This paper describes relationships between the vibrational properties
and the volume fraction of bundle sheath (V-f) of bamboo. The cylinder
wall of bamboo consists of a bundle sheath and a parenchyma. The shap
e and distribution of bundle sheath change in the radial direction of
the cylinder, so that the cylinder walls of mousouchiku (Phyllostachys
pubescens Mazel) and madake (P. reticulata C. Koch) were divided into
three layers and two layers in the radial direction, respectively. V-
f increased from the inner layer toward the outer layer over a range o
f 0.10-0.45. The density (rho), dynamic elastic modulus (E') and dynam
ic loss modulus (E '') increased with an increase in V-f, whereas the
loss tangent (tan delta) decreased. Very high linear relationships exi
sted between V-f and these propertises. rho, E' and E '' for madake we
re a little larger than those for mousouchiku, and tan ic for madake w
as less than that for mousouchiku. The ratio of measured value to the
one calculated from those of the above linear relationships ranged fro
m 0.9 to 1.1. The structure of the cylinder wall in the longitudinal d
irection was expressed simply by a parallel model which consisted of a
bundle sheath and a parenchyma. rho and the vibrational properties of
each tissue were calculated from mixture rules based on this model an
d those above linear relationships, with the results that rho and the
vibrational properties were very different between bundle sheath and p
arenchyma. rho and E '' for bundle sheath were about four times those
of parenchyma, E' was 40-80 times, and the specific dynamic modulus (E
'/rho) was 10-20 times as much. On the other hand, the specific loss m
odulus (E ''/rho) for parenchyma was almost equal to that of bundle sh
eath, and tan delta for parenchyma was 10-20 times as much as that of
bundle sheath. From the above results, it was concluded that the vibra
tional properties in the longitudinal direction of bamboo were much de
pendent on V-f, and the bundle sheath showed elastic behavior, while t
he parenchyma had more viscose behavior.