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Impulsive Dirac‐delta forces in the rocking motion
Author(s) -
Prieto F.,
Lourenço P. B.,
Oliveira C. S.
Publication year - 2004
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.381
Subject(s) - motion (physics) , delta wing , computation , dirac delta function , dirac (video compression format) , work (physics) , classical mechanics , mechanism (biology) , physics , mathematics , theoretical physics , mechanics , mathematical analysis , quantum mechanics , algorithm , vortex , neutrino
In this work the classical theory of one block rocking motion is revisited. A Dirac‐delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been found for the case of arbitrary angles and slenderness. The approach presented in this paper opens new lines for further theoretical developments and computational applications. Copyright © 2004 John Wiley & Sons, Ltd.