Experiment of torsional response induced by the Q–delta resonance

Fumiya Mizutori, Masayuki Kohiyama

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Because of geometric nonlinearities, vibrations in two horizontal directions can generate a torsional moment that induces a torsional response, even in a structure with no eccentricity; we term this phenomenon Q–Δ effect. In this study, the torsional response caused by the Q–Δ resonance was investigated by performing a shaking table test that involves a single-layer symmetric specimen. The specimen was designed and fabricated by focusing on one of two resonance conditions. Its moment of inertia was adjustable by changing locations of weights, and the natural frequency in the torsional mode could be modified. We developed a numerical model of the specimen, in which the columns connected to the slab were integrated into an elastic Euler beam. It was confirmed that the torsional response increased near the predicted Q–Δ resonance point. In addition, the acceleration at the corner of the slab was significantly increased. The formulated equations of motion provided a better prediction of the actual phenomena. Because the specimen corresponds to a stiff and slender high-rise building when converted into a full scale, the result suggests a need to be aware of the risk of torsional response increase due to the Q–Δ resonance.

Original languageEnglish
Article numbere1829
JournalStructural Design of Tall and Special Buildings
Issue number4
Publication statusPublished - 2021 Mar


  • elastic Euler beam
  • geometrical nonlinearity
  • high-rise building
  • shaking table test
  • symmetric structure
  • white noise ground motion

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Architecture
  • Building and Construction


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