System-level measurements based force identification

Seung-Hwan Do; Min-Ho Pak; Seunghun Baek

doi:10.7776/ASK.2024.43.5.547

All Issue

2024 Vol.43, Issue 5 Preview Page Next Page

Research Article

System-level measurements based force identification 시스템 레벨의 응답을 이용한 가진력 추정

30 September 2024. pp. 547-556

PDF XML

Abstract

To predict the response of dynamic systems through analysis, it is essential to accurately estimate the system’s stiffness and apply it to the analytical model. However, directly measuring the stiffness of actual mechanical systems is challenging. Many existing methods involve decomposing the system into components, obtaining the frequency response for each component, and then reassembling them to determine the overall system response. This process can be cumbersome, and variations in coupling conditions between components can increase errors. In this study, a new method is proposed to estimate system stiffness indirectly through experiments without decomposing the system into components. The approach combines response measurements from the entire system with a theoretical model for analysis. It simplifies the stiffness source into a lumped mass model and constructs the equations of motion based on a reduced-order model of the entire system. Subsequently, the stiffness is quantified by calculating the interface forces between the stiffness source and the receiver using vibration measurements obtained at arbitrary positions through experimentation.

Keywords

Force identification

Reduced order modeling

Finite element method

Virtual point transformation

해석을 통한 동적 시스템의 응답 예측을 위해서는 시스템의 가진력을 정확하게 추정하고 해석 모델에 적용 하는 것이 필수적이다. 그러나, 실제 기계 시스템의 가진력을 직접적으로 측정하는 것은 어려운 일이다. 기존에 시도 되었던 많은 방법은 대부분 시스템을 부품 단위로 분해하여 주파수 응답을 구하고 다시 시스템 레벨로 결합하여 전체 시스템의 응답을 구하는 방식이다. 하지만 이 방식을 수행하는 과정은 매우 번거롭고, 부품 사이의 결합 조건이 바뀌어 오차가 늘어나기도 한다. 따라서, 본 연구에서는 실험을 통해 시스템 가진력을 추정하기 위해 부품 단위의 분해 없이 전체 시스템에서 측정된 응답과 수식 모델 해석을 결합하여 동적 시스템의 가진력을 간접적으로 추정하는 새로운 방법을 제안한다. 해당 방법은 가진원을 집중 질량 모델로 단순화하고, 전체 시스템의 차수 감소 모델을 기반으로 운동방정식을 구성한다. 이후, 실험을 통해 얻은 임의의 위치에서의 진동 측정값을 통해 가진원과 수신부 사이의 인터페이스 힘을 계산하여, 가진력을 정량화한다.

키워드

가진력 추정

차수 감소 모델

유한요소법

가상 지점 변환

References

H.-W. Lee, S.-M. Ryu, W.-B. Jeong, H.-S. Han, J.-W. Ahn, and S.-W. Jeong, "Force identification of a rotary compressor and prediction of vibration on a pipe" (in Korean), Trans. Korean Soc. Noise Vib. 20, 953-959 (2010).

10.5050/KSNVE.2010.20.10.953

X. Zhou, W. He, Y. Zeng, and Y. Zhang, "A semi- analytical method for moving force identification of bridge structures based on the discrete cosine transform and FEM," Mech. Syst. Signal Process. 180, 109444 (2022).

10.1016/j.ymssp.2022.109444

C. S. Koshy, P. Flores, and H. M. Lankarani, "Study of the effect of contact force model on the dynamic response of mechanical systems with dry clearance joints: computational and experimental approaches," Nonlinear Dyn. 73, 325-338 (2013).

10.1007/s11071-013-0787-x

P. Nazarko and L. Ziemianski, "Force identification in bolts of flange connections for structural health monitoring and failure prevention," Procedia Struct. Integr. 5, 460-467 (2017).

10.1016/j.prostr.2017.07.142

C. Yang, Y. Xie, S. Liu, and D. Sun, "Force modeling, identification, and feedback control of robot-assisted needle insertion: a survey of the literature," Sensors, 18, 561 (2018).

10.3390/s18020561

R. Bulín, M. Hajžman, and P. Polach, "Complex modelling and dynamical analysis of parallel cable mechanisms," Proc. MUSME, 193-202 (2018).

10.1007/978-3-319-67567-1_18

F. X. de Melo and L. P. R. de Oliveira, "Combining classical and component-based TPA for equivalent load identification," J. Braz. Soc. Mech. Sci. Eng. 42, 1-11 (2020).

10.1007/s40430-020-02316-3

A. T. Moorhouse, A. S. Elliott, and T. A. Evans, "In situ measurement of the blocked force of structure-borne sound sources," J. Sound Vib. 325, 679-685 (2009).

10.1016/j.jsv.2009.04.035

E. Parloo, P. Verboven, P. Guillaume, and M. Van Overmeire, "Force identification by means of in- operation modal models," J. Sound Vib. 262, 161-173 (2003).

10.1016/S0022-460X(02)01052-0

E. Lourens, E. Reynders, G. De Roeck, G. Degrande, and G. Lombaert, "An augmented Kalman filter for force identification in structural dynamics," Mech. Syst. Signal Process. 27, 446-460 (2012).

10.1016/j.ymssp.2011.09.025

F. Naets, J. Cuadrado, and W. Desmet, "Stable force identification in structural dynamics using Kalman filtering and dummy-measurements," Mech. Syst. Signal Process. 50-51, 235-248 (2015).

10.1016/j.ymssp.2014.05.042

R. Zhou, "Analytical model of milling forces prediction in five-axis milling process," Int. J. Adv. Manuf. Tech. 108, 3045-3054 (2020).

10.1007/s00170-020-05582-6

M. Aucejo and O. De Smet, "On a full Bayesian inference for force reconstruction problems," Mech. Syst. Signal Process. 104, 36-59 (2018).

10.1016/j.ymssp.2017.10.023

R. R. Craig and M. C. C. Bampton, "Coupling of substructures for dynamic analyses," AIAA J. 6, 1313-1319 (1968).

10.2514/3.4741

D. De Klerk, D. J. Rixen, and S. N. Voormeeren, "General framework for dynamic substructuring: history, review and classification of techniques," AIAA J. 46, 1169-1181 (2008).

10.2514/1.33274

S. Oh, H. Lee, J.-K. Lee, H. Yoon, and J.-G. Kim, "Real-time response estimation of structural vibration with inverse force identification," Struct. Contr. Health Monit. 2023, 1-23 (2023).

10.1155/2023/2691476

J. Ortega Almirón, F. Bianciardi, P. Corbeels, and W. Desmet, "Predicting vibration levels on an experimental test case by using invariant loads (eg blocked forces) as source characterization," Proc. ISMA, 4131-4145 (2018).

M. V. D. Seijs, D. V. D. Bosch, D. Rixen, and D. D. Klerk, "An improved methodology for the virtual point transformation of measured frequency response functions in dynamic substructuring," Proc. 40th ECCOMAS, 4, 4334-4347 (2013).

Information

Publisher :The Acoustical Society of Korea
Publisher(Ko) :한국음향학회
Journal Title :The Journal of the Acoustical Society of Korea
Journal Title(Ko) :한국음향학회지
Volume : 43
No :5
Pages :547-556
Received Date : 2024-08-18
Revised Date : 2024-09-02
Accepted Date : 2024-09-03
DOI :https://doi.org/10.7776/ASK.2024.43.5.547

The Journal of the Acoustical Society of KoreaISSN:1225-4428(Print) 2287-3775(Online)한국음향학회

All Issue