TY - GEN
T1 - Component-mode-based Monte Carlo simulation for efficient probabilistic vibration analysis
AU - Lee, Soo Yeol
AU - Castanier, Matthew P.
AU - Pierre, Christophe
PY - 2006
Y1 - 2006
N2 - In this paper, component-mode-based implementations of Monte Carlo simulation (MCS) are presented for efficient probabilistic vibration analysis of complex structures with parameter uncertainties. First, a substructuring technique is used to generate reduced-order models of low- to mid-frequency vibration and power flow. The reduced-order model (ROM) is generated using component mode synthesis of finite element models, followed by a secondary modal analysis to reduce the number of degrees of freedom associated with the substructure interfaces. This formulation allows for efficient and accurate prediction of vibration transmission in complex structural systems. Then, the response is approximated over an uncertainty space to study the statistics of the power flow for a structure with parametric uncertainties. Two MCS techniques that employ first-order approximations of the ROMs are presented: (1) a nominal-ROM-based MCS for a case with many component-mode interactions over the uncertainty space, and (2) a mode-based MCS for a case with a few component-mode interactions. An iterative maximum search procedure is presented, which is used to find the upper bound of the power flow at a specific frequency. For the second MCS approach, this iterative procedure is also extended to yield various statistical properties of the response in addition to the upper bound. These statistical approximations of vibration power flow are demonstrated for two example structures, a reinforced L-shaped plate and a stiffened plate.
AB - In this paper, component-mode-based implementations of Monte Carlo simulation (MCS) are presented for efficient probabilistic vibration analysis of complex structures with parameter uncertainties. First, a substructuring technique is used to generate reduced-order models of low- to mid-frequency vibration and power flow. The reduced-order model (ROM) is generated using component mode synthesis of finite element models, followed by a secondary modal analysis to reduce the number of degrees of freedom associated with the substructure interfaces. This formulation allows for efficient and accurate prediction of vibration transmission in complex structural systems. Then, the response is approximated over an uncertainty space to study the statistics of the power flow for a structure with parametric uncertainties. Two MCS techniques that employ first-order approximations of the ROMs are presented: (1) a nominal-ROM-based MCS for a case with many component-mode interactions over the uncertainty space, and (2) a mode-based MCS for a case with a few component-mode interactions. An iterative maximum search procedure is presented, which is used to find the upper bound of the power flow at a specific frequency. For the second MCS approach, this iterative procedure is also extended to yield various statistical properties of the response in addition to the upper bound. These statistical approximations of vibration power flow are demonstrated for two example structures, a reinforced L-shaped plate and a stiffened plate.
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U2 - 10.2514/6.2006-1990
DO - 10.2514/6.2006-1990
M3 - Conference contribution
AN - SCOPUS:34147204078
SN - 1563478080
SN - 9781563478086
T3 - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
SP - 4832
EP - 4844
BT - Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
T2 - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Y2 - 1 May 2006 through 4 May 2006
ER -