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Equation of Motion Governing the Dynamics of Vertically Collapsing Buildings

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Autor(es):
Pesce, Celso P. [1] ; Casetta, Leonardo [1] ; dos Santos, Flavia M. [1]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Sao Paulo, Dept Mech Engn, Offshore Mech Lab, Escola Politecn, BR-05508001 Sao Paulo - Brazil
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF ENGINEERING MECHANICS-ASCE; v. 138, n. 12, p. 1420-1431, DEC 2012.
Citações Web of Science: 6
Resumo

The present paper aims at contributing to a discussion, opened by several authors, on the proper equation of motion that governs the vertical collapse of buildings. The most striking and tragic example is that of the World Trade Center Twin Towers, in New York City, about 10 years ago. This is a very complex problem and, besides dynamics, the analysis involves several areas of knowledge in mechanics, such as structural engineering, materials sciences, and thermodynamics, among others. Therefore, the goal of this work is far from claiming to deal with the problem in its completeness, leaving aside discussions about the modeling of the resistive load to collapse, for example. However, the following analysis, restricted to the study of motion, shows that the problem in question holds great similarity to the classic falling-chain problem, very much addressed in a number of different versions as the pioneering one, by von Buquoy or the one by Cayley. Following previous works, a simple single-degree-of-freedom model was readdressed and conceptually discussed. The form of Lagrange's equation, which leads to a proper equation of motion for the collapsing building, is a general and extended dissipative form, which is proper for systems with mass varying explicitly with position. The additional dissipative generalized force term, which was present in the extended form of the Lagrange equation, was shown to be derivable from a Rayleigh-like energy function. DOI: 10.1061/(ASCE)EM.1943-7889.0000453. (C) 2012 American Society of Civil Engineers. (AU)

Processo FAPESP: 04/04611-5 - Impacto de estruturas contra a superficie-livre da água: uma abordagem teórica
Beneficiário:Leonardo Casetta
Linha de fomento: Bolsas no Brasil - Doutorado
Processo FAPESP: 10/07008-9 - Desenvolvimento de métodos numéricos aplicados ao problema de impacto hidrodinâmico em estruturas oceânicas
Beneficiário:Flávia Milo dos Santos
Linha de fomento: Bolsas no Brasil - Doutorado