Radial oscillation

Uhlig, Tierney and McClelland S measured fretting damage by mass loss of recessed 25-4 mm diameter steel cylinders subjected to radial oscillating motion. The specimens were loaded pneumatically, frequency was varied. 

Oscillations of black holes. Non-radial oscillations of black holes can be excited when a mass is captured by the black hole. The so called quasinormal modes have eigenfrequencies and damping times which are characteristic of black holes, and very different of eigenfrequencies and damping times of quasi normal modes of stars having the same mass. Also the eigenmodes being different for a star and a black hole, the associated gw will also exhibit characteristic features. 

Excitation of Non-Radial Oscillations by Overstable Convection in Differentially Rotating Massive Main Sequence Stars... 

Imaged view suggesting the principle that, near the exit, the trajectory of the ions has a component along the axis at the same frequency as the radial oscillation. This can be used to expel the ions by applying an AC voltage at the same frequency between the quadrupole and the exit lens or by increasing the RF amplitude V (radial excitation). 

One can see that G-band is characterized with the highest intensity in the spectra (Fig. 7.6a). It should be noted as well that the SWCNT 2vd band is noticeably higher in intensity in comparison with the main D band, which can be seen from the lower curve 1. Broadband noise is typically not strong in Raman spectra of SWCNT but became more noticeable for the bulk systems (graphite and polymer-SWCNT composite, curves 2 and 3 in the Fig. 7.6a). SWCNT possess also a low-frequency vibration mode at Vrbm 160 cm corresponding to radial oscillations of carbon atoms in plane of the cross section, which exhibits a strong variation with nanotube diameter [7]. The SWCNT vibration spectra show a sum harmonic signal Vg+Vrbm with a spectral shape, which will be discussed below. 

The presence of the third peak in the low frequency Raman spectrum, radial breathing mode, testifies to the presence of SWNTs in the arrays. Moreover, it contains the quantitative characteristic information on SWNTs structure. The SWNTs diameter d was calculated as v= 6.5+223.75/al, where v(cm ) is the frequency of the radial oscillation modes of the SWNT hexagonal lattice. SWNTs were observed in both types of arrays synthesized with 1.0% and 10% of ferrocene in the feeding solution. CNT arrays obtained with 1.0% of ferrocene have V =183.1cm (Fig. 3a), and the calculated d value is 1.2 nm, which... 

Makarov invented a new type of mass spectrometer by modifying the Kingdom trap with specially shaped outer and inner electrodes (see Fig. 2.28). Also, in this case a purely electrostatic held is obtained by a dc voltage applied to the inner electrode. Ions injected into the device undergo a periodic motion that can be considered the result of three different periodic motions (1) rotation around the inner electrode (2) radial oscillation and (3) axial oscillations. These three components exhibit well-defined frequencies ... 

The functional principle of these kind of sensors is based on the effect that was discovered by G. H. Bryan in 1890 [8]. The sensor element of this gyroscope consists of a hollow, axial symmetrical resonator, such as a ring or a cylinder. It is possible to stimulate radial oscillations, which form a kind of standing wave on the wall of the cylinder. If the cylinder rotates around its axis, the nodes of the oscillation waves remain at rest, similar to Foucaults pendulum. 

The center of the Rydberg wavepacket, (r)t, undergoes periodic radial oscillations, analogous to the planetary motions (Kepler orbits). The Kepler period of (r)t for the Rydberg wavepacket with center-n, n enter, is... 

Another recently developed method for determining surface rheological properties is the damping of a radial oscillating bubble, firstly described by Lunkenheimer Kretzschmar (1975) and established theoretically by Wantke et al. (1980). This technique is described in more detail in Chapter 6. It is based on damping effects and yields dilational rheological... 

See Denson SSO See Denson See Denson Undamped radial oscillation... 

The most recently developed methods to investigate the surface relaxation of soluble adsorption layers due to harmonic disturbances is the oscillating bubble or drop method. The technique involves the generation of radial oscillations of a gas bubble or a liquid drop at the top of a capillary immersed into the solution under study. The first set-up was described by Lunkenheimer Kretzschmar [150] and Wantke et al. [151] followed by a number of new designs of apparatus using novel pressure transducers to monitor the pressure changes inside a bubble or a drop [67, 152, 153, 154]. 

Figure (3) compares our numerical results with the experimental results mentioned above. Due to the finite resolutions of the experiment there is a weak deviation in the strength of the peak, but the quantitative as well as qualitative structure of the spectra is in very good agreement. Due to the external electric field there is in addition to the Kepler radial oscillation an angular oscillation with period... 

A. Prosperetti, Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids, J. Acoust. Soc. Am. 61, 17, 1977. 

In relation to the position of the active partners to one another and to the contour to be machined, it can be distinguished between axial and radial oscillating superpositions with respect to the grinding tool. According to DIN 8589, T 11, and Cartsburg (1993), the kinematic modifications depicted in Figure 17.13 result for the used process methods. 

For the radial oscillations of the bubbles we use equation (1), where we should try to get from eq.(1) a linear differential equation with coefficients which depend on the amplitude of the oscillations. In many flows of practical interest the volumetric concentration of the gas bubbles is small. Therefore we should assume that a << 1 and furthermore Pg<< Pf Then we get the following set of differential equations. 

A positive value of n implies a focusing effect. The value of n varies with the radius r (it is zero at the center of the magnet) and it can be used to calculate the motion of particles in the radial and axial directions at a particular radius. Ignoring the detailed discussion, particles displaced axially or radially from their equilibrium orbit will sense a force which is proportional to the displacement (like a simple harmonic oscillator) and will perform stable axial and radial oscillations, which are known as betatron oscillations. These oscillations are stable when n lies between 0 and 1. Any ion leaving the ion source in a direction not in the median plane and not on the equilibrium orbit will make axial and radial betatron oscillation. 

There is a coupling between the axial and radial oscillations, which can cause coupled resonances. Detailed examinations show that they are present when the axial and radial... 

Figure 13 - Non-radial oscillations in a laser-driven bubble pulsating in a 7-kHz acoustic field in water ...

---