EXISTENCE OF NATURAL FREQUENCIES OF SYSTEMS WITH ARTIFICIAL RESTRAINTS AND THEIR CONVERGENCE IN ASYMPTOTIC MODELLING

@inproceedings{Ilanko2002EXISTENCEON,
  title={EXISTENCE OF NATURAL FREQUENCIES OF SYSTEMS WITH ARTIFICIAL RESTRAINTS AND THEIR CONVERGENCE IN ASYMPTOTIC MODELLING},
  author={Sinniah Ilanko},
  year={2002}
}
Abstract A major limitation of the Rayleigh–Ritz method for determining the natural frequencies of a system is the need to choose admissible functions that do not violate the geometric constraints of that system (Courant 1943 Bulletin of the American Mathematical Society 49 , 1–23). Several researchers have attempted to overcome this problem by asymptotically modelling the rigid constraints with artificial (imaginary) restraints of very large stiffness (Courant 1943 Bulletin of the American… CONTINUE READING

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SHOWING 1-9 OF 9 CITATIONS

Asymptotic modelling theorems for the static analysis of linear elastic structures

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2005
VIEW 9 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

The use of negative penalty functions in linear systems of equations

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2006
VIEW 2 EXCERPTS
CITES BACKGROUND

The use of the reciprocals of positive and negative inertial functions in asymptotic modelling

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2006
VIEW 1 EXCERPT
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Introducing the use of positive and negative inertial functions in asymptotic modelling

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2005
VIEW 3 EXCERPTS
CITES BACKGROUND & RESULTS

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