Torsional response induced by lateral displacement and inertial force

Masayuki Kohiyama, Hiroki Yokoyama

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


Eccentric distribution of stiffness, damping, and mass of a structure, and spatially non-uniform ground motion input to a long or large base mat of a structure are well-known causes of torsional response. We have discovered that the torque generated by horizontal displacement and perpendicular inertial force, which we call the Q-Δ effect, can be a cause of torsional response. We formulated the equation of motion of a single finite-size mass-linear elastic shear and torsion spring model and clarified the resonance condition of the torsional response to sinusoidal ground acceleration. Time-history response analysis verified that the torsional response forms beat and the maximum torsional response of the simulation result agrees with that theoretically predicted. Further time-history response analysis conducted of white noise ground acceleration showed that even one-directional white noise ground acceleration can induce torsional response in a linear elastic system without any structural eccentricity.

Original languageEnglish
Article number38
JournalFrontiers in Built Environment
Publication statusPublished - 2018 Jul 13


  • Geometric nonlinearity
  • High-rise building
  • Large displacement
  • Lateral force
  • Q-Δ effect
  • Torsional response

ASJC Scopus subject areas

  • Geography, Planning and Development
  • Building and Construction
  • Urban Studies


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