Synchronization of electrically coupled micromechanical oscillators with a frequency ratio of 3:1

2018 ◽  
Vol 112 (1) ◽  
pp. 013503 ◽  
Author(s):  
Dong Pu ◽  
Xueyong Wei ◽  
Liu Xu ◽  
Zhuangde Jiang ◽  
Ronghua Huan

2020 ◽  
Vol 6 (4) ◽  
pp. 410-430
Author(s):  
JOHN BIGELOW ◽  
MARTIN LECKEY

AbstractThe four frescoes by Raphael in the Stanza della Segnatura in the Vatican Museum visually embody close approximations of several numerical ratios that are of deep significance in the material grounding of musical harmonies in the physics of natural harmonics. Of special significance is the Pythagorean musical frequency ratio of 9:8, the (discordant) whole tone interval, which in Plato's Timaeus is called the epogdoôn (‘and an eighth’).



2019 ◽  
Vol 15 (S356) ◽  
pp. 348-350
Author(s):  
Eva Šrámková ◽  
K. Goluchová ◽  
G. Török ◽  
Marek A. Abramowicz ◽  
Z. Stuchlík ◽  
...  

AbstractA strong quasi-periodic modulation has recently been revealed in the X-ray flux of the X-ray source XMMUJ134736.6+173403. The two observed twin-peak quasiperiodic oscillations (QPOs) exhibit a 3:1 frequency ratio and strongly support the evidence for the presence of an active galactic nucleus black hole (AGN BH). It has been suggested that detections of twin-peak QPOs with commensurable frequency ratios and scaling of their periods with BH mass could provide the basis for a method intended to determine the mass of BH sources, such as AGNs. Assuming the orbital origin of QPOs, we calculate the upper and lower limit on the AGN BH mass M, reaching M ≍ 107–109M⊙. Compared to mass estimates of other sources, XMMUJ134736.6+173403 appears to be the most massive source with commensurable QPO frequencies, and its mass represents the current observational upper limit on the AGN BH mass obtained from the QPO observations.



Author(s):  
Logesh Natarajan ◽  
Tune Usha ◽  
Muthusankar Gowrappan ◽  
Bavinaya Palpanabhan Kasthuri ◽  
Prabhakaran Moorthy ◽  
...  


2013 ◽  
Vol 284-287 ◽  
pp. 557-561
Author(s):  
Jie Li Fan ◽  
Wei Ping Huang

The two-degrees-of-freedom VIV of the circular cylinder with high mass-ratio is numerically simulated with the software ANSYS/CFX. The VIV characteristic is analyzed in the different conditions (Ur=3, 5, 6, 8, 10). When Ur is 5, 6, 8 and 10, the conclusion which is different from the cylinder with low mass-ratio can be obtained. When Ur is 3, the frequency of in-line VIV is twice of that of cross-flow VIV which is equal to the frequency ratio between drag force and lift force, and the in-line amplitude is much smaller than the cross-flow amplitude. The motion trace is the crescent. When Ur is 5 and 6, the frequency ratio between the drag force and lift force is still 2, but the main frequency of in-line VIV is mainly the same as that of cross-flow VIV and the secondary frequency of in-line VIV is equal to the frequency of the drag force. The in-line amplitude is still very small compared with the cross-flow amplitude. When Ur is up to 8 and 10, the frequency of in-line VIV is the same as the main frequency of cross-flow VIV which is close to the inherent frequency of the cylinder and is different from the frequency of drag force or lift force. But the secondary frequency of cross-flow VIV is equal to the frequency of the lift force. The amplitude ratio of the VIV between in-line and cross-flow direction is about 0.5. When Ur is 5, 6, 8 and 10, the motion trace is mainly the oval.



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