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Advances in Concrete Construction Volume 15, Number 4, April 2023 , pages 215-228 DOI: https://doi.org/10.12989/acc.2023.15.4.215 |
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Optimization of the cross-section regarding the stability of nanostructures according to the dynamic analysis |
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Qiuyang Cheng, H. Elhosiny Ali and Ibrahim Albaijan
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| Abstract | ||
| The vibrational behavior of nanoelements is critical in determining how a nanostructure behaves. However, combining vibrational analysis with stability analysis allows for a more comprehensive knowledge of a structure's behavior. As a result, the goal of this research is to characterize the behavior of nonlocal nanocyndrical beams with uniform and nonuniform cross sections. The nonuniformity of the beams is determined by three distinct section functions, namely linear, convex, and exponential functions, with the length and mass of the beams being identical. For completely clamped, fully pinned, and cantilever boundary conditions, Eringen's nonlocal theory is combined with the Timoshenko beam model. The extended differential quadrature technique was used to solve the governing equations in this research. In contrast to the other boundary conditions, the findings of this research reveal that the nonlocal impact has the opposite effect on the frequency of the uniform cantilever nanobeam. Furthermore, since the mass of the materials employed in these nanobeams is designed to remain the same, the findings may be utilized to help improve the frequency and buckling stress of a resonator without requiring additional material, which is a cost-effective benefit. | ||
| Key Words | ||
| cross-section effect; dynamic analysis; optimization; stability analysis; truncated conical tubes | ||
| Address | ||
| (1) Qiuyang Cheng: School of Civil, Architecture and Environment, Hubei University of Technology, Wuhan 430068, Hubei, China; (2) H. Elhosiny Ali: Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia; (3) Ibrahim Albaijan: Mechanical Engineering Department, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia. | ||
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