By Niels Olhoff, Erik Lund (auth.), José Herskovits (eds.)
Advances in Structural Optimization offers the options for a large set of purposes, starting from the issues of measurement and form optimization (historically the 1st to be studied) to topology and fabric optimization. Structural types are thought of that use either discrete and finite components. Structural fabrics could be classical or new. rising equipment also are addressed, resembling computerized differentiation, clever constructions optimization, integration of structural optimization in concurrent engineering environments, and multidisciplinary optimization.
For researchers and architects in industries comparable to aerospace, car, mechanical, civil, nuclear, naval and offshore. A reference publication for complex undergraduate or graduate classes on structural optimization and optimal layout.
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Extra resources for Advances in Structural Optimization
55. Institute of 44 Mechanical Engineering, Aalborg University, Denmark, 31 pp. Earlier version published in: Lecture Notes for COMETI course on Computer Aided Optimum Design of Structures. August 1993. Aalborg. ; Olhoff, N (1993a): Reliable and Efficient Finite Element Based Design Sensitivity Analysis of Eigenvalues. In: Proc. Structural Optimization 93 - The World Congress on Optimal Design of Structural Systems, (Ed. J. Herskovits), Vol. 2, pp. 197-204, Rio de Janeiro, Brazil. ; Olhoff, N (1993b): Shape Design Sensitivity Analysis of Eigenvalues Using "Exact" Numerical Differentiation of Finite Element Matrices.
3 and Chapter 7. The objective of the optimization, however, will be different from the design objective considered in Chapter 7, since now we would like to minimize the mass moment of inertia of the disk. At the same time, we would like to specify a temperature dependent non-linear constraint on the von Mises stresses as shown in Fig. IS. This constraint is realized by normalizing the von Mises stress u . with the function shown in Fig. 15. It should t;;;' noted that this non-linear stress constraint changes during the optimization process as the temperature field changes with design.
An implementation scheme is suggested that is quite general and simple needing minimal programming. List of Symbols b, bi B DijU, D dS, rdS dV,rdV eij, e fj, f F g G design variable strain-displacement matrix material modulus tensor differential surlace; differential surface in the reference domain differential volume; differential volume in the reference domain infinitesimal strain tensor body force per unit volume vector of node point internal forces integrand of the displacement specified boundary integral in the response functional integrand of the volume integral in the response functional 47 J.