TY - JOUR
T1 - The polynomial dimensional decomposition method in a class of dynamical system with uncertainty
AU - Lu, Kuan
AU - Hou, Lei
AU - Chen, Yushu
N1 - Publisher Copyright:
©JVE INTERNATIONAL LTD. VIBROENGINEERING PROCEDIA.DEC 2016.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - In this paper, polynomial dimensional decomposition (PDD) method is applied to study the dynamical model for the first time. PDD method can reserve the amplitude-frequency characteristics of the exact solution which is obtained by the Monte Carlo simulation (MCS) method except the frequency close to the resonance, the perturbations appear around the resonance frequency. All these results are shown on the two degrees of freedom (DOF) spring system with uncertainties; the dynamical characteristics of stiffness and hybrid uncertainty uncertainty are studied in seven cases respectively. The higher PDD order approximates better to the MCS results.
AB - In this paper, polynomial dimensional decomposition (PDD) method is applied to study the dynamical model for the first time. PDD method can reserve the amplitude-frequency characteristics of the exact solution which is obtained by the Monte Carlo simulation (MCS) method except the frequency close to the resonance, the perturbations appear around the resonance frequency. All these results are shown on the two degrees of freedom (DOF) spring system with uncertainties; the dynamical characteristics of stiffness and hybrid uncertainty uncertainty are studied in seven cases respectively. The higher PDD order approximates better to the MCS results.
KW - Dynamical characteristic
KW - Monte carlo simulation
KW - Order reduction
KW - Polynomial dimensional decomposition
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=85010858905&partnerID=8YFLogxK
M3 - 会议文章
AN - SCOPUS:85010858905
SN - 2345-0533
VL - 10
SP - 58
EP - 63
JO - Vibroengineering Procedia
JF - Vibroengineering Procedia
T2 - 24th International Conference on Vibroengineering
Y2 - 7 December 2016 through 8 December 2016
ER -