Direct application of the transfer matrix method to solve nonlinear autonomous boundary value problems with multiple branches

L. A. Shultz, V. R. Murthy

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

A direct transfer matrix method is developed to analyze the nonlinear, branched and one-dimensional autonomous boundary value problems. The method is applied to determine (1) the natural frequencies and modes about the initial state (vacuum), (2) the nonlinear steady-state deflections, (3) the natural frequencies and modes about the trimmed state, and (4) the aeroelastic stability of branched blades in hover. A quasi-steady strip theory is employed for calculation of the aerodynamic forces. A Newton-Raphson method based on a quasi-linearization of a nonlinear distributed boundary value problem is developed to solve the steady-state deflections of the blade. The formulation is validated by comparing the results with those obtained by other methods in the literature.

Original languageEnglish (US)
Pages (from-to)439-452
Number of pages14
JournalComputers and Structures
Volume49
Issue number3
DOIs
StatePublished - Nov 1993

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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