Structural and Multidisciplinary Optimization (2018) 58:677–686 https://doi.org/10.1007/s00158-018-1921-7 RESEARCH PAPER Theoretically optimal bracing for pre-existing building frames Hongjia Lu1 · Matthew Gilbert1 · Andrew Tyas1 Received: 7 August 2017 / Revised: 12 January 2018 / Accepted: 22 January 2018 / Published online: 9 March 2018 © The Author(s) 2018. This article is an open access publication
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