recent publications in the field of aerospace, in which the interest in MDO has been particularly intense. The primary c hallenges in MDO are computational expense and organizational complexity. Accordingly, this survey focuses on various methods used by different researchers to address these challenges. The survey is organized by a breakdown of MDO into its conceptual components, reflected in sections on mathematical modelling, approximation concepts, optimization procedures, system sensitivity, and human interface. Because the authors' primary area of expertise is in the structures discipline, the majority of the references focus on the interaction of this discipline with others. In particular, two sections at the end of this review focus on two interactions that have recently been pursued with vigour: the simultaneous optimization of structures and aerodynamics and the simultaneous optimization of structures with active control.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01197554
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A technique for locating function roots and for satisfying equality constraints in optimization (1992)
    Springer
    Structural and multidisciplinary optimization 4 (1992), S. 241-243 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A new technique for locating simultaneous roots of a set of functions is described. The technique is based on the property of the Kreisselmeier-Steinhauser function which descends to a minimum at each root location. It is shown that the ensuing algorithm may be merged into any nonlinear programming method for solving optimization problems with equality constraints.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742751
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    New optimality criteria methods: Forcing uniqueness of the adjoint strains by corner-rounding at constraint intersections (1992)
    Springer
    Structural and multidisciplinary optimization 4 (1992), S. 244-246 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In new, iterative continuum-based optimality criteria (COC) methods, the strain in the adjoint structure becomes non-unique if the number of active local constraints is greater than the number of design variables for an element. This brief note discusses the use of smooth envelope functions (SEF's) in overcoming economically computational problems caused by the above non-uniqueness.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742752
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Bell-curve based evolutionary optimization algorithm (1999)
    Springer
    Structural and multidisciplinary optimization 18 (1999), S. 264-276 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The paper presents an optimization algorithm that falls in the category of genetic, or evolutionary algorithms. While the bit exchange is the basis of most of the Genetic Algorithms (GA) in research and applications in America, some alternatives, also in the category of evolutionary algorithms, but using a direct, geometrical approach have gained popularity in Europe and Asia. The Bell-Curve Based Evolutionary Algorithm (BCB) is in this alternative category and is distinguished by the use of a combination ofn-dimensional geometry and the normal distribution, the bell-curve, in the generation of the offspring. The tool for creating a child is a geometrical construct comprising a line connecting two parents and a weighted point on that line. The point that defines the child deviates from the weighted point in two directions: parallel and orthogonal to the connecting line, the deviation in each direction obeying a probabilistic distribution. Tests showed satisfactory performance of BCB. The principal advantage of BCB is its controllability via the normal distribution parameters and the geometrical construct variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01223310
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    An algorithm for solving the system-level problem in multilevel optimization (1995)
    Springer
    Structural and multidisciplinary optimization 9 (1995), S. 168-177 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A multilevel optimization approach applicable to nonhierarchic coupled systems is presented. The approach includes a general treatment of design (or behaviour) constraints and coupling constraints at the discipline level through the use of norms. Three different types of norms are examined - the max norm, the Kreisselmeier-Steinhauser (KS) norm, and theℓ p norm. The max norm is recommended. The approach is demonstrated on a class of hub frame structures that simulate multidisciplinary systems. The max norm is shown to produce system-level constraint functions which are nonsmooth. A cutting-plane algorithm is presented, which adequately deals with the resulting corners in the constraint functions. The algorithm is tested on hub frames with an increasing number of members (which simulate disciplines), and the results are summarized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743966
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Two alternative ways for solving the coordination problem in multilevel optimization (1993)
    Springer
    Structural and multidisciplinary optimization 6 (1993), S. 205-215 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The paper describes two new techniques for formulating the coupling between levels in multilevel optimization by linear decomposition, proposed as improvements over the original formulation, now several years old, that relied on explicit equality constraints which were shown by application experience as occasionally causing numerical difficulties. The two new techniques account for the coupling without using explicit equality constraints, thus avoiding the above difficulties and also reducing the computational cost of the procedure. The old and new formulations are presented in detail, illustrated by an example of a structural optimization. A generic version of the improved algorithm is also developed for applications to multidisciplinary systems not limited to structures. The symbolsU andL withX, Y, Z, e.g.XU, XL, denote upper and lower bounds on these variables; other symbols are defined where first used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743377
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  • 8
    Electronic Resource
    Electronic Resource
    On options for interdisciplinary analysis and design optimization (1992)
    Springer
    Structural and multidisciplinary optimization 4 (1992), S. 65-74 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The interdisciplinary optimization of engineering systems is discussed from the standpoint of the computational alternatives available to the designer. The analysis of such systems typically requires the solution of coupled systems of nonlinear algebraic equations. The solution procedure is necessarily iterative in nature. It is shown that the system can be solved by fixed point iteration, by Newton's method, or by a combination of the two. However, the need for sensitivity analysis may affect the choice of analysis solution method. Similarly, the optimization of the system can be formulated in several ways that are discussed in the paper. It is shown that the effect of the topology of the interaction between disciplines is a key factor in the choice of analysis, sensitivity and optimization methods. Several examples are presented to illustrate the discussion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01759919
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    Paper (German National Licenses)
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  • 9
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    Initial experience with distributing structural calculations among computers operating in parallel (1984)
    In:  CASI
    Details
    Publication Date: 2005-03-28
    Description: An existing program is currently being adapted to perform finite element analysis by distributing substructures over a network of four Apple IIe microcomputers connected to a shared disk. In this network, one microcomputer controls the entire process while the others perform the analysis on each substructure in parallel. This substructure analysis is used in an iterative, fully stressed, structural resizing procedure. This procedure allows experimentatation with resizing in which all analyses are not completed during a single iteration. This research gives some insight on how to configure multidiscriplinary analysis and optimization procedures for decomposable engineering systems using either high performance engineering workstations or a parallel processor supercomputer. In addition, the operational experience gained facilitates the implementation of analysis programs on these new computers when they become available in an engineering environment.
    Keywords: STRUCTURAL MECHANICS
    Type: Res. in Struct. and Dyn., 1984; p 45-54
    Format: text
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    NASA TECHNICAL REPORTS
  • 10
    facet.materialart.
    Unknown
    New optimality criteria methods - Forcing uniqueness of the adjoint strains by corner-rounding at constraint intersections (1992)
    In:  Other Sources
    Details
    Publication Date: 2011-08-24
    Description: In new, iterative continuum-based optimality criteria (COC) methods, the strain in the adjoint structure becomes non-unique if the number of active local constraints is greater than the number of design variables for an element. This brief note discusses the use of smooth envelope functions (SEFs) in overcoming economically computational problems caused by the above non-uniqueness.
    Keywords: STRUCTURAL MECHANICS
    Type: Structural Optimization (ISSN 0934-4373); 4; 3-4; p. 244-246.
    Format: text
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    NASA TECHNICAL REPORTS
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