Developing Directional Combination Rule for 6-Component Seismic Excitations [Agency: Science and Engineering Research Board (SERB); Sanction Order No. MTR/2020/000129]

Theme / Problem Statement:

Despite the recent surge in rotational seismology and demonstrated influence of vertical ground motion on certain structures, seismic design and performance of constructed facilities are by and large based on the orthogonal pair of horizontal components. Since spectral representation of ground motion can capture the epistemic uncertainty and aleatory variability better than time series representation, direction-cum-modal combination rule plays the pivotal rule when incorporating the multicomponent excitations in seismic design and assessing the seismic resilience. CQC is generally believed to be the best modal combination rule for unidirectional seismic excitation, but the directional combination rule is still at its infancy when six-component seismic excitations are considered. Though a few extensions have been reported to account for more than one component, six-component directional combination rule is still an open call. Given the spectral representation of six-component seismic excitations (three translation plus three rotation), response parameters associated with all the contributing modes can be combined for any one component of ground excitation using CQC as the modal combination rule. This proposal will investigate the possible directional combination rule to account for all the six-component spectral representations. The combination rule will be assessed against its ability to predict the response due to simultaneous application of the associated six-component time series excitations.

Research Objectives and Expected Outcome:

Directional Combination Rule for 6-Component Seismic Excitations

Methodology:

First principle of structural dynamics

Publication out of this Project:

  • Basu D, Vats F, Panchal A. Multicomponent directional-cum-modal combination rule for seismic analysis: theory and illustrations. Earthquake Engng Struct Dyn. 2022;1–27.
    PDF
  • Vats, F., Basu, D. Alternate algorithm for characterization of strong velocity pulse in ground motions. Int J Adv Eng Sci Appl Math (2023). https://doi.org/10.1007/s12572-023-00355-2
    PDF