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Structural Engineering and Mechanics Volume 91, Number 3, August10 2024 , pages 291-300 DOI: https://doi.org/10.12989/sem.2024.91.3.291 |
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Combined resonance of axially moving truncated conical shells in hygro-thermal environment |
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Zhong-Shi Ma and Gui-Lin She
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| Abstract | ||
| This paper predicts the combined resonance behavior of the truncated conical shells (TCSs) under transverse and parametric coupled excitation. The motion governing equation is formulated in the framework of high-order shear deformation theory, von Kármán theory and Hamilton principle. The displacements and boundary conditions are characterized by a set of displacement shape functions with double Fourier series. Subsequently, the method of varying amplitude (MVA) is utilized to derive the approximate analytical solution of system response of TCSs. A comparative analysis is conducted to verify the accuracy of the current computational method. Additionally, the interaction mechanism of combined resonance, parametric resonance and primary resonance is examined. And the effect of damping coefficient, the external excitation, initial phase, axial motion speed, temperature variation, humidity variation, material properties and semi-vortex angle on the vibration mechanism are analyzed. | ||
| Key Words | ||
| functionally graded material; hygro-thermal environment; the method of varying amplitude; truncated conical shell | ||
| Address | ||
| Zhong-Shi Ma and Gui-Lin She: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China | ||