Analysis of the Characteristics of Pseudo-Resonance and Anti-Resonance
Fengquan Wang, Han Xiao-Ling, Ying-Zheng Guo
Abstract
Fengquan Wang, Han Xiao-Ling, Ying-Zheng Guo
Abstract
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.
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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.
Key concepts: Resonance (particle physics), Cantilever, Nonlinear resonance, Beam (structure), Nuclear magnetic resonance, Physics, Materials science, Atomic physics