Abstract
We derive a nonlinear initial boundary value problem for a planar multi-tethered spherical aerostat system employing the extended Hamilton’s principle with geometric constraints, along with a single tether limiting case. We numerically investigate a reduced-order modal dynamical system with harmonic incident flow excitation that is obtained for both single and multi-tether configurations, respectively. The resulting frequency responses reveal superharmonic periodic, period-doubled, quasiperiodic and chaotic-like solutions close to a 3:1 internal resonance and certain combination resonances.
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