Homogenization Modeling of Periodically Wrapped String-Harnessed Beam Structures: Experimental Validation

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

“…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.…”

Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams

“…A simple way to account for the dynamic effects of these additional components is to use ad hoc models that account for the additional mass and stiffness of the cables on the host structure. Previous works by the authors include development of more complex mathematical techniques to include the local stiffening effects of these additive components using homogenization techniques [1][2][3][4][5][6]. The main underlying assumption behind these works includes the geometric periodicity and a repeated pattern for the cables harnessing the host structure, which is necessary for employing a homogenization technique.…”

“…The result is a method that overcomes the need for specific geometries and does not require periodicity or continuity in the system. Future work includes applying the developed approximation technique to more complex geometries, such as cable-harnessed structures discussed in [1][2][3][4][5][6]. …”