Superharmonic resonance analysis of a grid stiffened truncated conical shell subjected to external transverse force

Authors

1 Faculty of Mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran

2 Faculty of Mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran.

Abstract

In this research, secondary superharmonic frequency analysis of a truncated conical shell, reinforced with stringer and ring stiffeners, under external load is presented. The stiffened shell is subjected to the transverse harmonic external load and the nonlinear governing equations of motion are extracted. Using Donnell-Mushtari-Vlasov theory and Airy stress function, the governing differential equations of motion, which are a system of coupled nonlinear partial different equations, are obtained. The nonlinear Galerkin method along with homotopy perturbation method (HPM) have been applied to solve the equations of motion. A parameter study is performed to show the effects of the various parameters, such as conic apex angle, thickness of the shell, number of rings and stringers, on the frequency responses of secondary resonances. Based on the results, increase of the number of stringers and increase of the shell thickness cause a deviation of frequency response to the right which indicates an increase in the amount of the rigidity of the structure. Further, increase of the number of rings leads to the deviation of frequency response to the left which reveals the reduction in the value of the rigidity of the stiffened shell.

Keywords

References

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Journal of Solid and Fluid Mechanics
Volume 10, Issue 4
December 2021
Pages 111-123

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