Novel dual-mode square-loop resonators using Hilbert perturbation for simultaneous size reduction and mode splitting

2007 ◽  
Vol 49 (7) ◽  
pp. 1735-1739 ◽  
Author(s):  
Ji-Chyun Liu ◽  
Po-Chiang Lu ◽  
Jun-Mao Chang ◽  
Chi-Hsu Chien ◽  
Ching-Pin Kuei
2011 ◽  
Vol 53 (8) ◽  
pp. 1703-1706 ◽  
Author(s):  
Shu-Hong Fu ◽  
Chuang-Ming Tong ◽  
Xi-Min Li ◽  
Ming Zhou

1983 ◽  
Vol 105 (3) ◽  
pp. 402-407 ◽  
Author(s):  
W. A. Stange ◽  
J. C. MacBain

This paper presents the results of an investigation addressing the effects of mistuning on the lower modes of vibration of a simple bladed-disk model. The phenomena of dual modes, also known as mode splitting, is studied using holographic interferometry and strain gage measurements under nonrotating and rotating conditions. Resonant amplitudes, mode shapes, and natural frequencies of the disk model were determined, without deliberately mistuning the disk. The tests were then repeated with the disk deliberately mistuned to varying degrees, paying particular attention to the second diameter (2N) dual modes. Additionally, tests were conducted on the disk at a rotational speed of 2000 rpm, in an effort to gain insight as to the vibratory characteristics of the disk under rotating conditions.


Author(s):  
Yaoyao Wang ◽  
Shiyu Wang ◽  
Dianhua Zhu

Ring periodic structures are widely spread in engineering applications, where natural frequencies can split due to the deviation from axisymmetry. This work aims at the elimination of the dual-mode natural frequency splitting by using feature shifting. A concept of equivalent feature is introduced based on the grouping idea and an analytical model with discrete features is established. The relationships between the group number, feature number, shifting angle and excited circumferential wavenumber are identified as closed-form expressions. The splitting for structures with unshifted standard features depends on the feature number and wavenumber regardless of the grouping patterns. The equivalence between various groupings is verified. Simple rules governing the dual-mode splitting are elaborated, where one splitting is removed by a combination of equivalent feature number and wavenumber, and the other is eliminated by feature shifting. The rules allow immediate estimation and elimination of the dual-mode splitting where the modified structures still hold symmetry. The results can find application in vibratory structures where the frequency splitting is the key concern. The main results are verified by the Finite Element method.


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