Abstract
Consider a mechanical construction C with M < ∞ degrees of freedom; thus, virtual displacements of C are specified by vectors w ∈ IRM. The potential energy capacitated by C under a displacement w is assumed to be a nonnegative quadratic function 1/2 wT Qw of the displacement (“linearly elastic construction”), Q being a symmetric positive semidefinite matrix characterizing C; this matrix is assumed to depend linearly on the vector t of design variables: Q = Q(t).
Mathematics and it symbols are an enormous reservoir for unexploited forms. Robert le Ricolais (1894–1977) French Engineer/Artist/Sculptor/Poet
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ben-Tal, A., Nemirovski, A. (2000). Structural Design. In: Wolkowicz, H., Saigal, R., Vandenberghe, L. (eds) Handbook of Semidefinite Programming. International Series in Operations Research & Management Science, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4381-7_15
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4381-7_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6970-7
Online ISBN: 978-1-4615-4381-7
eBook Packages: Springer Book Archive