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COMMENTS ON NON-LINEAR FORMULATIONS FOR TRAVELLING STRING AND BEAM PROBLEMS

✍ Scribed by H. KOIVUROVA; E.-M. SALONEN

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
213 KB
Volume
225
Category
Article
ISSN
0022-460X

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πŸ“œ SIMILAR VOLUMES

Comments on the Hamiltonian formulation
Comments on the Hamiltonian formulation for linear and non-linear oscillators including dissipation
✍ M.A.F. SanjuΓ‘n πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 223 KB

The Hamiltonian formalism for the damped harmonic oscillator has recently received some attention [1][2][3][4], in which a canonical transformation has been used in order to remove the damping term in the original term. The original idea goes back, as far as the author knows, to the article of Batem

HIGH-ORDER BEM FORMULATIONS FOR STRONGLY
HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS
✍ SHI-JUN LIAO πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 611 KB

In this paper the basic idea of homotopy in topology is applied to give a kind of high-order BEM formulation for general non-linear problems governed by non-linear differential operators which need not contain any linear operators at all. As a result, the traditional REM for non-linear problems is j

COMMENT ON β€œNON-LINEAR VIBRATION ANALYSI
COMMENT ON β€œNON-LINEAR VIBRATION ANALYSIS OF A TRAVELLING STRING WITH TIME-DEPENDENT LENGTH BY NEW HYBRID LAPLACE TRANSFORM/FINITE ELEMENT METHOD”
✍ A.Y.T. LEUNG πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 53 KB

The authors of reference [1] solved the Laplace transformed equation ( 20) below by three consecutive similarity transformations to make the symmetric square matrices M, C and K diagonal for the inverse Laplace transform. The "rst transformation is

Boundary stabilization for a non-linear
Boundary stabilization for a non-linear beam on elastic bearings
✍ To Fu Ma πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract In this paper, we study the equation under non‐linear boundary conditions which model the vibrations of a beam clamped at __x__=0 and supported by a non‐linear bearing at __x__=__L__. By adding only one damping mechanism at __x__=__L__, we prove the existence of a global solution and

HIGH-ORDER BEM FORMULATIONS FOR STRONGLY
HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS. PART 2: SOME 2D EXAMPLES
✍ Shi-Jun Liao πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

In this paper the general BEM proposed previously by Liao is applied to solve some 2D strongly non-linear differential equations, even including those whose governing equations and boundary conditions do not contain any linear terms. It is shown that the proposed general BEM is really valid for gene