Abstract
Our work aims to find a general solution for the vibrational energy flow through a plane network of beams on the basis of an energy flow analysis. A joint between two semi-infinite beams are modeled by three sets of springs and dashpots. Thus, the results can incorporate the case of complaint and non-conservative in all the three degrees of freedom. In the cases of finite coupled structures connected at a certain angle, the derived non-conservative joints and developed wave energy equation were applied. The joint properties, the frequency, the coupling angle, and the internal loss factor were changed to evaluate the proposed methods for predicting medium-to-high frequency vibrational energy and intensity distributions.
Highlights
Many engineering structures are made up from elements, such as rods, beams, membranes and plates, which are joined together either by rivets, bolts or welds
To improve the weakness of statistical energy analysis (SEA) in high frequency range and to overcome the limit of frequency of the finite element method (FEM) and boundary element method (BEM), some alternative methods have been investigated by many researchers
Energy flow analysis (EFA) method has been considered appropriate to the vibration analysis in the middle frequency range in which the FEM, BEM and SEA are not proper to be applied
Summary
Many engineering structures are made up from elements, such as rods, beams, membranes and plates, which are joined together either by rivets, bolts or welds. EFA method is based on an energy governing equation analogous to the heat conductivity equation, of which primary variable is energy density Using this method at high frequencies, the spatial variation of the time- and locally space-averaged vibration energy density and energy transmission paths in a structure can be effectively predicted. Most EFAs have been developed and applied to model the dynamics of assembled structures, such as rods, beams, membranes and plates, based on the assumption of rigid joints. The aim of this work is to develop adequate non-conservative joint modeling technique that can be used to predict the vibrational energy and intensity distribution of beam structures vibrating in medium-to-high frequency ranges. Before flexural and longitudinal power transmission and reflection coefficients can be derived, an expression for the time-averaged power in a beam must be obtained. The dissipation coefficient (ζ) is the ratio of the dissipated to the incident power
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