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  • 1
    Electronic Resource
    Electronic Resource
    Some unexpected properties of exact least-weight plane truss layouts with displacement constraints for several alternate loads (1994)
    Springer
    Structural and multidisciplinary optimization 7 (1994), S. 76-86 
    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 Basic geometrical properties of optimal plane truss layouts for multiple displacement constraints and several load conditions are derived. These include the feature that at any point, optimal bars may run in at most two directions and that even for two nonsymmetric alternative loads at the same point the optimal two-bar layout is always symmetrical for a vertical support. The above general findings are illustrated with examples, in which the results are derived by several independent methods, including a proof of global optimality of the layout.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742509
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Minimum cost design of reinforced concrete beams using continuum-type optimality criteria (1994)
    Springer
    Structural and multidisciplinary optimization 7 (1994), S. 91-102 
    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 This paper outlines a general procedure for obtaining, on the basis of continuum-type optimality criteria (COC), economic designs for reinforced concrete beams under various design constraints. The costs to be minimized include those of concrete, reinforcing steel and formwork. The constraints consist of limits on the maximum deflection, and on the bending and shear strengths. However, the formulation can easily cater for other types of constraints such as those on axial strength. Conditions of cost minimality are derived using calculus of variation on an augmented Lagrangian. An iterative procedure based on optimality criteria is applied to a test example involving a reinforced concrete propped cantilever beam whose cross-section varies continuously. Numerical examples are presented in which the design variables are both the width and the depth or the depth alone, and the optimal costs are compared. The solution of the test example with depth alone as the design variable is confirmed by an alternative approach using discretized continuum-type optimality criteria (DCOC).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742512
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    Paper (German National Licenses)
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  • 3
    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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  • 4
    Electronic Resource
    Electronic Resource
    Alternative formulations of structural optimization (1994)
    Springer
    Structural and multidisciplinary optimization 7 (1994), S. 32-41 
    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 Several alternative, but equivalent, formulations of structural optimization problems are critically reviewed and compared. The various formulations differ in the independent variables chosen, the analysis equations employed, and the form of the resulting constraints. With regard to the method of analysis used, the displacement method, force method and mixed method of analysis are considered. The problem formulations discussed include (i) those in the Design Variable Space (DVS), (ii) Simultaneous Analysis and Design (SAND), and (iii) Optimality Criteria (OC). Some simplified formulations, approximate approaches and dual methods are also reviewed. Moreover, typical characteristics, advantages and drawbacks of various formulations are discussed and their effect on the solution process pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742501
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Optimal spherical cupola of uniform strenght: Allowance for selfweigth (1981)
    Springer
    Archive of applied mechanics 51 (1981), S. 159-181 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Die Arbeit behandelt den optimalen Entwurf einer sphärischen Kuppel von gegebenem Basis-radius. Für den Werkstoff wird die Fließbedingung von Tresca angenommen. Es werden fünf verschiedene Kombinationen folgender Lasten betrachtet: Eigengewicht, das Gewicht einer nichttragenden Abdeckung, Schneelast und äußere sowie innere Druckbelastung. Schließlich werden die Ergebnisse mit den optimalen Lösungen für Gitterschalen verglichen.
    Notes: Summary This paper concerns the optimal design of a spherical cupola of given base radius that consists of a material obeying Tresca's yield condition. Five different combinations of selfweight, weight of non-carrying cover, snow-load and external as well as internal pressure are discussed. Finally, the results are compared with the optimal solutions for spherical shellgrids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00535988
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Optimal spherical cupola of uniform strength (1980)
    Springer
    Archive of applied mechanics 49 (1980), S. 287-293 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Die Arbeit betrifft den optimalen Entwurf einer sphärischen Kuppel von gegebenem Basisradius, die aus einem Material ohne Zugfestigkeit besteht. Die kombinierte Belastung durch das Eigengewicht der Kuppel und das Gewicht einer Abdeckung konstanter Dicke wird behandelt, und Entwürfe für minimales Gesamtgewicht (minimale Vertikalbelastung des Fundaments) und für minimales Eigengewicht (minimaler Materialverbrauch) werden besprochen.
    Notes: Summary This paper concerns the optimal design of a spherical cupola of given base radius that consists of a material without tensile strength. The combined action of the weights of the cupola proper and a cover of uniform thickness is considered, and the designs for minimum total weight (minimum vertical load on foundation) and minimum structural weight (minimum material consumption) are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02426908
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  • 7
    Electronic Resource
    Electronic Resource
    Optimal cupolas of uniform strength: Spherical M-shells and axisymmetric T-shells (1982)
    Springer
    Archive of applied mechanics 52 (1982), S. 335-353 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Im ersten Teil dieser Arbeit wird der optimale Entwurf sphärischer Kuppeln behandelt, wobei die von Misessche Fließbewegung zugrunde gelegt wird. Fünf verschiedene Lastkombinationen werden untersucht. Der zweite Teil befaßt sich mit der optimalen quadratischen Form des Meridians von Kuppeln, die der Fließbedingung von Tresca folgen.
    Notes: Summary The first part of this paper is concerned with the optimal design of spherical cupolas obeying the von Mises yield condition. Five different load combinations, which all include selfweight, are investigated. The second part of the paper deals with the optimal quadratic meridional shape of cupolas obeying the Tresca yield condition, considering selfweight plus the weight of a non-carrying uniform cover. It is established that at long spans some non-spherical Tresca cupolas are much more economical than spherical ones.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00537193
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Optimal spherical cupola of uniform strength (1980)
    Springer
    Archive of applied mechanics 49 (1980), S. 287-293 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Die Arbeit betrifft den optimalen Entwurf einer sphärischen Kuppel von gegebenem Basisradius, die aus einem Material ohne Zugfestigkeit besteht. Die kombinierte Belastung durch das Eigengewicht der Kuppel und das Gewicht einer Abdeckung konstanter Dicke wird behandelt, und Entwürfe für minimales Gesamtgewicht (minimale Vertikalbelastung des Fundaments) und für minimales Eigengewicht (minimaler Materialverbrauch) werden besprochen.
    Notes: Summary This paper concerns the optimal design of a spherical cupola of given base radius that consists of a material without tensile strength. The combined action of the weights of the cupola proper and a cover of uniform thickness is considered, and the designs for minimum total weight (minimum vertical load on foundation) and minimum structural weight (minimum material consumption) are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00000001
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    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Optimal plastic design for partially pressigned strength distribution (1973)
    Springer
    Journal of optimization theory and applications 11 (1973), S. 421-436 
    Details
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The optimal plastic design of structures having a partially predefined strength distribution is considered. Sufficient conditions for optimality as well as upper and lower bounds on minimum structural volume are established and examples involving a continuous beam and a grillage are given. It is shown that most existing theories for optimal plastic design and limit analysis can be derived from the optimality criteria presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932491
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Optimal design of structures with variable support conditions (1975)
    Springer
    Journal of optimization theory and applications 15 (1975), S. 85-101 
    Details
    ISSN: 1573-2878
    Keywords: Structural optimization ; engineering design ; optimality conditions ; calculus of variations ; structural mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The conditions for optimal location of supports are derived for the case of elastic design for specified mean compliance and plastic design for given safety factor of plastic collapse. The optimal design problem is next formulated including position-dependent cost of support into the design procedure. Both rigid and flexible or yielding supports are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933023
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    Paper (German National Licenses)
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