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Earthquake interaction forces between two structures of different rigidities
Author(s) -
Ban Shizuo
Publication year - 1973
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.4290020204
Subject(s) - component (thermodynamics) , vibration , equations of motion , motion (physics) , structural engineering , fluid–structure interaction , classical mechanics , physics , engineering , finite element method , acoustics , thermodynamics
A combined structure is assumed to be composed of a rigid part and a flexible part. Each component structure would have a different period of natural vibration if it were built independently. When they are combined in one structure and subjected to an earthquake, there must be generated some interaction forces so that the component structures will have a common vibration. In this paper is an analytical method described to evaluate such interaction forces The general principle is as follows. For each of the component structures, equations of motion taking account of the unknown interaction forces are derived first. Then by eliminating the interaction forces, equations of motion of the combined structure are obtained. After solving these equations and substituting the solution into the equations of motion of the component structures, the unknown interaction forces are obtained directly In the present paper, two structures corresponding to two‐degree elastic systems are considered; numerical examples also are included.