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Title
Japanese:回転慣性とせん断変形を考慮した一様弾性梁の曲げ固有振動数の実用的な計算手法 
English:A PRACTICAL METHOD FOR CALCULATING NATURAL BENDING FREQUENCIES OF UNIFORM ELASTIC BEAMS CONSIDERING ROTATORY INERTIA AND SHEAR DEFORMATION 
Author
Japanese: 山口雄大, 佐藤大樹, 田村哲郎.  
English: Yudai Yamaguchi, Daiki Sato, Tetsuro Tamura.  
Language Japanese 
Journal/Book name
Japanese:日本建築学会構造系論文集 
English:Journal of Structural and Construction Engineering (Transactions of AIJ) 
Volume, Number, Page Vol. 87    No. 791    pp. 72-82
Published date Jan. 2022 
Publisher
Japanese:一般社団法人 日本建築学会 
English:Architectural Institute of Japan 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
File
DOI https://doi.org/10.3130/aijs.87.72
Abstract In general, eigenvalue analysis for beams considering rotatory inertia and shear deformation is not trivial, even in the case of uniform beams. In this paper, a practical method is proposed for calculating natural bending frequencies of uniform elastic beams considering rotatory inertia and shear deformation. The proposed method is based on the modified Timoshenko beam theory, which is more rigorous and realistic than the traditional Timoshenko beam theory. It is shown that the proposed method calculates the natural frequencies of an arbitrary order-vibration mode for beams of arbitrary cross-sections with a high level of accuracy, similar to numerical analysis.

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