Chinese Journal of Theoretical and Applied Mechani ›› 2006, Vol. 38 ›› Issue (3): 364-370.DOI: 10.6052/0459-1879-2006-3-2005-071
• Research paper •
Since the stress is a local quantity, a large number of
constraints must be considered in the topology optimization of continuum
structure. This increases the computational complexity of both the
optimization algorithm and sensitivity analysis. A strategy with
globalization of stress constraints is proposed based on von Mises'
yield criterion. The local
stress constraints of element are transformed into the global strain energy constraints of
structure. Based on ICM (Independent, Continuous, Mapping)
method, independent continuous topological variables are introduced; a
suitable set of Filter functions of element with respect to weight,
allowable stress and stiffness is selected. The optimal topology model of
continuum structure is established with weight as objective and
subjected to strain energy constraints with multiple load cases. The best
path transmitted force in the multiple load cases is selected successfully.
Furthermore, the dual quadratic programming is applied to solve the
optimal model of continuum. In addition, the present optimal model and its
algorithm have been implemented by means of the MSC/Patran software platform
using PCL (Patran Command Language). Numerical examples indicate that the
method is efficient.
structural topological optimization,global stress constraints,ICM method,continuum structure,multiple load cases
,,. Topological optimization of continuum structure under the strategy of globalization of stress constraints[J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(3): 364-370.
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