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On the Eigen-Mode Excitation of Linear Oscillators and the Earth's Polar Motion
Fang, Ming1,2; Liao, Xinhao2; Xu, Xueqing2
2020-10-07
Source PublicationANNALEN DER PHYSIK
ISSN0003-3804
Pages14
AbstractBy transforming a 1D second-order linear oscillator into a 2D first-order polar motion differential equation, it can be shown that the finite smoothness (i.e., the presence of jump in finite order derivatives) of the applied Newtonian forcing constitutes the sufficient and necessary condition for instantaneous excitation of free eigen-mode. This condition can be met by forcing functions originated from turbulent and multiphase fluid motions. Sub-macroscopic transition time associated with astatic elastic deformation limits the physical smoothness of the applied forcing for the Earth's polar motion. Eigen-modes can also be excited by an infinitely smooth forcing that has a finite domain of non-zero values. The eigen-period serves as a macroscopic timescale to characterize the inertia of a linear oscillator. If a zero mean irregular forcing of finite smoothness exhibits a high degree of randomness and the timescale is much shorter than the eigen-period, then for negligible damping the eigen-waveform will increase in proportion to the squareroot of time, while the waveform distortion is statistically a constant. As a result, the pattern of distinctive eigen-oscillation will dominate the forced solution for longer enough duration.
Keyworddifferential jumps eigen-mode excitation polar motion
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences
DOI10.1002/andp.202000262
WOS KeywordANGULAR-MOMENTUM ; TURBULENCE
Language英语
Funding ProjectChinese Academy of Sciences[XDB41000000] ; NSFC[11973010] ; NSFC[11673049] ; NSFC[11673053] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019265]
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; NSFC ; NSFC ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000575420900001
PublisherWILEY-V C H VERLAG GMBH
Citation statistics
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/81878
Collection中国科学院国家天文台
Corresponding AuthorFang, Ming
Affiliation1.MIT, Dept Earth Atmospher & Planetary Sci, Cambridge, MA 02139 USA
2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
Recommended Citation
GB/T 7714
Fang, Ming,Liao, Xinhao,Xu, Xueqing. On the Eigen-Mode Excitation of Linear Oscillators and the Earth's Polar Motion[J]. ANNALEN DER PHYSIK,2020:14.
APA Fang, Ming,Liao, Xinhao,&Xu, Xueqing.(2020).On the Eigen-Mode Excitation of Linear Oscillators and the Earth's Polar Motion.ANNALEN DER PHYSIK,14.
MLA Fang, Ming,et al."On the Eigen-Mode Excitation of Linear Oscillators and the Earth's Polar Motion".ANNALEN DER PHYSIK (2020):14.
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