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  • 1
    Electronic Resource
    Electronic Resource
    Why multi-load topology designs based on orthogonal microstructures are in general non-optimal (1993)
    Springer
    Structural and multidisciplinary optimization 6 (1993), S. 200-204 
    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 It is well established that for a compliance constraint, the optimal topology of perforated plates under plane stress tends to that for least-weight trusses (Michell structures) as the “volume fraction” (i.e. the ratio material volume/available volume) approaches zero. It is shown in this note that for two loading conditions the optimal bar orientations for Michell structures are in general non-orthogonal and hence the assumption of orthogonal microstructures in multi-load plate topology optimization must lead to erroneous results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743514
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Errata (1994)
    Springer
    Structural and multidisciplinary optimization 7 (1994), S. 19-19 
    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
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742499
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Exact optimal structural layouts for non-self-adjoint problems (1993)
    Springer
    Structural and multidisciplinary optimization 5 (1993), S. 204-206 
    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 Using optimality criteria for trusses with displacement constraints, a truss layout is optimized for a point load and a given displacement in different directions, with a view to demonstrating some unexpected features of non-self-adjoint problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743359
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Optimal topology of trusses or perforated deep beams with rotational restraints at both ends (1993)
    Springer
    Structural and multidisciplinary optimization 5 (1993), S. 268-270 
    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 This note discusses the least-weight layout of a truss having support conditions similar to those for a clamped deep beam. Numerical solutions are presented and confirmed by analytical considerations based on Michell's optimality criteria.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743591
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    Paper (German National Licenses)
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  • 5
    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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  • 6
    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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  • 7
    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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  • 8
    Electronic Resource
    Electronic Resource
    Generalized shape optimization without homogenization (1992)
    Springer
    Structural and multidisciplinary optimization 4 (1992), S. 250-252 
    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 Two types of solutions may be considered in generalized shape optimization. Absolute minimum weight solutions, which are rather unpractical, consist of solid, empty and porous regions. In more practical solutions of shape optimization, porous regions are suppressed and only solid and empty regions remain. This note discusses this second class of problems and shows that a solid, isotropic microstructure with an adjustable penalty for intermediate densities is efficient in generating optimal topologies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01742754
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part I — General theory for plane trusses (1995)
    Springer
    Structural and multidisciplinary optimization 9 (1995), S. 178-188 
    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 Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect toany topology, Part II discusses analytical solutions within agiven two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743967
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part II — Analytical solutions within a two-bar topology (1995)
    Springer
    Structural and multidisciplinary optimization 9 (1995), S. 214-219 
    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 Analytical solutions are obtained for least-weight trusses with a vertical support and a single point load in an arbitrary direction. The optimal layout is derived for displacement and stress constraints within a two-bar topology, with different permissible stresses for the two bars. The globality of the above solutions is verified by a numerical exploration of the design space. The results in this paper show a complete agreement with the general theory of plane generalized Michell structures outlined in Part I of this study.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01743973
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    Paper (German National Licenses)
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