In this paper, the analytical expressions of the dynamic compliances of both undamped and damped cantilever beams are found by the transfer funtion method. From these solutions, the phenomenon of “pseudo-resonance” of beams is discovered and defined. The characteristics of resonance and anti-resonance are investigated in detail. The resonance frequencies, anti-resonance frequencies and pseudo-resonance frequencies of the cantilever steel beam are also measured. The calculated results of these resonance characteristics are compared with the experimental ones.

1.
Ruziclia, E., and Cavanaugh, R. D., 1958, ASME Colloquium on Mechanical Impedance, The American Society of Mechanical Engineers, New York.
2.
Fang, T., 1979, “The Resonance and Anti-Resonance Vibration of Multi-Degree of Freedom Linear System,” Journal of Mechanics (in Chinese), No. 4, pp. 360–366.
3.
Dai, D. C., 1981, “The Affection of the Structure of Multi-Degree of Freedom System to the Phenomenon of Anti-Resonance Vibration,” Journal of Nanjing University, No. 1, pp. 19–28.
4.
1978, Handbook of Mechanical Engineering, Mechanical Industry Press, Beijing.
5.
Harris, M., and Crede, E., 1976, Shock and Vibration Handbook, McGraw Hill Co.
6.
Гантмахер Х Р and Крейн М Г. 1950, “Осцилляционные Матрицы и Ядра и Малые Колебания Механических Систем.” Москва: Наука Иллюс, pp. 82–90.
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