Use this URL to cite or link to this record in EThOS:
Title: Introducing loading uncertainty in level set-based structural topology optimisation
Author: Dunning, Peter
ISNI:       0000 0004 2706 8806
Awarding Body: University of Bath
Current Institution: University of Bath
Date of Award: 2011
Availability of Full Text:
Access from EThOS:
Access from Institution:
Structural topology optimisation aims to provide solutions that are independent of the initial layout, allowing the greatest opportunity to find the best design. Recent developments have seen increased interest in level set based optimisation, as the solutions obtained possess smooth boundaries and are free of numerical instabilities that affect traditional element based methods. The direct level set based structural topology optimisation method has been successful in solving a range of problems. However, it does suffer from some drawbacks and limitations. Two of the main issues with the direct level set method are accurate and efficient sensitivity computation on the boundary and initial design dependent solutions for two dimensional problems. These issues are addressed in this thesis by investigating and improving the efficient area-weighted fixed grid method and creating a novel hole creation method for two dimensional problems based on a pseudo third dimension. Uncertainty is important to include during design and optimisation to produce structures that are reliable and robust. Loading magnitude and direction uncertainty is introduced into the minimisation of compliance problem by considering the robust expected compliance objective. An efficient formulation is derived using an analytical approach where uncertainties are normally distributed. The robust problem is then extended to include compliance variance and sensitivities are derived using the adjoint method.
Supervisor: Kim, Hyunsun ; Mullineux, Glen Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available