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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1986, Vol. 7 ›› Issue (1): 46-53.
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Zhu Dechao
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Abstract: The explicit expressions of the shape functions and the related stiffness, geometrical stiffness and mass matrices for the partially orthogonal hierarchal finite element of arbitrary high-order for beams are all presented in the closed form in this paper. These expressions are used to evaluate the natural frequencies and the corresponding internal forces of a uniform cantilever beam and a rotating beam with segment-by-segment continuously varying properties, respectively. The results show that the present technique is superior in computational efficiency, accuracy of results, programming, feasibility of use, and so on.
Zhu Dechao . NATURAL VIBRATION ANALYSIS OF ROTATING BEAMS WITH HIGH-ORDER FINITE ELEMENTS[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1986, 7(1): 46-53.
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