Time Analysis of Building Dynamic Response Under Seismic Action. Part 1: Theoretical Propositions

[摘要] The first part of the article presents the main provisions of the analytical approach - the time analysis method (TAM) developed for the calculation of the elastic dynamic response of rod structures as discrete dissipative systems (DDS) and based on the investigation of the characteristic matrix quadratic equation. The assumptions adopted in the construction of the mathematical model of structural oscillations as well as the features of seismic forces' calculating and recording based on the data of earthquake accelerograms are given. A system to resolve equations is given to determine the nodal (kinematic and force) response parameters as well as the stress-strain state (SSS) parameters of the system's rods.

[发布机构] Department of Construction Industry and Theory of Structures, South Ural State University, Lenin Avenue, 76, Chelyabinsk; 454080, Russia^1

[学科分类] 土木及结构工程学

[关键词] Analytical approach;Building dynamics;Characteristic matrices;Dissipative systems;Quadratic equations;Response parameters;Stress strain state;Structural oscillations