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Local bifurcation of a circus truss antenna considering the effect of space thermal excitation

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  • Zhang, Xiaohua
  • Zhou, Liangqiang
  • Wang, Juan

Abstract

The local stability and bifurcation of a circus truss antenna under the influence of the thermal excitation are considered using both analytical and numerical methods. On the basis of the obtained four-dimensional averaged equation with 1:2 internal resonance, a kind of eigenvalues of the bifurcation response equation is investigated. By take advantage of the central manifold theory, nonlinear transformation and Routh-Hurwitz criterion, the stable conditions of the equilibrium points are obtained. Finally, the numerical simulations obtained by Runge-Kutta method illustrated the theoretical analysis results.

Suggested Citation

  • Zhang, Xiaohua & Zhou, Liangqiang & Wang, Juan, 2022. "Local bifurcation of a circus truss antenna considering the effect of space thermal excitation," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006476
    DOI: 10.1016/j.chaos.2022.112437
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