Axially moving thin-walled structures exposed to sudden external thermal loads may
experience severe vibrations. For accurate predictions of the thermally induced
vibrations, this paper develops a spectral element model for the axially moving
beam-plates subjected to sudden external thermal loads. The spectral element model
is formulated from the frequency-dependent dynamic shape functions which satisfy
the governing equations in the frequency domain. Thus, when compared with the
conventional finite element model in which simple polynomials are used as the shape
functions, the spectral element model provides exact solutions by treating a
whole uniform structure member as a single finite element, regardless of its
length. Numerical studies are conducted to evaluate the present spectral
element model and also to investigate the dynamic characteristics of an
axially moving beam-plate subjected to a sudden thermal load on its upper
surface.
Keywords
Thermally induced vibration, beam-plate, axially moving
structure, spectral element model, spectral element
analysis, dynamic characteristics