DETERMINATION OF THE FIRST NATURAL FREQUENCY OF VIBRATION OF A STEEL POLE, UNDER THE EFFECT OF GEOMETRIC NONLINEARITY, USING OPTIMIZATION TECHNIQUES

Autores

  • Paulo H. dos S. Matos
  • Marcelo A. da Silva

Palavras-chave:

Dynamic Analysis, Vibration, Steel Poles, Geometric Non-Linearity, Vibration Mode, Rayleigh method

Resumo

This work aims to find a procedure to obtain an alternative formulation that represents the first mode of
vibration of slender steel poles considering the effect of geometric non-linearity, using the Reyleigh-Ritz method,
trigonometric formulations with optimization techniques and a finite element mathematical model of an existing
polygonal steel pole. In order to consider the geometric non-linearity in the calculation of the natural frequencies
of the respective structure, the concept of initial stiffness, geometric stiffness and effective stiffness computed by
the Rayleigh method for vibration problems in mechanical systems was used. So, to optimize the time to obtain
the modal response in the dynamic analysis of the described structure, without replacing the precision of the results
of a rigorous analysis with sophisticated methodologies, alternative formulations to those described in NBR 6123
(1988) will be presented in this work.

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Publicado

2024-06-15

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