A general equation revealing the relationship between the attenuation at passband center A ( 0 ) and the parasitic dissipation factor of the elements o and input dissipation factor d is derived for all-pole type lossy filter. Based upon this equation, families of curves are computed and plotted for three conventional types of filters.
Thus, in order to properly describe the propagation of a crack it is necessary to consider the rheological solid mechanically as a dissipature type media, and so in the global energy balance law must inclusion the rate-of-energy dissipation term which represent the behavior of rheological materials.
A general equation revealing the relationship between the attenuation at passband center A ( 0 ) and the parasitic dissipation factor of the elements o and input dissipation factor d is derived for all-pole type lossy filter. Based upon this equation, families of curves are computed and plotted for three conventional types of filters.
For filters with given element dissipation factor, both the optimum selection of the input dissipation factor and the determination of the attenuation at the passband center can be readily accomplished with the aid of these curves.
If the allowable range of the attenuation at the passband center is given, the same families of curves enable us to determine conveniently the corresponding allowable range of the element dissipation factor.
In this paper,the solution of quantum nonlinear schrodinger equation (QNSE)with the third—order dspersion and dissipation is derived on the base of apply- ing Hartree approximation. And the quantum heat insutation relation of optical solitons is proved.
The application of non-orthogonal curvilinear system to the calculation of the flow field inside the channel, with complex boundary geometry, can effectively simplify the work of designing the calculation program and improve the accuracy of calculation[1] Therefore, it is obviously necessary to expand the viscous terms, i. e. viscous force, rate of work done by viscous stress and dissipation, in basic aerodynamic equations in the non-orthogonal curvilinear system[2].
In the present paper, we deal with the long-time behavior of dissipative partial differential equations, and we construct the approximate inertial manifolds for the nonlinear Schr?dinger equation with a zero order dissipation.
The relative dielectric constant εr and the dissipation factor tgδ of the PZT thin films were measured with an LCR meter and were found to be 158 and 0.04-0.005, respectively.
The sap flow density, water consumption, and related environmental factors were also measured using thermal dissipation method and ICT-2000TE (Transpiration-Environment) automatic measuring system for tree transpiration and environmental factors.