Stiffness identification of shear structure based on inverse formulation of Rayleigh's principle: Inverse formulation of variational principles of mechanics and structural optimization part 1

Research output: Contribution to journalArticle

Abstract

The shape, boundary conditions of the loads and displacements, and distributions of mass and stiffness of a continuum are given in classical variational principies, whereas an inverse variational principie deals with a type of problems where boundary shape is unknown. Another type of inverse formulation of variational principie proposed in this paper is applicable to sizing optimization or a stiffness identification probiem. This paper discusses an inverse formulation of Rayfeigh's principle that is useful to identify unknown stiffness for a given eigenvalue and eigenmode. An analytical exampfe is empioyed to illustrate that the inverse minimum principle of potential energy proposed in this paper is useful in identifying discretized stiffness distribution of a shear structure having designated eigenvalue and eigenmode.

Original languageEnglish
Pages (from-to)1677-1686
Number of pages10
JournalJournal of Structural and Construction Engineering
Volume80
Issue number717
DOIs
Publication statusPublished - 2015 Jan 1

Keywords

  • Inverse problem
  • Inverse variational principle
  • Rayleigh's principle
  • Shear structure
  • Stiffness identification
  • Variational principle

ASJC Scopus subject areas

  • Architecture
  • Building and Construction

Fingerprint Dive into the research topics of 'Stiffness identification of shear structure based on inverse formulation of Rayleigh's principle: Inverse formulation of variational principles of mechanics and structural optimization part 1'. Together they form a unique fingerprint.

  • Cite this