Topology optimization in structural and continuum mechanics [electronic resource] / George I.N. Rozvany, Tomasz Lewinski, editors.

Topology optimization in structural and continuum mechanics [electronic resource] / George I.N. Rozvany, Tomasz Lewinski, editors.

9783709116432 electronic book
3709116430 electronic book
9783709116425

Wien : Springer, [2014].

English

1 online resource (471 pages) : illustration.

10.1007/978-3-7091-1643-2 doi

QC20.7.T65

530.15

The book covers new developments in structural topology optimization. Basic features and limitations of Michells 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.

Includes bibliographical references.

Access limited to authorized users.

Description based on print version record.

Courses and lectures ; v. 549.

Online Resources > Ebooks
All Resources