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Books > Professional & Technical > Technology: general issues > Technical design
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Topology Optimization in Structural and Continuum Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014)
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Topology Optimization in Structural and Continuum Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: CISM International Centre for Mechanical Sciences, 549
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The book covers new developments in structural topology
optimization. Basic features and limitations of Michell's truss
theory, its extension to a broader class of support conditions,
generalizations of truss topology optimization, and Michell
continua are reviewed. For elastic bodies, the layout problems in
linear elasticity are discussed and the method of relaxation by
homogenization is outlined. The classical problem of free material
design is shown to be reducible to a locking material problem, even
in the multiload case. For structures subjected to dynamic loads,
it is explained how they can be designed so that the structural
eigenfrequencies of vibration are as far away as possible from a
prescribed external excitation frequency (or a band of excitation
frequencies) in order to avoid resonance phenomena with high
vibration and noise levels. For diffusive and convective transport
processes and multiphysics problems, applications of the density
method are discussed. In order to take uncertainty in material
parameters, geometry, and operating conditions into account,
techniques of reliability-based design optimization are introduced
and reviewed for their applicability to topology optimization.
General
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