This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform cross-section. The numerically-obtained solutions were compared to asymptotic solutions obtained by the Wentzel-Kramers-Brillouin (WKB) method. It was established that WKB formula precision was higher than 3% for high frequencies (>= 4 mode).
机构:
Univ Reggio Calabria, Dipartimento Ingn Civile Ambiente Energia & Mat D, I-89124 Reggio Di Calabria, ItalyUniv Palermo, Dipartimento Ingn Civile, Ambientale, Aerosp,Mat DICAM, Viale Sci, I-90128 Palermo, Italy
机构:
Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South AfricaShanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
Bao-Zhu Guo
Zhi-Chao Shao
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机构:
Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China
Univ Int Business & Econ, China Serv Ind Res Ctr, Beijing 100029, Peoples R ChinaShanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China