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In this paper, we propose a novel scheme of measuring a coupled but uneasy detected vibration mode through surveying another much easier detected vibration mode in a complex mechanical system. Through measuring the frequency dependence of phase lag of strain behind stress, i.e., the apparent mechanical dissipation-frequency spectrum, for the easy detected vibration mode, we are able to obtain the corresponding resonant absorption peak for the coupled vibration mode in addition to the expected main system resonance. By studying the observed resonant absorption peak: peak position, peak width and peak height, we can obtain the detailed information about the coupled vibration mode: the intrinsic resonant frequency, dissipation and coupling coefficient. Through measuring the apparent mechanical dissipation frequency spectrum of torsion vibration, the detection of the progression vibration about the pendulum axis is presented as a representative example of our scheme.
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Keywords:
- resonant absorption peak /
- phase-frequency spectrum /
- coupling /
- vibration mode
[1] He Y K, Dong H R 1998 Chemical Analysis Handbook: Spectroscopy (Beijing: Chemical Industry Press) (in Chinese) [何以侃, 董慧茹 1998 化学分析手册第三分册-光谱分析(北京:化学工业出版社)]
[2] Fano U 1961 Phys. Rev. 124 1866
[3] Tekman E, Bagwell P F 1993 Phys. Rev. B 48 2553
[4] Yong S J, Arkady M S, Change S K 2006 Physica Scripta. 74 259
[5] Liu R, Li Y C, Hou M Y 2008 Acta Phys. Sin. 57 4660 (in Chinese) [刘锐, 李寅阊, 厚美瑛 2008 物理学报 57 4660]
[6] Lu K Q, Liu J X 2006 Introduction to Soft Matter Physics (Beijing: Peking University Press) p694 (in Chinese) [陆坤权, 刘寄星 2006 软物质物理学导论(北京:北京大学出版社) 第694页]
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[1] He Y K, Dong H R 1998 Chemical Analysis Handbook: Spectroscopy (Beijing: Chemical Industry Press) (in Chinese) [何以侃, 董慧茹 1998 化学分析手册第三分册-光谱分析(北京:化学工业出版社)]
[2] Fano U 1961 Phys. Rev. 124 1866
[3] Tekman E, Bagwell P F 1993 Phys. Rev. B 48 2553
[4] Yong S J, Arkady M S, Change S K 2006 Physica Scripta. 74 259
[5] Liu R, Li Y C, Hou M Y 2008 Acta Phys. Sin. 57 4660 (in Chinese) [刘锐, 李寅阊, 厚美瑛 2008 物理学报 57 4660]
[6] Lu K Q, Liu J X 2006 Introduction to Soft Matter Physics (Beijing: Peking University Press) p694 (in Chinese) [陆坤权, 刘寄星 2006 软物质物理学导论(北京:北京大学出版社) 第694页]
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