Abstract
The overall stiffness of a truss is optimized by choosing the nodal coordinates of the undeformed truss such that the strain energy of the loaded truss attains a minimum. The derivatives of the strain energy with respect to the nodal coordinates are interpreted as material forces acting on the nodes of the undeformed truss in “design space”.
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References
Braun, M. (1999). Continuous and discrete elastic structures. Proceedings of the Estonian Academy of Sciences, 48:174–188.
Braun, M. (2000). Compatibility conditions for discrete elastic structures. Rendiconti del Seminario Matematico, Universitd e Politecnico Torino, 58:37–48.
Epstein, M. and Maugin, G. A. (1990). The energy-momentum tensor and material uniformity in finite elasticity. Ada Mechanica, 83:127–133.
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Braun, M. (2005). Structural Optimization by Material Forces. In: Steinmann, P., Maugin, G.A. (eds) Mechanics of Material Forces. Advances in Mechanics and Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/0-387-26261-X_21
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DOI: https://doi.org/10.1007/0-387-26261-X_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26260-4
Online ISBN: 978-0-387-26261-1
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