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 journalArticlepeer-review

    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

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