Probability distribution of torsional response induced by lateral displacement and inertial force

Hiroki Yokoyama, Masayuki Kohiyama

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

In previous studies of torsional response, researchers considered torsional vibration of a building to be caused by an eccentric distribution of stiffness, damping, and the structure's mass, as well as spatially non-uniform ground motion input into a long or large base mat of a structure. However, we have discovered that the torque generated by horizontal displacement and the perpendicular inertial force, which we call the Q-? effect, can cause torsional vibration. To investigate this effect, we considered a single finite-size mass-linear elastic shear and torsion spring model and derived the resonance condition with respect to a torsional response from the equation of motion. In this study, we discuss the probability distribution of the induced torque and torsional-displacement response to the input ground acceleration of the uncorrelated Gaussian white-noise in two translational directions. In the frequency domain, the power spectral density function of the torque induced by the Q-? effect is proportional to a convolution of two frequency-response functions in two translational directions. In the time domain, the probability density function of the induced torque is a modified Bessel function of the second kind. Time-history response analysis was conducted to verify these theoretical results and to investigate the distribution of torsional response to Gaussian white-noise input ground acceleration.

本文言語English
ホスト出版物のタイトルProceedings of the 29th European Safety and Reliability Conference, ESREL 2019
編集者Michael Beer, Enrico Zio
出版社Research Publishing Services
ページ3224-3231
ページ数8
ISBN(電子版)9789811127243
DOI
出版ステータスPublished - 2020
イベント29th European Safety and Reliability Conference, ESREL 2019 - Hannover, Germany
継続期間: 2019 9月 222019 9月 26

出版物シリーズ

名前Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019

Conference

Conference29th European Safety and Reliability Conference, ESREL 2019
国/地域Germany
CityHannover
Period19/9/2219/9/26

ASJC Scopus subject areas

  • 安全性、リスク、信頼性、品質管理
  • 安全研究

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