Abstract
The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. Based on the case of 1 : 2 internal resonance and principal resonance-1/2 subharmonic parametric resonance, the multiscale method of perturbation analysis is employed to precisely acquire the four-dimensional nonlinear averaged equations. From the resonant response analysis and nonlinear dynamic simulation, we discovered that the unstable regions of stiffened cylindrical shells can be narrowed by decreasing the external excitation or increasing the magnetic intensity, and their working frequency range can be expanded by reducing the in-plane excitation. Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. The presented approach in this paper can provide an efficient analytical framework for nonlinear dynamics theories of stiffened cylindrical shells and will shed light on complex structure design in vibration test engineering.
Highlights
With the remarkable development of astronautic science and technology, the advanced and large-thrust electrodynamic vibration shakers are needed to simulate the actual working conditions and test the structural vibration performance [1,2,3]
During operations of vibration shaker, due to the large deformation and structural torsion induced by electromagnetic environment, unstable nonlinear dynamic behaviors such as bifurcation and chaos may appear in armature structure, which will produce vibration waveform deviations and considerably reduce the test accuracy. erefore, effective nonlinear vibration analysis for armature structures to satisfy the test accuracy becomes increasingly important in space engineering
The nonlinear vibration analysis for stiffened cylindrical shells subjected to electromagnetic excitations, transverse excitations, and in-plane excitations is studied for the first time
Summary
With the remarkable development of astronautic science and technology (i.e., space station, spacecraft, satellite, and rocket), the advanced and large-thrust electrodynamic vibration shakers are needed to simulate the actual working conditions and test the structural vibration performance [1,2,3]. During operations of vibration shaker, due to the large deformation and structural torsion induced by electromagnetic environment, unstable nonlinear dynamic behaviors such as bifurcation and chaos may appear in armature structure, which will produce vibration waveform deviations and considerably reduce the test accuracy. Erefore, effective nonlinear vibration analysis for armature structures to satisfy the test accuracy becomes increasingly important in space engineering. For armature structures operating in an electromagnetic environment (as shown in Figure 1), complex geometric configurations exist and are subjected to transverse excitations, in-plane excitations, and electromagnetic excitations [6,7,8]. Few studies have been performed on revealing the nonlinear vibrations of armature structures under electromagnetic environment, which greatly limits the development of highaccuracy vibration test equipment.
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