摘要

A wave-based analytical method is applied to study vibrations in simple spatial structures. From the wave vibration standpoint, vibrations are described as waves propagating along uniform structural elements and being reflected and transmitted at structural discontinuities. Coupled in- and out-of-plane bending, axial, and torsional vibrations are studied based on classical vibration theories. Both free and forced vibrations are studied. Natural frequencies, modeshapes, as well as frequency responses due to various external excitations are obtained. The results obtained using the wave vibration approach are verified both experimentally and through comparison to results available in the literature. Good agreements have been reached. This study provides not only exact analytical solutions to complex vibration problems in spatial structures that have mostly been relying on numerical tools, but also a benchmark to existing numerical solutions.

  • 出版日期2016-10