... Introduction Normal Vibration and Friction at Hertzian Contacts 3 Normal Vibration and Friction at Rough Planar Contacts Normal and Angular Vibrations at Rough Planar Contacts Stability Analysis ... q0, and finally Eq (12a) for s„ The equations of motion, Eqs (10) and (11), clearly reveal nonlinear coupling among the translational and angular motions Subharmonic, superharmonic, and combination ... Index of Refraction: Dispersion and Attenuation 162 The Signal Velocity and the Saddle-Point Approximation 167 The Regular Wave-Front Expansion 172 The Singular Wave-Front Expansion 1 78 Conclusions...
... National Commission On Large Dams www.vncold.vn 10 11 12 Total 149 .87 68 124.9795 110. 0322 94 .88 65 82 .97 68 54 .82 96 102 2.3012 149 .87 68 124.9795 110. 0322 94 .88 65 82 .97 68 54 .82 96 985 ,88 00 0.0000 0.0000 ... (ui) Non_crack 29. 784 8 44.9630 55.0354 69. 983 1 89 .9557 114.99 78 Energy (ui) crack 20.4560 39.1256 50.9924 68 .236 7 83 .5645 105 . 9234 ΔU 9.3 288 5 .83 74 4.0430 1.7464 6.3912 9.0744 10 Vietnam National ... shape functions In constant shape function, only one node exists per element and the values of e e um and qm are constant throughout the elements The constant shape function has the value at the node...
... permittivity at low and high frequency, respectively, τ is the relaxation time, and α and β are positive real constants 7 Electric and Magnetic Characterization of Materials of Materials Electric and ... propagation mode (free-space measurement system and TEM transmission line) and for waveguides with only the TE10 propagation mode these expressions for S11 and S21 are (Barroso and De Paula (2 010) ; ... Electric and Magnetic Characterization of Materials of Materials Electric and Magnetic Characterization and for a rectangular waveguide (Inan and Inan (2000); Kraus and Fleisch (1999); Sadiku (2007))...
... inner region and outer region On the surface S , that separates the regions, the incident and scattered field can be related by an aggregated transmission matrix T (T-matrix) Waterman (1971) (see ... incident and scattered fields are defined and used to determine the transmission matrix representation of the object Waterman (1971) Since the transmission matrix contains the information about ... values of the T-matrix terms depend on the material and geometry properties (e.g shape of the posts, location and orientation in space) and not depend on the excitation Therefore, the investigated...
... translation and rotation Chirality is common in a variety of naturally occurring and man-made objects From an operation point of view, chirality is introduced into the classical Maxwell equations ... Eqs. (82 ) and (83 ) are just equations of electric field and magnetic field T for bi-anisotropic media 6.3 Applications In this section, we discuss the propagation laws of electromagnetic waves in an ... equations of electromagnetic media under the geometric presentation Now we intend to get rid of effects of geometric coordinate on the constitutive equations, and establish a set of coordinate-independent...
... Different Media and Structures Ramm, A G (1 982 ) Mathematical foundations of the singularity and eigenmode expansion methods, Journal of Mathematical Analysis and Applications, 86 , 562 1 982 Riddell, ... Marks, R B (1 986 ) Application of the singular function expansion to an integral equation for scattering, IEEE Transactions on Antennas and Propagation, Vol AP-34, No 5, 725, May 1 986 Mcdonald, S W.; ... Pearson, (1 984 ) A Note on the representation of scattered fields as a singularity expansion, IEEE Transactions on Antennas and Propagation, Vol AP-32, No 5, 520, May 1 984 100 Behaviour of Electromagnetic...
... testing of many conditions 2.3 Calibration The calibration in this measurement includes two steps, one is the transmission line calibration, and the other is the probe calibration 2.3.1 Transmission ... processing of subtract DC shift, band pass butterworth, background removal and F-K migration It is the combination of presentation in point mode and wiggle mode The delamination parts of A, B and C ... the band width and both the measuring units are MHz According to equation (2), it can be figured out that the relative band width of the 1.6 GHz antenna is 126% and that of the 2.3 GHz antenna...
... Compton or at combinational dispersion All these processes define as formation of impulses of electromagnetic radiation in substance, and absorption of radiation by substance 1.2 Coordination of ... Delamination in Tibetan Wall Paintings by Using Ground Penetrating Radar, Journal of University of Electronic Scienceand Technology of China, vol 39, no 6, pp 86 5 -87 0, Dec 2 010 ISSN 10 088 105 8 Interaction ... probability of separate interaction, is equal an exponent from the mathematical expectation of a random variable − an average quantity of interactions λ of quantums and electrons in impulse, taken...
... daytime, the ratio of charged particles to neutral particles concentration can vary from10 -8 at 100 km to 10- 4 at 300 km and 10- 1 at 100 0 km altitude The main property of F-region consists of the free ... (a) and (b), we can find at10 K, the duration time of the waveforms is longer than that at 300 K at any bias electric fields, F, for both samples The longer duration time of the THz waveforms at ... Transient response of planar integrated optoelectronic antennas, Appl Phys Lett., Vol 50, No 17, pp 1155–1157 (1 987 ) [23] C Johnson, F J Low, and A W Davidson, Germanium and germanium-diamond...
... and investigate the detriments of Non-Ionized radiation and its effects on environment, INIRC changed to International Commission on Non-Ionizing Radiation Protection” ICNIRP In spite of world ... was considered as main and important subject of EMF to human To set the limitations on all types of EMF Radiations the International Non-Ionizing Radiation Committee” INIRC, in cooperation with ... polarization is usually fixed and k-factor of antenna is not valid for near-field measurement Fig Two samples of E-probe that are based on wide-band antennas Any wide-band and narrow-band probes can...
