From a practical engineering point of view, there is interest in understand
ing the influences of small curvatures on the modal characteristics of a pl
ate-shell combination. However, research reports in this area are rarely fo
und in literature. This paper is the first one to study the influences of s
mall curvatures on free vibration of a plate-shell combined structure, cons
isting of a circular barrel-like shell and two spherically curved end plate
s, using the line receptance concepts and approximate frequency equations o
f barrel-shaped shell and spherically curved prate. It illustrates in detai
l information about natural frequencies and mode shapes of the combined str
ucture under different geometric configurations. Consequently, it provides
useful information for setting up criteria for designing hermetic prate-she
ll joined structures, such as the hermetic shell of a refrigeration compres
sor. The receptance method, which is basically a component mode synthesis t
echnique, is adopted as the solution procedure in this study. It predicts t
he responses and frequencies of a combined system in terms of the responses
and frequencies of its subsystems. This technique, for cases to which it c
an be applied successfully, is a powerful tool in creating an understanding
of the physics of combined structures. (C) 2000 Academic Press.