A Comparison of Modal Analysis of Ritz Vector Mode (Ritze) and Eagan Vector (Eigen) based on nonlinear Time History (NTH) Dynamic Analysis
Subject Areas : Analysis of Structure and Earthquakeseyed ali mousavi davoudi 1 , Morteza Naghipour 2
1 - Master of Structural Engineering at Tabari University
2 - استاد دانشگاه صنعتی نوشیروانی بابل
Keywords: nonlinear time history analysis, : Modal analysis, Ritz vector, Eigen vector,
Abstract :
Nowadays, the requirements of designing structures based on low weight and high strength in structural engineering science, have increased the possibility of unwanted and destructive vibrations in these systems. Also, using of computer softwares for modeling alone cannot accurately predict the dynamic behavior of structures. For this reason, a fundamental approach to experimental techniques was developed and made progress in the field of modal analysis. In recent years, modal analysis has been applied as a tool to determine and enhance the dynamic properties of structures. The vibrational modes obtained from the modal analysis, are useful for understanding the behavior of the structure correctly. Modal analysis is also used in modal time history analyzes and quasi-dynamic analysis of response spectrum. An important point in modal analysis is that when using modal analysis there are two types of analytical models named special vector state and Ritz vector state. Finding the best method for modal analysis of structural responses is very important in modal analysis, so far no comprehensive studies have been conducted to date. Considering the importance of this issue, in this study the evaluation of the accuracy between the two modes of vectors (Ritz) and (Eigen) in modal analysis is done. It is concluded that the modal analysis of Eigen vector is more accurate than Ritz vector and the results of Eigen modal analysis are closer to reality.
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