Mass and Stiffness Effects of Harnessing Cables on Structural Dynamics: Continuum Modeling

Analytical Study of Coupling Effects for Vibrations of Cable-Harnessed Beam Structures

“…The results are compared to the decoupled Euler Bernoulli model presented in Ref. [23] for the system parameters shown in Table (1). Further, the presented results help better understand the dynamics behind the coupling and its effects.…”

“…Martin et al [18][19][20][21][22][23] developed analytical models along with their experimental validations for cable-harnessed beam structures of periodic cable patterns. In their work, cables are modeled using both bar and string element assumptions.…”

“…Partial Differential Equations (PDEs) that account for cables' mass, stiffness and tension properties on the system's dynamics are developed. In all the developed models in [18][19][20][21][22][23], the out-of-plane bending is of primary interest. The method used employs the homogenization technique for truss structures in [24][25][26][27][28][29] to obtain the PDE's using a linear displacement field through the strain and kinetic energy expressions of a fundamental repeated elements.…”

“…Therefore, a main object of the current work is to extend the studies in [18][19][20][21][22][23] to investigate the effects of coupling induced in the system due to presence of the cables on the host structure. As this paper represents the first attempt by the authors on the coupled vibrations analysis for cable harnessed beams, a simpler pattern geometry for the cable is considered for the current work compared to the previously published work by Martin et.…”

“…As this paper represents the first attempt by the authors on the coupled vibrations analysis for cable harnessed beams, a simpler pattern geometry for the cable is considered for the current work compared to the previously published work by Martin et. al [18][19][20][21][22][23] . The presented work extends the assumptions of the model that is previously used to study uni-dimensional vibrations in the out-of-plane bending direction to account for the coupling between various coordinates of vibrations such as in-plane bending, out-of-plane bending, torsion and the axial modes.…”