Bifurcation analysis of a doubly curved thin shell considering inertial effects

Springer International Publishing
Publication Type:
Vibration Engineering for a Sustainable Future: Numerical and Analytical Methods to Study Dynamical Systems, 2021, 3
Issue Date:
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Thin-elastic structures can be found in nature as well as in many technical applications, including plant material (leaves) or insect appendages (wings) and aircraft outer bodies, optical mirrors and membranes, solar panels or satellite antennas. Numerical modelling of those structures is commonly conducted using shell elements. Especially doubly curved shells have found much attention due to their applicability in thin shell or sandwich structures used in the automotive, aerospace and space industry. In the design process it is generally assumed that these structures behave linearly, however, considering their curvature and how thin they are, large deflections easily become an issue as shown experimentally. Yet, the numerical modelling does conventionally assume that inertia e ffects can be neglected. Here we derive the equations of motion of a simply supported configuration of a doubly curved shell with 9 degrees of freedom with and without inertial coupling terms. We show by conducting a bifurcation analysis that the additional inertia e ects cannot be neglected and that care has to be taken when structures as such are being employed as appendages on real-life satellites.
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