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Modal parameter identification using Z ‐transforms
Author(s) -
Mickleborough N. C.,
Pi Y. L.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620281008
Subject(s) - shaker , modal , modal testing , transfer function , time domain , cantilever , modal analysis , transformation (genetics) , mathematics , identification (biology) , autoregressive–moving average model , vibration , system identification , domain (mathematical analysis) , mathematical analysis , algorithm , acoustics , structural engineering , computer science , engineering , physics , autoregressive model , data modeling , materials science , statistics , database , chemistry , biology , biochemistry , computer vision , botany , polymer chemistry , electrical engineering , gene
A method for the time domain identification of modal parameters of a vibrating structure using Z ‐transformation sequences is presented in this paper. This identification proceeds using the Z ‐transfer function of a vibrating structure from which an auto‐regressive and moving‐average (ARMA) model of the vibrating structure is derived. From this ARMA model and time domain data, the modal parameters can be identified. The time domain data can be obtained from single point or multiple shaker excitation modal testing. To demonstrate the application and efficiency of the method, a test on a simulated cantilever beam is presented.