Temporal analysis of dissipative constructions with disconnecting links

International Conference on Construction, Architecture and Technosphere Safety 2018

土木建筑工程

Potapov, A.^1

Department of Construction Manufacturing and Structural Theory, South Ural State University, Lenin Avenue, 76, Chelyabinsk

454080, Russia^1

关键词: Computational model;    Dissipative structure;    Duhamel integrals;    Dynamic reactions;    Intermediate support;    Nonlinear elements;    Relative displacement;    Temporal analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/451/1/012043/pdf
DOI  :  10.1088/1757-899X/451/1/012043

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The oscillation process of the dissipative structure is modeled on the basis of the "elastic force-relative displacement" deformation diagram for a random constructive nonlinear element, which rigidity changes suddenly at the moment of disconnection (breaking) of the connection. It is assumed that before the connection is switched off, the system is in a state of motion. The equations of the system reaction are represented in the nontrivial matrix form of the Duhamel integral. At the moment of transition through the critical time point, the parameters of the calculated dynamic model are corrected and changes are made to the parameters of the reaction of the damaged model. For the critical time point, the kinematic and force parameters of the reaction in two states of the computational model are determined: before and after switching off the connection. From these expressions, the analytical dependencies, that determine the magnitude of the leap in the parameters of the dynamic reaction at the moment of coupling failure, follow. As an example, we consider the problem of oscillations of a two-span steel beam, modeled by nine degrees of freedom, with a sudden destruction of the intermediate support, which is caused by impulsive action.