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Dynamical systems, SIMP, bone remodeling and time dependent loads.
- Source :
- Structural & Multidisciplinary Optimization; Mar2012, Vol. 45 Issue 3, p359-366, 8p
- Publication Year :
- 2012
-
Abstract
- The dynamical systems approach to sizing and SIMP topology optimization, introduced in a previous paper, is extended to the case of time-varying loads. A general dynamical system, satisfying a Lyaponov-type descent condition, is derived and specialized to a goal function combining stiffness and mass. For a cyclic time-dependent load it is indicated how, in the limit of short cycles compared to the overall time scale, this can be handled by multiple load cases. Numerical examples, both for a convex and a non-convex case, illustrates the theory. [ABSTRACT FROM AUTHOR]
- Subjects :
- TOPOLOGY
MATHEMATICAL optimization
LYAPUNOV exponents
CONVEX functions
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 1615147X
- Volume :
- 45
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Structural & Multidisciplinary Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 71860902
- Full Text :
- https://doi.org/10.1007/s00158-011-0724-x