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This and the next 2 images are from:
Scott Townsend (1) and H. Alicia Kim (1,2)
(1) School of Engineering, Cardiff University, Cardiff, CF24 3AA, UK
(2) Department of Structural Engineering, University of California, San Diego, CA, 92093, USA
“A level set topology optimization method for the buckling of shell structures”, Structural and Multidisciplinary Optimization, Vol. 60, No. 5, pp 1783-1800 November 2019,
ABSTRACT: Shell structures are some of the most widely used in engineering applications. Flat plates, stiffened panels, and wing ribs are each examples of components for which the design features may be dictated by the critical buckling load. Despite this practical significance, there exists only a handful of studies in the literature documenting applications of topology optimization which consider buckling performance. This is due to several issues innate to this domain, including mode switching, spurious behavior in void regions, and the presence of repeated eigenvalues. Herein, we propose a level set method capable of effectively optimizing structures despite these challenges in the context of linear buckling. We demonstrate the usefulness of such in the design of several common shell structures and explore the trade-off between stiffness and buckling load performance.
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