... waves and wave turbulence in the energy conversion, energy transport, and structure formation of the reconnection sites is an important and challenging task When the reconnection takes place at ion ... Behaviour of Electromagnetic Waves in Different Media and Structures theory and the undulation equation The undulation equation handles the continuous wave and it was presented by Jean Le Rond d’Alembert ... play an important role on the generation of reconnection, and they maybe excite the reconnection After reconnection event took place, with the reconnection on going, the frequency of enhanced...
... article, we assume that the quantization direction is in z direction and only consider intersubband transitions (n≠n’) and intrasubband transitions (n=n') As well as, we consider a quantum well with ... function and realizing the calculations, the time - independent component of the electron distribution function and the confined electron-confined optical phonon interaction constants, we can calculate ... and concentration of concentration doped Graph shows absorption coefficient is also dependence strong and nonlinear on temperature T and concentration doped nD For both cases present and absent...
... Media and Structures constant Without the adaptation of any other fundamental principles of quantum mechanics, we present a reasonable explanation of the polarization of photon,selection rules and ... separately as a particle equation andan antiparticle equation In uncoupling the two equations and solving each equation as separate from and unrelated to the other, although that information is ... constant Without the adaptation of any other fundamental principles of quantum mechanics, we present a reasonable explanation of the polarization of photon, selection rules and Pauli exclusion...
... component elimination from rotational Maxwell’s equations (Jackson, 1999; Ramo et al., 1994) and imposing vertical polarization and the boundary conditions of Fig 10, the functional expressions of ... Fig Simulation results of the polarization dependent transmittance (a) and reflectance (b) Vertical, Ey, polarization and horizontal, Ex, polarization are represented by continuous and dashed ... perfect transformation of two forms of energy (kinetic and field energy) inside the hydrogen atom and the conservation of energy in the 322 Behaviour of Electromagnetic Waves in Different Media and...
... the conservation laws of momentum and energy is quite elegant in mathematicsand is of Lorentz invariance Furthermore, many different methods used to derive the equation of motion for a radiating ... problems On the other hand, Landau and Lifshitz obtained the reduction of order form of LDE [Landau & Lifshitz, 1962], which fully meets the requirements for dynamical equation of motion and is ... radiation reaction for the uniformly accelerating motion of a charge Assuming the constant electric field E is along x-axis, the radiation reaction of external field is zero, and the equation of...
... (1976), Notes on Black Hole Evaporation, Phys Rev D, Vol 14, pp 87 0 -89 2 Wang, Guozhong., Li, Hui., Shen, Yifeng., Yuan, Xianzhang., & Zi, Jian., (2 010) AntiDampimg Effect of Radiation Reaction, Phys ... in a Quantum Field: from Radiation Reaction to Unruh Effect, Foundations of Physics, Vol 35, pp 1117-1147 Jackson, J D., (1976), On Understanding Spin-Flip Synchrotron Radiation and the Transverse ... field and the planar motion produced by a constant magnetic field Our calculations show that for any one-dimensional uniformly accelerating motion the velocity of charges has a limit value and...
... Physics, Vol 88 , No 8, pp 484 5- 485 1, ISSN 1 089 -7550 [ 18] Y S Joe, J F D Essiben and E M Cooney (20 08) Radiation characteristics of waveguide antennas located on the same impedance plane Journal of Physics ... signal attenuation by the propagation signal attenuation by the propagation in free space Fig Axial radiation patterns on azimuth θF = 0° of focused LAESR Radiation patterns intersection in the ... Modification of Dolph-Chebyshev APD for LAESR of 21 antenna elements Modification of AFC of wideband pulse signal emitted by FAA is done in same way and causes transformation of all parameters of...
... attenuations by propagation from array elements to observation point, different angles of radiation from array elements to observation point and array elements radiation patterns dependence on ... IEEE International Antennas and Propagation Symp Dig., vol 28, (May 1990), pp 1906 - 1909 Graham W J (1 983 ) Analysis and synthesis of axial field patterns of focused apertures, Antennas and Propagation, ... note on simulating Fraunhofer radiation patterns in the Fresnel region, Antennas and Propagation, IEEE Transactions on, vol 19, (Sept 1971), pp 691 - 692 Fenn A J (2007) Adaptive Antennas and...
... consider five mutually exclusive and exhaustive cases: i Υ Δ 1; ii Δ and Υ > 1; iii Δ and Υ 1; iv Δ and Υ and v Δ and Υ ≥ The condition Υ Δ is easy to handle Theorem 5.1 Let α, κ ∈ R with κ / and ... Advances in Difference Equations 15 That is, is a temporal period of v By the definition of Δ and Δ > 1, we have Δ proof is complete The Next, we consider one result about the relation between δ and ... such solution v {vi } is of the form 5.35 , and the converse is true Concluding Remarks and Examples Recall that one of our main concerns is whether mathematical models can be built that supports...
... permittivity at low and high frequency, respectively, τ is the relaxation time, and α and β are positive real constants 7 Electric and Magnetic Characterization of Materials of Materials Electric and ... inner region and outer region On the surface S , that separates the regions, the incident and scattered field can be related by an aggregated transmission matrix T (T-matrix) Waterman (1971) (see ... Electric and Magnetic Characterization of Materials of Materials Electric and Magnetic Characterization and for a rectangular waveguide (Inan and Inan (2000); Kraus and Fleisch (1999); Sadiku (2007))...