TY - GEN
T1 - Effects of clearance on normal mode frequencies of a nonsmooth system
AU - Butcher, Eric A.
N1 - Funding Information:
This work was performed at Sandia National Laboratories, a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under Contract DE-AC04-94AL85000. The author is appreciative of helpful comments from Drs. Daniel Segalman and Clark Dohrmann during the preparation of the paper.
Funding Information:
This work was performed at Sandia National Laboratories, a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under Contract DE-ACO4-94AL85000. The author is appreciative of helpful comments from Drs. Daniel Segalman and Clark Dohrmann during the preparation of the paper.
Publisher Copyright:
© 1999 by ASME
PY - 1999
Y1 - 1999
N2 - The effects of a clearance or interference on the normal mode frequencies of a two-dof system with bilinear stiffness and without damping are investigated through various modifications of the bilinear frequency relation. First, the exact bilinear natural frequencies of a single degree-of-freedom system are analytically obtained in terms of the amount of clearance and the strength of nonlinearity, and an equivalent linear system is derived. These results are in turn used to construct three methods which approximate the bilinear frequencies for the 2-dof system in which the resulting approximate frequencies are compared with those obtained from numerical simulations. The results demonstrate how these bilinear normal mode frequencies vary with the magnitude of the clearance/interference and thus point toward the need of including such effects in methods which utilize the bilinear frequency relation.
AB - The effects of a clearance or interference on the normal mode frequencies of a two-dof system with bilinear stiffness and without damping are investigated through various modifications of the bilinear frequency relation. First, the exact bilinear natural frequencies of a single degree-of-freedom system are analytically obtained in terms of the amount of clearance and the strength of nonlinearity, and an equivalent linear system is derived. These results are in turn used to construct three methods which approximate the bilinear frequencies for the 2-dof system in which the resulting approximate frequencies are compared with those obtained from numerical simulations. The results demonstrate how these bilinear normal mode frequencies vary with the magnitude of the clearance/interference and thus point toward the need of including such effects in methods which utilize the bilinear frequency relation.
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U2 - 10.1115/DETC99-VIB-8182
DO - 10.1115/DETC99-VIB-8182
M3 - Conference contribution
AN - SCOPUS:85101080500
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 2039
EP - 2045
BT - 17th Biennial Conference on Mechanical Vibration and Noise
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1999 Design Engineering Technical Conferences, DETC 1999
Y2 - 12 September 1999 through 16 September 1999
ER -