Nonlinear transient response analysis of revolution doubly curved shells

• Published in: Archives of Civil and Mechanical Engineering Vol. 25; no. 3; p. 145
• Main Authors: Fan, Yu-Hao, She, Gui-Lin, Li, Cheng
• Format: Journal Article
• Language: English
• Published: London Springer London 23.04.2025; Springer Nature B.V
• Subjects: Aerospace engineering; Boundary conditions; Civil Engineering; Engineering; Equations of motion; Euler-Lagrange equation; Galerkin method; Geometric nonlinearity; Graphene; Initial geometric imperfections; Investigations; Manufacturing; Marine engineering; Mechanical Engineering; Nonlinear response; Original Article; Resonant frequencies; Runge-Kutta method; Shear deformation; Shell theory; Shells (structural forms); Structural Materials; Submarines; Transient response; Vibration; Vibration analysis; Nonlinear transient response; Spinning; Blast pulse load; Revolution doubly curved shell; Initial geometric imperfection
• ISSN: 2083-3318; 1644-9665; 2083-3318
• DOI: 10.1007/s43452-025-01187-6

At present, the rapid advancements in the high-end manufacturing industry have driven an increasingly urgent demand for corresponding theoretical research. Particularly in the domains of aviation, aerospace, and marine engineering, there is a substantial demand for the application of axisymmetric revolution doubly curved shells. Consequently, further research on these shells needs to be intensified. However, there is almost no research on the nonlinear transient response of revolution doubly curved shells undergoing spinning motion. This paper, for the first time, discusses the transient response characteristics with initial geometric imperfection. First, when establishing the model, the uniform distribution of graphene platelets and porosity distribution are considered. The displacement field is formulated in accordance with the first-order shear deformation shell theory, and the mechanical model is derived by incorporating von Kármán geometric nonlinearity to account for moderate rotational deformations in the shell structure. Then the Euler–Lagrange equation is used to obtain the equations of motion, and the modal function under traditional boundary conditions is introduced. Subsequently, we apply the Galerkin method to reduce the dimensionality. Finally, the corresponding vibration information is obtained using the Runge–Kutta method. In the present study, we first validate the natural frequencies of the model to ensure the rationality and accuracy of the analysis results. In addition, the influence of various parameters on nonlinear vibration behavior is studied in detail.