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Title: Shape-constrained Input Estimation for Efficient Multi-shaker Vibration Testing

Abstract

Multi-shaker vibration testing is gaining interest from structural dynamics test engineers as it can provide a much more accurate match to complicated field vibration responses than traditional single-axis shaker tests. However, the force capabilities of the small modal shakers typically used in multi-shaker vibration tests has limited the achievable response levels. To date, most multi-shaker vibration tests have been performed using a variety of standard, commercially-available control systems. While these control systems are adequate for a wide range of multiple-input/multiple-output tests, their control algorithms have not been tailored for the specific problem of multi-shaker vibration tests: efficiently coordinating the various shakers to work together to achieve a desired response. Here, a new input estimation algorithm is developed and demonstrated using simulations and actual test data. This algorithm, dubbed shape-constrained input estimation, is shown to effectively coordinate multiple shakers using a set of constraint vectors based on the deflection shapes of the test structure. This is accomplished by using the singular vector shapes of the system frequency response matrix, which allows the constraint vectors to automatically change as a function of frequency. Simulation and test results indicate a significant reduction in the input forces required to achieve a desired response. Finally,more » the results indicate that shape-constrained input estimation is an effective method to achieve higher response levels from limited shaker forces which will enable higher level multi-shaker vibration tests to be performed.« less

Authors:
ORCiD logo [1];  [2]
  1. Univ. of Massachusetts, Lowell, MA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Univ. of Massachusetts, Lowell, MA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Laboratories, Unknown, Unknown
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1617298
Report Number(s):
SAND-2019-14871J
Journal ID: ISSN 0732-8818; 682354
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Experimental Techniques
Additional Journal Information:
Journal Volume: 44; Journal ID: ISSN 0732-8818
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; multi-shaker testing; vibration testing; MIMO; input estimation; control algorithm; singular value decomposition

Citation Formats

Schultz, Ryan, and Avitabile, Peter. Shape-constrained Input Estimation for Efficient Multi-shaker Vibration Testing. United States: N. p., 2020. Web. doi:10.1007/s40799-020-00361-0.
Schultz, Ryan, & Avitabile, Peter. Shape-constrained Input Estimation for Efficient Multi-shaker Vibration Testing. United States. https://doi.org/10.1007/s40799-020-00361-0
Schultz, Ryan, and Avitabile, Peter. Tue . "Shape-constrained Input Estimation for Efficient Multi-shaker Vibration Testing". United States. https://doi.org/10.1007/s40799-020-00361-0. https://www.osti.gov/servlets/purl/1617298.
@article{osti_1617298,
title = {Shape-constrained Input Estimation for Efficient Multi-shaker Vibration Testing},
author = {Schultz, Ryan and Avitabile, Peter},
abstractNote = {Multi-shaker vibration testing is gaining interest from structural dynamics test engineers as it can provide a much more accurate match to complicated field vibration responses than traditional single-axis shaker tests. However, the force capabilities of the small modal shakers typically used in multi-shaker vibration tests has limited the achievable response levels. To date, most multi-shaker vibration tests have been performed using a variety of standard, commercially-available control systems. While these control systems are adequate for a wide range of multiple-input/multiple-output tests, their control algorithms have not been tailored for the specific problem of multi-shaker vibration tests: efficiently coordinating the various shakers to work together to achieve a desired response. Here, a new input estimation algorithm is developed and demonstrated using simulations and actual test data. This algorithm, dubbed shape-constrained input estimation, is shown to effectively coordinate multiple shakers using a set of constraint vectors based on the deflection shapes of the test structure. This is accomplished by using the singular vector shapes of the system frequency response matrix, which allows the constraint vectors to automatically change as a function of frequency. Simulation and test results indicate a significant reduction in the input forces required to achieve a desired response. Finally, the results indicate that shape-constrained input estimation is an effective method to achieve higher response levels from limited shaker forces which will enable higher level multi-shaker vibration tests to be performed.},
doi = {10.1007/s40799-020-00361-0},
journal = {Experimental Techniques},
number = ,
volume = 44,
place = {United States},
year = {Tue Mar 17 00:00:00 EDT 2020},
month = {Tue Mar 17 00:00:00 EDT 2020}
}

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