Transforming a Simple Structure Model to Represent a Complex Dynamic System with Unknown Boundary Restraints

Woodall, J.; Hossain, M.; Maji, A.; Moreu, F.

doi:10.1007/s40799-021-00494-w

Transforming a Simple Structure Model to Represent a Complex Dynamic System with Unknown Boundary Restraints

Journal Article · Tue Jul 20 00:00:00 EDT 2021 · Experimental Techniques

DOI:https://doi.org/10.1007/s40799-021-00494-w· OSTI ID:1817700

Woodall, J. ^[1]; Hossain, M. ^[1]; Maji, A. ^[2]; ^[1]

Univ. of New Mexico, Albuquerque, NM (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Imposing a boundary condition on a structure can significantly alter its dynamic properties. However, sometimes the specifics of the new boundary conditions are not known. When the effects of a boundary condition are uncertain or there is not enough information, engineers need to excite the complex structure to obtain these modified properties. In order to experimentally obtain the new properties, engineers need multiple experiments and many outputs for interpolation in order to sufficiently represent the entire structure. In this study, the researchers attached a stinger to a cantilever beam, acting as a new transverse restraint of unknown properties. This paper presents a conversion expression that predicts the dynamic behavior of any point in the system with the new boundary condition. This expression relies only on one impact hammer experiment with one output and the model of the stinger-free cantilever beam, referred to as the simple structure. Researchers estimated the Transfer Function (TRF) of the beam and compared it with an experimentally measured TRF to validate the method. The mean absolute error of the estimated TRF compared to the experimental TRF is 1.99 dB. This demonstrates the use of the proposed method for estimating unmeasured TRFs in a system with an uncertain boundary condition using a single input, single output (SISO) test and a model of the simple structure.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1817700

Report Number(s):: SAND--2020-7983J; 687830

Journal Information:: Experimental Techniques, Journal Name: Experimental Techniques Journal Issue: 4 Vol. 46; ISSN 0732-8818

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

References (21)

