WAVE ANALYSIS OF A L-BEAM STRUCTURE WITH A BLOCKING MASS
Johnny Tiu1* and Richard Bachoo2
1,2Faculty of Engineering, The University of the West Indies, Trinidad
1Email: johnny.tiu@sta.uwi.edu *(Corresponding author)
2Email: richard.bachoo@sta.uwi.edu
Abstract:
The wave vibration approach regards the vibrations present within a structure as waves, whereby each wave flows along a structural member and upon meeting a discontinuity; portions of the incident wave are reflected and transmitted across the discontinuity. The reflected, transmitted and propagating wave transformations are represented mathematically by matrices, which are used to develop a set of wave relation equations at each discontinuity that can be used to describe the frequency response of the system holistically. This method creates a systematic approach of analysing structures by utilizing common cases as building blocks for a specific structure. The L-joint, described as two beams meeting at right angles; is a ubiquitous case for spatial portal and structural frames, which may become geometrically complex. Such structures are well suited to a wave vibration approach due to the large number of geometric changes and the prevalence as well as recurrence of specific cases. In this paper, the L-joint expanded to include a blocking mass, typically employed in structural systems and allows for the isolation and reflection of vibration away from contiguous structural elements. Included are; variance of transmission and reflection matrix components as the size of the blocking mass increases, numerical examples and comparison to a Finite Element Model developed in ANSYS.
Keywords: Blocking mass, L-joint, Wave vibration approach, Timoshenko beam.
https://doi.org/10.47412/EWGF2313
