TY - GEN
T1 - APPROXIMATIONS OF POWER FLOW BETWEEN TWO COUPLED BEAMS USING STATISTICAL ENERGY METHODS
AU - Tan, Y. C.
AU - Castanier, M. R.
AU - Pierre, C.
N1 - Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1998
Y1 - 1998
N2 - The present work is concerned with predicting the power flow between two coupled substructures with parameter uncertainties. The power flow is averaged over an ensemble of systems due to the variation of the system parameters. The ultimate aim is to develop a statistical method which may be applied to the mid-frequency range of vibration for a complex structure. The system considered in this paper is two coupled, nominally identical beams on simple supports, with a torsional spring attached at the coupling point. Various methods are presented to calculate the power flow for this system. The Parameter-based Statistical Energy Method (PSEM) is applied to a classical modal solution and a wave solution. The wave approach appears to be more accurate and computationally efficient for this one-dimensional system. The power flow formulated by applying Component Mode Synthesis (CMS) is also presented. It is seen that the CMS formulation may provide a framework for the efficient numerical analysis of power flow in a general complex structure, which may be modeled by the finite element method.
AB - The present work is concerned with predicting the power flow between two coupled substructures with parameter uncertainties. The power flow is averaged over an ensemble of systems due to the variation of the system parameters. The ultimate aim is to develop a statistical method which may be applied to the mid-frequency range of vibration for a complex structure. The system considered in this paper is two coupled, nominally identical beams on simple supports, with a torsional spring attached at the coupling point. Various methods are presented to calculate the power flow for this system. The Parameter-based Statistical Energy Method (PSEM) is applied to a classical modal solution and a wave solution. The wave approach appears to be more accurate and computationally efficient for this one-dimensional system. The power flow formulated by applying Component Mode Synthesis (CMS) is also presented. It is seen that the CMS formulation may provide a framework for the efficient numerical analysis of power flow in a general complex structure, which may be modeled by the finite element method.
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U2 - 10.1115/IMECE1998-0543
DO - 10.1115/IMECE1998-0543
M3 - Conference contribution
AN - SCOPUS:33646834951
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 9
EP - 19
BT - Dynamics, Acoustics and Simulations
T2 - ASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998
Y2 - 15 November 1998 through 20 November 1998
ER -