Structural dynamic modification Sestieri, A. Sadhana, Vol. 25, Issue 3 https://doi.org/10.1007/BF02703543	journal	June 2000
Structural dynamic modifications via models Kundra, T. K. Sadhana, Vol. 25, Issue 3 https://doi.org/10.1007/bf02703544	journal	June 2000
Optimization of Shaker Locations for Multiple Shaker Environmental Testing Mayes, R.; Ankers, L.; Daborn, P. Experimental Techniques, Vol. 44, Issue 3 https://doi.org/10.1007/s40799-019-00347-7	journal	November 2019
Dynamic analysis of a beam with an intermediate elastic support Verniere de Irassar, P. L.; Ficcadenti, G. M.; Laura, P. A. A. Journal of Sound and Vibration, Vol. 96, Issue 3 https://doi.org/10.1016/0022-460x(84)90364-x	journal	October 1984
On SISO and MIMO variable structure control of non linear distributed parameter systems: application to fixed bed reactors Boubaker, Olfa; Babary, Jean-Pierre Journal of Process Control, Vol. 13, Issue 8 https://doi.org/10.1016/S0959-1524(03)00004-0	journal	December 2003
Eigenvalues of structures with uncertain elastic boundary restraints Huang, Bin; Li, Q. S.; Shi, W. H. Applied Acoustics, Vol. 68, Issue 3 https://doi.org/10.1016/j.apacoust.2006.01.012	journal	March 2007
Reduction and coupling of substructures via Gram–Schmidt Interface modes Battiato, G.; Firrone, C. M.; Berruti, T. M. Computer Methods in Applied Mechanics and Engineering, Vol. 336 https://doi.org/10.1016/j.cma.2018.03.001	journal	July 2018
A robust model-based test planning procedure Vinot, P.; Cogan, S.; Cipolla, V. Journal of Sound and Vibration, Vol. 288, Issue 3 https://doi.org/10.1016/j.jsv.2005.07.007	journal	December 2005
Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections Allen, Matthew S.; Mayes, Randall L.; Bergman, Elizabeth J. Journal of Sound and Vibration, Vol. 329, Issue 23 https://doi.org/10.1016/j.jsv.2010.06.007	journal	November 2010
A metric on the similarity between two frequency response functions Lee, Dooho; Ahn, Tae-Soo; Kim, Hyeon-Seok Journal of Sound and Vibration, Vol. 436 https://doi.org/10.1016/j.jsv.2018.08.051	journal	December 2018
Multi-level substructuring combined with model order reduction methods Blömeling, Frank Linear Algebra and its Applications, Vol. 436, Issue 10 https://doi.org/10.1016/j.laa.2011.02.040	journal	May 2012
A new exact substructure method using mixed modes Qiu, Ji-Bao; Williams, F. W.; Qiu, Ren-Xi Journal of Sound and Vibration, Vol. 266, Issue 4 https://doi.org/10.1016/s0022-460x(02)01320-2	journal	September 2003
Multiple-Input Multiple-Output (MIMO) Linear Systems Extreme Inputs/Outputs Smallwood, David O. Shock and Vibration, Vol. 14, Issue 2 https://doi.org/10.1155/2007/701837	journal	January 2007
The Study on Free Vibration of Elastically Restrained Beams Carrying Various Types of Attachments with Arbitrary Spatial Distributions Xiao, Heye; sheng, Meiping; Liu, Zhihong Shock and Vibration, Vol. 20, Issue 3 https://doi.org/10.1155/2013/983451	journal	January 2013
Dynamic Behavior of Supported Structures from Free-Free Modal Tests Using Structural Dynamic Modification Ismael, G.; López-Aenlle, M.; Pelayo, F. Shock and Vibration, Vol. 2018 https://doi.org/10.1155/2018/3130292	journal	December 2018
Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures Mignolet, Marc P.; Soize, Christian; Avalos, Javier AIAA Journal, Vol. 51, Issue 6 https://doi.org/10.2514/1.j051555	journal	June 2013
Solid Friction Damping of Mechanical Vibrations Dahl, Philip R. AIAA Journal, Vol. 14, Issue 12 https://doi.org/10.2514/3.61511	journal	December 1976
A comparative study of metrics for modal pre-test sensor and actuator selection using the JPL/MPI testbed truss Larson, C.; Zimmerman, D.; Marek, E. Dynamics Specialists Conference https://doi.org/10.2514/6.1994-1689	conference	August 1994
Structural dynamics test simulation and optimization for aerospace components Klenke, S.; Baca, T. Test and Evalution International Aerospace Forum https://doi.org/10.2514/6.1996-3345	conference	August 1996
Coupling of substructures for dynamic analyses - An overview Craig, Jr., Roy 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, 41st Structures, Structural Dynamics, and Materials Conference and Exhibit https://doi.org/10.2514/6.2000-1573	conference	August 2000
Ground vibration test planning and pre-test analysis for the X-33 vehicle Bedrossian, Herand; Tinker, Michael; Hidalgo, Homero 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, 41st Structures, Structural Dynamics, and Materials Conference and Exhibit https://doi.org/10.2514/6.2000-1586	conference	August 2000

Similar Records

Core restraint design for inherent safety

Conference · Thu Dec 31 23:00:00 EST 1987 · OSTI ID:7242641

Input estimation from measured structural response

Conference · Wed Dec 31 23:00:00 EST 2008 · OSTI ID:971283

Suggestions for the analysis of pipe whip restraints in nuclear power plants

Conference · Thu Nov 30 23:00:00 EST 1972 · OSTI ID:4387461

Related Subjects

42 ENGINEERING
Acceleration
Boundary Conditions
Finite Elernent
Transfer Function
Vibration

Transforming a Simple Structure Model to Represent a Complex Dynamic System with Unknown Boundary Restraints

Citation Formats

References (21)

Similar Records

Related Subjects