Dynamic Response Analysis of the Ondrej Nepela Stadium Grandstands

AbstractBehaviour of the spectators in the grandstands during a sports match may generate excessive vibration that can cause problems with the serviceability limit state. Construction of modern stadium due to architectural design and improving the material properties of the elements are made more efficient. This type of structural design brings many benefits. On the other hand, the size of its vibration, caused mainly by coordinated motion spectators, became of great values, which may exceed the limit values given in the respective standards. In this article we are dealing with modal analysis of structures Ondrej Nepela stadium in Bratislava and finding natural frequencies adjacent grandstands. Global support system and his description are based on the original design project documents from 1988 and subsequent project documentation from 2009.Complete reconstruction of the stadium in shape as it looks today, was in 2009. Ground plan dimensions of the hall are 86.0 x 102.8 meters and maximum theoretical amount at mid- range is 23.3 meters. The mods of natural vibration and natural frequencies were calculated by the computational model in computer program Scia Engineer with using the Lanczos mathematical method. Software package Scia Engineer uses the principle of finite element method (FEM) - numerical method for solving boundary value of continuum mechanics. FEM solves a system of differential equations transformed to a system of linear algebraic equations