Abstract
A model of vibration transmission through junctions of one-dimensional frame members has been developed. The formulation is flexible in allowing from two to four frames at the junction where the frames lie in the same plane and intersect each other at 90° orientations. The extension to arbitrary orientations in the same plane was derived and the approach for arbitrary orientations in three dimensions is suggested. The model allows for torsional, longitudinal, and bending deformation about two axes. When the frames all lie in the same plane a decomposition into in-plane and out-of-plane motions occurs that simplifies the solution procedure. Calculations for a frame construction representative of helicopter airframes indicate that out-of-plane bending and in-plane longitudinal motion are strongly transmitted across frame junctions. Torsion and in-plane bending are more weakly transmitted. The effect of junction asymmetries in producing transmission into otherwise unexcited motions is pointed out.
Published Version
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