Development of a Novel Beam Model and Its Dynamic Characteristics |
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| Authors: | Chunfeng Wan Rong Chen Songtao Xue Zhishen Wu |
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| Affiliation: | 1. Key Laboratory of C&2. PC Structure of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing, China;3. Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai, China;4. Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai, China;5. Department of Architecture, Tohoku Institute of Technology, Sendai, Miyagi, Japan |
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| Abstract: | Rotatory inertia due to the shear deformation is usually neglected for all engineering beam models. This article, however, introduces a novel beam model that further considers the rotatory inertia caused by the shear deformation, based on the Timoshenko beam model. The equation of motion for the proposed beam model is derived. Its dynamic characteristics, including wave and vibration characteristics, are studied in detail. Numerical simulations are conducted and related issues are discussed. It is found that the improvement is negligible when the wave number or vibration order is small for thin beams. However, the improvement is evident when the wave number or vibration intensity is fairly large for thick beams. This research finding reveals that only one frequency spectrum, one set of the wave phase velocities, and one set of group velocities should be considered in Timoshenko-type beams. This finding can help settle the debate in the literature on how many frequency spectra should be considered for these analyses. This research study shows that the proposed new beam model is more reasonable, accurate, and it is a more realistic model. |
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| Keywords: | beam model rotatory inertia shear deformation natural frequency phase velocity group velocity |
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