scholarly journals Non-simultaneous real-time hybrid simulation of a numerical and experimental mechanical system with moderate nonlinearities via iterative coupling based on Frequency Response Functions

2022 ◽  
Vol 163 ◽  
pp. 108055
Author(s):  
Wolfgang Witteveen ◽  
Lukas Koller ◽  
Daniel Penninger
Author(s):  
W. Schünemann ◽  
R. Schelenz ◽  
G. Jacobs ◽  
W. Vocaet

AbstractThe aim of a transfer path analysis (TPA) is to view the transmission of vibrations in a mechanical system from the point of excitation over interface points to a reference point. For that matter, the Frequency Response Functions (FRF) of a system or the Transmissibility Matrix is determined and examined in conjunction with the interface forces at the transfer path. This paper will cover the application of an operational TPA for a wind turbine model. In doing so the path contribution of relevant transfer paths are made visible and can be optimized individually.


Author(s):  
Marcus Neubauer ◽  
Andreas Renner ◽  
Jo˜rg Wallaschek

Piezoelectric self-sensing allows the measurement of frequency response functions of dynamical systems with one single piezoelectric element. This piezoceramics is used as actuator and sensor simultaneously. In this study, the frequency response functions are obtained by measuring the current flowing through the piezoelectric element, while it is driven by a harmonic voltage signal with constant amplitude. The current flow is composed of the part which is required to drive the piezoelectric element as an actuator and a second part which is the sensor signal that is proportional to the vibration amplitude of the attached mechanical system. Especially for low electromechanical coupling the first part is dominant and the influence of the mechanical system is only marginal. With an idealized mathematical model of the piezoelectric element, the admittance can be calculated and the actuator current can be eliminated from the measured signal. This software-based solution does not require any additional electrical circuits or precise tuning during the measurements. The influence of errors of the parameters for the piezoelectric model on the recalculated signals are shown, which helps to improve the estimations. Alternatively, they can be obtained by additional measurements. The proposed technique is demonstrated on a clamped beam with attached piezoelectric element.


1998 ◽  
Vol 120 (2) ◽  
pp. 509-516 ◽  
Author(s):  
J. A. Morgan ◽  
C. Pierre ◽  
G. M. Hulbert

This paper demonstrates how to calculate Craig-Bampton component mode synthesis matrices from measured frequency response functions. The procedure is based on a modified residual flexibility method, from which the Craig-Bampton CMS matrices are recovered, as presented in the companion paper, Part I (Morgan et al., 1998). A system of two coupled beams is analyzed using the experimentally-based method. The individual beams’ CMS matrices are calculated from measured frequency response functions. Then, the two beams are analytically coupled together using the test-derived matrices. Good agreement is obtained between the coupled system and the measured results.


Author(s):  
S. Y. Chen ◽  
M. S. Ju ◽  
Y. G. Tsuei

Abstract A frequency-domain technique to extract the normal mode from the measurement data for highly coupled structures is developed. The relation between the complex frequency response functions and the normal frequency response functions is derived. An algorithm is developed to calculate the normal modes from the complex frequency response functions. In this algorithm, only the magnitude and phase data at the undamped natural frequencies are utilized to extract the normal mode shapes. In addition, the developed technique is independent of the damping types. It is only dependent on the model of analysis. Two experimental examples are employed to illustrate the applicability of the technique. The effects due to different measurement locations are addressed. The results indicate that this technique can successfully extract the normal modes from the noisy frequency response functions of a highly coupled incomplete system.


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