Vf. Jakubauskas et Ds. Weaver, TRANSVERSE VIBRATIONS OF BELLOWS EXPANSION JOINTS - PART-II - BEAM MODEL DEVELOPMENT AND EXPERIMENTAL-VERIFICATION, Journal of fluids and structures, 12(4), 1998, pp. 457-473
A theoretical model is developed for the transverse vibrations of bell
ows expansion joints. The model is based on Timoshenko beam theory and
includes the added mass effect of an internal fluid. An analytical ex
pression for bellows natural frequencies is developed in the form of a
Rayleigh quotient and is presented in a way which is suitable for han
d calculations. The results for the first four transverse modes are co
mpared with experiments as well as the predictions of the simplified a
nalysis of the Expansion Joint Manufacturers Association (EJMA). While
the present analysis agrees well with experiments, the EJMA approach
can be substantially in error due to its neglect of rotary inertia and
the convolution distortion component of fluid added mass. (C) 1998 Ac
ademic Press.