Cs. Manohar et S. Adhikari, STATISTICS OF VIBRATION ENERGY-FLOW IN RANDOMLY PARAMETERED TRUSSES, Journal of sound and vibration, 217(1), 1998, pp. 43-74
The problem of determining the ensemble averages of vibration energy f
low in harmonically driven trusses with random parameter variations is
considered. The mass, elasticity, damping and length of the truss mem
bers are modelled as random variables. The uncertainty associated with
member lengths result in randomness in truss geometry. Four different
linear damping models for truss members, namely, strain rate dependen
t viscous/hysteretic models and velocity dependent viscous/hysteretic
models are considered. The analysis employs random dynamic stiffness m
atrices and Monte Carlo simulation procedures. A comparison of the ens
emble averages of subsystem energies obtained using this approach and
those using statistical energy analysis (SEA) formalism is also made.
The energy coefficient matrix arising in SEA studies is determined usi
ng the direct dynamic stiffness matrix approach. The paper illustrates
the relative importance of alternative damping models and alternative
sources of system randomness on the behavior of spectra of subsystem
vibration energies in a 13-member truss. The uncertainties in randomne
ss in truss geometry and the choice of damping model are shown to sign
ificantly affect the energy statistics. (C) 1998 Academic Press.