Modal Analysis for Beam Bundle in Fluid
Author:
Zhang R. J.1, Wang W. Q.1, Hou S. H.2, Chan C. K.2
Affiliation:
1. Key Laboratory of Solid Mechanics of the Ministry of Education of China, Tongji University, Shanghai, China 2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
Abstract
In the present paper, a 3-D homogenized model for beam bundle in fluid is developed and formulated in terms of fluid velocity potential and displacement of beams as fundamental unknowns. It can be seen that the homogenized model is associated with a set of finite element equations in the form of a conservative gyroscopic system. Based on these equations, an algorithm for the modal analysis and the dynamic response analysis of the beam bundle is also given. It is found that both the displacement and the fluid pressure response of the bundle have a similar relation with time, but different amplitudes.
Publisher
ASME International
Subject
Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality
Reference18 articles.
1. Chen, S. S.
, 1978, “Crossflow-Induced Vibrations of Heat Exchanger Tube Banks,” Nucl. Eng. Des., 47, pp. 67–86. 2. Shinohara, Y., and Shimogo, T., 1981, “Vibrations of Square and Hexagonal Cylinders in a Liquid,” ASME J. Pressure Vessel Technol., 103, pp. 223–239. 3. Berdichevskii, V. L.
, 1977, “On Averaging of Periodic Systems,” J. Appl. Math. Mech., 41, pp. 1010–1023. 4. Bensoussan, A., Lions, J.-L., and Papanicolaou, G., 1978, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, Holland. 5. Sanchez-Palencia, E., 1980, “Non-Homogeneous Media and Vibration Theory,” Lecture Notes in Physics, Springer, Berlin, Germany.
|
|