MATRIX EQUATIONS MODELS FOR SOLVING THE DYNAMIC RESPONSE OF INELASTIC CANTILEVER STRUCTURES

Research output: Contribution to journalConference articlepeer-review

Abstract

This work presents a matrix equations model approach for analyzing the dynamic response of cantilever structures. The method can be used for assessing the linear-elastic or inelastic response of buildings with a symmetric or anti-symmetric floorplan. The proposed model constitutes an alternative to finite-element analysis and a valuable tool for introducing two-dimensional and three-dimensional cantilever structures to control the theory's state-space representation and structural dynamics' equation of motion. The model regards the stiffness and mass matrices. The proposed displacement-related stiffness matrix of cantilever elements satisfies the elemental boundary conditions while deriving a symmetric stiffness matrix. The linear-elastic response analysis is performed in displacement coordinates. But, the inelastic response analysis is conducted in bending curvature coordinates to coop with smooth hysteretic models that refer to the relation between the bending moment and the bending curvature through the bending stiffness. The transformation from displacement coordinates to bending curvature coordinates is explained. In the case of buildings with an anti-symmetric floorplan, the Direct Stiffness Method (DSM) is employed to transfer the cantilever elements from their local coordinates into the global degree-of-freedom (DOF) system. The numerical accuracy of the matrix equations model is examined and showcases its reliability.

Original languageEnglish
JournalCOMPDYN Proceedings
StatePublished - 1 Jan 2023
Event9th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2023 - Athens, Greece
Duration: 12 Jun 202314 Jun 2023

Keywords

  • Cantilever Structure
  • Deteriorating Inelastic Structures
  • Nonlinear Dynamics
  • Numerical Analysis
  • Structural Dynamics

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics
  • Civil and Structural Engineering

Fingerprint

Dive into the research topics of 'MATRIX EQUATIONS MODELS FOR SOLVING THE DYNAMIC RESPONSE OF INELASTIC CANTILEVER STRUCTURES'. Together they form a unique fingerprint.

Cite this