Performance based optimal seismic retrofitting of yielding plane frames using added viscous damping

O. Lavan, R. Levy

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


This paper is concerned with the optimal seismic design of added viscous dampers in yielding plane frames. The total added damping is minimized for allowable values of local performance indices under the excitation of an ensemble of ground motions in both regular and irregular structures. The local performance indices are taken as the maximal inter-story drift of each story and/or the normalized hysteretic energy dissipated at each of the plastic hinges. Gradients of the constraints with respect to the design variables (damping coefficients) are derived, via optimal control theory, to enable an efficient first order optimization scheme to be used for the solution of the problem. An example of a ten story three bay frame is presented. This example reveals the following 'fully stressed characteristics' of the optimal solution: damping is assigned only to stories for which the local performance index has reached the allowable value. This may enable the application of efficient and practical analysis/redesign type methods for the optimal design of viscous dampers in yielding plane frames.

Original languageEnglish
Pages (from-to)307-326
Number of pages20
JournalEarthquake and Structures
Issue number3
StatePublished - 1 Jan 2010


  • Irregular structures
  • Optimal damper placement
  • Passive control
  • Supplemental viscous damping
  • Yielding frames

ASJC Scopus subject areas

  • Civil and Structural Engineering


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