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  • 1995-1999  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Intervening variables and constraint approximations in safety index and failure probability calculations (1995)
    Springer
    Structural and multidisciplinary optimization 10 (1995), S. 2-8 
    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 emphasis of this paper is on developing suitable intervening variables and constraint approximations for structural reliability analysis. Traditionally, these procedures are used in structural optimization, whereas this research work adopts these concepts to safety index and failure probability computations. The use of these concepts enables the development of an efficient and stable iteration algorithm for identifying the most probable failure points (MPPs) of the limit state functions. An approximate second-order failure probability is calculated at this MPP with no extra computations of the limit state function and gradients. The efficiency and accuracy of the proposed algorithm are demonstrated by several examples with highly nonlinear, complex, explicit/implicit performance functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743688
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Multipoint approximations: comparisons using structural size, configuration and shape design (1996)
    Springer
    Structural and multidisciplinary optimization 12 (1996), S. 177-185 
    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 objective of this paper is to demonstrate the effectiveness of recently developed multipoint function approximations in the context of structural size, configuration and shape optimization. The developments include approximations built using just two points and also more than two-point information of optimization iterations. Intervening variables are used to control the nonlinearity of the approximations. Several structural optimization problems with stress, displacement and buckling constraints are used to demonstrate the validity and accuracy of the multipoint approximations. These examples include the size optimization of a 40 member frame, the configuration design of a 25-bar space truss and the shape design of a torque arm and a plate with a hole.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01196954
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    MULTIVARIATE HERMITE APPROXIMATION FOR DESIGN OPTIMIZATION (1996)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 787-803 
    Details
    ISSN: 0029-5981
    Keywords: multi-point approximations ; multivariate Hermite ; optimization ; design ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An approximation based on multiple function and gradient information is developed using Hermite interpolation concepts. The goal is to build a high-quality approximation for complex and multidisciplinary design optimization problems employing analysis such as aeroservoelasticity, structural control, probability, etc. The proposed multidimensional approximation utilizes exact analyses data generated during the course of iterative optimization. The approximation possesses the property of reproducing the function and gradient information of known data points. The accuracy of the new approach is compared with linear, reciprocal and other standard approximations. Because the proposed algorithm uses more data points, its efficiency has to be compared in the context of iterative optimization.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 4
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    Sensitivity analysis based preform die shape design using the finite element method (1997)
    Springer
    Details
    Publication Date: 1997-06-01
    Print ISSN: 1059-9495
    Electronic ISSN: 1544-1024
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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