Abstract
The dynamics of space structures is significantly impacted by the presence of power and electronic cables. Robust physical model is essential to investigate how the host structure dynamics is influenced by cable harnessing. All the developed models only considered the decoupled bending motion. Initial studies by authors point out the importance of coordinate coupling in structures with straight longitudinal cable patterns. In this article, an experimentally validated mathematical model is developed to analyze the fully coupled dynamics of beam with a more complex cable wrapping pattern which is periodic in nature. The effects of cable wrapping pattern and geometry on the system dynamics are investigated through the proposed coupled model. Homogenization-based mathematical modeling is developed to obtain an analogous solid beam that represents the cable wrapped system. The energy expressions obtained for fundamental repeating segment are transferred into the global coordinates consisting of several periodic elements. The coupled partial differential equations (PDE) are obtained for an analogous solid structure. The advantage of the proposed analytical model over the existing models to analyze the vibratory motion of beam with complex cable wrapping pattern has been shown through experimental validation.
Highlights
Modern day space structures consist of a significant amount of cabling owing to the increased electrical components
Goodding et al [2, 3] studied cabled beams by modeling the beam and cable using Euler-Bernoulli (EB) assumptions. They performed experimental investigations on a serpentine configuration where the cable is attached in the shape of a sine wave on top of a beam structure. ese studies explained the importance of developing an accurate mathematical representation. e accurate prediction of the vibration characteristics for the cabled structure gives better estimates of the control system performance
We have developed an analytical model that considers a further complex cable attachment pattern to study the coupling effects along with experimental validation. e current research fills a gap in the literature as the previous work done by Martin el al. [13] on the periodic cable wrapping patterns did not include the coupling effect due to cable attachment. e main contribution of this article is to demonstrate the advantage of coupling effects in periodic wrapped structures. is will allow for further optimization of the system’s dynamics when minimizing the cables’ dynamic effects on a host beam structure
Summary
Modern day space structures consist of a significant amount of cabling owing to the increased electrical components. Reference [4] models the structure using EB theory and studied the pure transverse modes of cable-harnessed beam. We have developed an analytical model that considers a further complex cable attachment pattern to study the coupling effects along with experimental validation.
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