Investigation of Dynamic Characteristics of Imperfect FG Beams on the Winkler–Pasternak Foundation under Thermal Loading

Physical Mesomechanics - Tập 26 - Trang 557-572 - 2023
S. Abdelbari1, A. Attia1, F. Bourada2,3, A. A. Bousahla4, A. Tounsi2,5,6,7, M. H. Ghazwani8
1Department of Civil Engineering, Faculty of Science and Technology, University of Ain Temouchent, Ain Temouchent, Algeria
2Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
3Department of Sciences and Technology, Tissemsilt University, Ben Hamouda, Algeria
4Laboratory of Multiscale Modeling and Simulation, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
5Yonsei Frontier Laboratory, Yonsei University, Seoul, South Korea
6Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Eastern Province, Saudi Arabia
7Interdisciplinary Research Center for Construction and Building Materials, King Fahd University of Petroleum & Minerals, Dhahran, Eastern Province, Saudi Arabia
8Department of Mechanical Engineering, Faculty of Engineering, Jazan University, Jazan, Saudi Arabia

Tóm tắt

The interest of the present paper is the analysis of free vibration of imperfect functionally graded (FG) beams resting on foundations (with two elastic parameters). The FG beam is made of temperature-dependent metal (Al)/ceramic (Al2O3) material, which is graded in the thickness direction and subjected to various thermal loads (uniform and nonuniform). The appearance of microvoids is considered as porosity in the body structure. Two models of the symmetric porosity distribution are examined. The studied one-dimensional (1D) structure is modeled by employing simple three-variable higher-order integral formulations. Zero traction on the free surface of the 1D structure is gained by using the sinusoidal warping function in the current model, which avoids correction factors. Analytical modeling of structures is carried out using the Hamilton principle and Navier approach to derive the equations of motion and the analytical solution of the current model. Several examples of the free vibration analysis are presented in graphical and tabular forms. A detailed parametric analysis is performed to illustrate the impact of several beam parameters, such as dimensions, inhomogeneity and porosity indices, as well as of the foundation reaction on the fundamental frequency of imperfect FG beams.

Tài liệu tham khảo

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