Structural Monitoring and Maintenance

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Investigation of the accuracy of different finite element model reduction techniques

  • Ghannadi, Parsa (Department of Civil Engineering, Ahar Branch, Islamic Azad University) ;
  • Kourehli, Seyed Sina (Department of Civil Engineering, Ahar Branch, Islamic Azad University)
  • Received : 2018.07.28
  • Accepted : 2018.09.07
  • Published : 2018.09.25
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Abstract

In this paper, various model reduction methods were assessed using a shear frame, plane and space truss structures. Each of the structures is one-dimensional, two-dimensional and three-dimensional, respectively. Three scenarios of poor, better, and the best were considered for each of the structures in which 25%, 40%, and 60% of the total degrees of freedom (DOFs) were measured in each of them, respectively. Natural frequencies of the full and reduced order structures were compared in each of the numerical examples to assess the performance of model reduction methods. Generally, it was found that system equivalent reduction expansion process (SEREP) provides full accuracy in the model reduction in all of the numerical examples and scenarios. Iterated improved reduced system (IIRS) was the second-best, providing acceptable results and lower error in higher modes in comparison to the improved reduced system (IRS) method. Although the Guyan's method has very low levels of accuracy. Structures were classified with the excitation frequency. High-frequency structures compared to low-frequency structures have been poor performance in the model reduction methods (Guyan, IRS, and IIRS).

Keywords

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