Affiliation:
1. Department of Civil Engineering, National Cheng Kung University, Tainan City 70101, Taiwan
Abstract
This work develops a three-dimensional (3D) weak formulation, based on the consistent couple stress theory (CCST), for analyzing the size-dependent dynamic instability behavior of simply-supported, functionally graded (FG) cylindrical microshells that are subjected to combinations of periodic axial compression and external pressure. In our formulation, the microshells are artificially divided into nl layers. The displacement components of each individual layer are selected as the primary variables, which are expanded as a double Fourier series in the in-plane domain and are interpolated with Hermitian C2 polynomials in the thickness direction. Incorporating the layer-wise displacement models into our weak formulation, we develop a Hermitian C2 finite layer method (FLM) for addressing the current issue. The accuracy and the convergence rate of our Hermitian C2 FLM are validated by comparing the solutions it produces with the accurate two-dimensional solutions of critical loads and critical pressures of FG cylindrical macroshells and single-walled carbon nanotubes, which were reported in the literature. The numerical results show the effects of the material length-scale parameter, the inhomogeneity index, the radius-to-thickness and length-to-radius ratios, the load magnitude ratio, and the static and dynamic load factors on the first principal and first secondary instability regions of parametric resonance of simply-supported FG cylindrical microshells are significant.
Funder
National Science and Technology Council of the Republic of China
Reference51 articles.
1. FGM activities in Japan;Koizumi;Compos. Part B,1997
2. Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A., and Ford, R.G. (1999). Functionally Graded Materials: Design, Proceeding and Applications, Kluwer Academic.
3. Shen, H.S. (2009). Functionally Graded Materials, Nonlinear Analysis of Plates and Shells, CRC Press.
4. Wu, C.P., and Li, K.W. (2021). Multi-objective optimization of functionally graded beams using a genetic algorithm with non-dominated sorting. J. Compos. Sci., 5.
5. Optimization of material composition to minimize the thermal stresses induced in FGM plates with temperature-dependent material properties;Ding;Int. J. Mech. Mater. Des.,2018
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献