Dynamic analysis of functionally graded truncated conical shells subjected to asymmetric moving loads |
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Affiliation: | 1. Department of Mechanical Engineering, Faculty of Engineering, Hiroshima Kokusai Gakuin University, 20-1 Nakano, 6-Chome, Aki-ku, Hiroshima 739-0321, Japan;2. Department of Mechanical Engineering, College of Science and Engineering, Ritsumeikan University, 1-1-1 Noji-higasi, Kusatu-shi, Shiga 525-8577, Japan;1. BLK 301, #09-64 Jurong East Street 32, Singapore 600301, Singapore;2. Department of Innovation Engineering, University of Salento, Via per Monteroni, 73100 Lecce, Italy;3. DICAM – Department of Civil, Chemical, Environmental and Materials Engineering, University of Bologna, Viale del Risorgimento, 2, 40136 Bologna, Italy;1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, PR China;2. College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing, 100192, PR China;1. Advanced Materials and Structures Laboratory, VNU-Hanoi, University of Engineering and Technology, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam;2. Centre for Informatics and Computing (CIC), Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet - Cau Giay, Hanoi, Vietnam;3. Department of Infrastructure Engineering, The University of Melbourne, Parkville 3010, VIC, Australia;4. Military Academy of Logistics, Ngoc Thuy, Long Bien, Hanoi, Vietnam |
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Abstract: | The dynamic behavior of functionally graded (FG) truncated conical shells subjected to asymmetric internal ring-shaped moving loads is studied. The material properties are assumed to have continuous variations in the shell thickness direction. The equations of motion are derived based on the first-order shear deformation theory (FSDT) using Hamilton?s principle. The finite element method (FEM) together with Newmark?s time integration scheme is employed to discretize the equations of motion in the spatial and temporal domain, respectively. The formulation and method of solution are validated by studying their convergence behavior and carrying out the comparison studies in the limit cases with existing solutions in the literature. Then, the influences of material graded index, radius-to-length ratio, semi-vertex angle, thickness, boundary conditions and moving load velocity on the dynamic behavior of the FG truncated conical shells are studied. In addition, the difference between the responses of the FG shells under symmetric and asymmetric loadings is compared. |
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Keywords: | Truncated conical shells Functionally graded materials Dynamic analysis Moving load First-order shear deformation theory |
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