An analysis has been presented for the evaluation of the natural frequency of cantilever beams of varying cross-section. The solution of the governing differential equation yields the modal shape in terms of Bessel's functions of various kinds and orders. A graphical method has been resorted to for evaluation of natural frequencies, as the characteristic equation contains the frequency parameter in implicit form.
机构:
Beihang Univ, Sch Aeronaut Sci & Engn, Beijing, Peoples R ChinaBeihang Univ, Sch Aeronaut Sci & Engn, Beijing, Peoples R China
Zhu, Wenguo
Morandini, Marco
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机构:
Politecn Milan, Dipartimento Sci & Tecnol Aerospaziali, Via La Masa 34, I-20156 Milan, ItalyBeihang Univ, Sch Aeronaut Sci & Engn, Beijing, Peoples R China