DYNAMIC ANALYSIS OF STRUCTURES UNDER SENSITIVITY OF THE TIME STEPS BY THE BOUNDARY ELEMENT METHOD
kerlles rafael pereira sousa1; Éder Lima de Albuquerque2
1 IFMA; 2 UnB
doi:10.20906/CPS/CILAMCE2017-0028
Resumo
In this paper, a boundary element dynamic formulation is developed for the analysis of structures formed by three-dimensional association of plates. Initially, the boundary element formulations developed for plane elasticity isotropic problems and bending of isotropic thin plate problems are associated in one plane structure with four degrees of freedom per node, given by normal, tangential and transverse displacements and normal rotations. Then, the formulation is extended in order to allow the spatial assembling of these structures. The technique of sub-regions is applied to combine formulations in three-dimensional space. The time integration is carried out using the Houbolt method. The technique of transient analysis is used to determine the dynamic response of a structure under the loading how much the sensitivity of the results to quantity and position of the internal points and the size of the time steps. The final system is obtained by assuming each individual plane structural element as a sub-domain. After the necessary transformation of these equations, they can be combined in order to take into account displacement compatibilities and traction equilibrium conditions. Numerical examples are presented and their results are compared to results available in literature.
Palavras-chave: Boundary Element Method; DRM; Time Steps; Plates