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  • 1
    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)
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  • 2
    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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  • 3
    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)
    Fulltext
  • 4
    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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    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    On the validity of Prager's example of nonunique Michell structures (1997)
    Springer
    Structural and multidisciplinary optimization 13 (1997), S. 191-194 
    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 Prager (1974) demonstrated through an example that the optimal layout of least-weight trusses for a stress constraint — termed also Michell trusses—can be nonunique. The strain field for the above example, however, seems to violate Michell's optimality criteria. It is shown in this note that the above example of nonuniqueness is completely correct if we restrict the truss members to a smaller subset of the plane.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01199239
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Exact optimal layout of grillages for partially upward and partially downward loading (1997)
    Springer
    Structural and multidisciplinary optimization 13 (1997), S. 267-270 
    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 theory of the exact optimal layout of grillages (beam systems) of given depth is extended to partially upward and partially downward loading. Closed form analytical expressions are obtained for the optimal layout and the theory is illustrated with several examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01197456
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    Paper (German National Licenses)
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  • 7
    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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  • 8
    Electronic Resource
    Electronic Resource
    A note on truss design for stress and displacement constraints by optimality criteria methods (1991)
    Springer
    Structural and multidisciplinary optimization 3 (1991), S. 45-50 
    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 One of the difficulties with the optimization of large structural systems by optimality criteria (OC) methods, in which stress constraints are stated in terms of relative displacements, is the need to evaluate a large number of Lagrangians. An improved OC method, which does not require Lagrangians for stress constraints, is outlined in this note in the context of problems with stress constraints and a single displacement constraint. Whilst general formulae giving continuum-type optimality criteria for elastic systems are available (e.g. Rozvany 1989), the criteria for trusses are confirmed here by a simple derivation and verified on a ten-bar truss, for which the proposed technique and a dual programming method are shown to give a twelve-digit agreement.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743488
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    A well-posed non-selfadjoint layout problem: Least-weight plane truss for one load condition and two displacement constraints (1994)
    Springer
    Structural and multidisciplinary optimization 8 (1994), S. 195-205 
    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 Exact optimal plane truss layouts are derived for a vertical support and a concentrated load with two displacement constraints. The latter are imposed at the point of application of the load, in the direction of the load and in another direction. It is shown that for the above class of problems the optimal solution always consists of two symmetrically positioned bars. These solutions are derived analytically by two independent methods: (i) in the first one a two-bar topology is assumed and then the orientations and cross-sectional areas of the bars are optimized; (ii) in the second one, the same optimal solutions are derived from general optimality criteria, which show that the optimum is valid even when we consider all possible topologies. The paper demonstrates the power and versatility of continuum-type optimality criteria and also shows that for two displacement constraints at a loaded point the problem is non-selfadjoint but always well-posed, having a stationary optimum with a finite structural weight. The exact layout solutions given in this paper can be used as test examples for numerical methods in topology optimization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743318
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    On singular topologies in exact layout optimization (1994)
    Springer
    Structural and multidisciplinary optimization 8 (1994), S. 228-235 
    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 causes of singular structural topologies, which prevent most iterative computational algorithms from reaching the global optimal solution, are explained in the light of the theory of exact optimal layouts. This theory is also used for deriving eight fundamental characteristics of singular topologies. The above findings are illustrated with case studies of exact optimal layouts for a single load and for two load conditions with stress constraints.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742707
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    Paper (German National Licenses)
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