TY - GEN
T1 - Reduced order modelling in nonlinear mechanical oscillators with energy pumping
AU - Ma, Xianghong
AU - Vakakis, Alexander F.
AU - Bergman, Lawrence A.
PY - 2005
Y1 - 2005
N2 - Energy pumping in nonlinear mechanical oscillators has been discovered and studied in mechanical systems consisting of weakly coupled, linear and nonlinear components [1-3]. In this paper this phenomenon is further studied and numerically verified on an 11 degree of freedom system. It also presents a technique to create low dimensional models for energy pumping systems using the Karhunen-Loeve (K-L) decomposition method. It is shown that energy pumping can be identified from the dominant K-L modes. The low dimensional models are used to reconstruct the system responses. From the comparisons between the reconstructed and simulated response, we can see that the K-L mode-based low-dimensional model can represent the system responses; it can be used for monitoring, diagnosis and control purposes.
AB - Energy pumping in nonlinear mechanical oscillators has been discovered and studied in mechanical systems consisting of weakly coupled, linear and nonlinear components [1-3]. In this paper this phenomenon is further studied and numerically verified on an 11 degree of freedom system. It also presents a technique to create low dimensional models for energy pumping systems using the Karhunen-Loeve (K-L) decomposition method. It is shown that energy pumping can be identified from the dominant K-L modes. The low dimensional models are used to reconstruct the system responses. From the comparisons between the reconstructed and simulated response, we can see that the K-L mode-based low-dimensional model can represent the system responses; it can be used for monitoring, diagnosis and control purposes.
UR - http://www.scopus.com/inward/record.url?scp=33144480883&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33144480883&partnerID=8YFLogxK
U2 - 10.1115/detc2005-85214
DO - 10.1115/detc2005-85214
M3 - Conference contribution
AN - SCOPUS:33144480883
SN - 0791847381
SN - 9780791847381
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
SP - 1925
EP - 1931
BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005
PB - American Society of Mechanical Engineers
T2 - DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Y2 - 24 September 2005 through 28 September 2005
ER -