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hollow sphere
Theoretical solution of a spherically isotrophic hollow sphere for dynamic thermoelastic problems
      
The separation of variables method was successfully, used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere.
      
Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads.
      
The finite integral transform method is used to obtain the solution of unsteady heat conduction problems for a hollow sphere with a moving internal boundary and various boundary conditions at the outer surface.
      
The temperature field of moist bodies in the form of a plate, a hollow cylinder, and a hollow sphere is analyzed for general boundary conditions of the third kind at the inner and outer surfaces.
      
A method is proposed for determining the heat transfer coefficient from instantaneous temperature values at points inside a plate, a hollow cylinder, or a hollow sphere during heatup.
      
In ultrasonic mist pyrolysis, the particles with hollow sphere morphology were obtained; whereas, particles prepared by the ultrasonic mist combustion process had a dense solid morphology with low porosity.
      
Some exact results concerning thermoelastic properties of hollow sphere composites
      
Thermoelastic properties of hollow sphere composites are studied based on the uniform matrix-field concept proposed here.
      
This relation is proved for the switching of a continuous current in an elementary coaxial line and the shielding of the transient field of a magnetic dipole of arbitrary orientation by a conducting and permeable hollow sphere.
      
In this paper, the transient current distribution in a permeable and conducting hollow sphere is calculated for an exciting current of arbitrary time dependence which is fed into the sphere via the surface from an open loop of arbitrary shape.
      
If the exciting loop is closed outside the hollow sphere, the transverse magnetic field vanishes and the solution for the transverse electric field can be used to describe the shielding of the transient electromagnetic field by a spherical screen.
      
The charged hollow sphere model improves the theoretical values towards the properties determined by experiment.
      
The hyperbolic heat conduction process in a hollow sphere with its two boundary surfaces subject to sudden temperature changes is solved analytically by means of integration transformation.
      
The scattering intensity at 1020?K has been chosen as a reference state and the differences of the scattering intensities, in comparison with this reference state, were analysed by using the model of a hollow sphere.
      
The validity of the model was checked by comparison to the model of a hollow sphere.
      
Although no reward was offered, they preferred the hollow sphere (30?mm and 50?mm diameter, but not 18?mm) over the corresponding paraboloids.
      
Butyric acid M/1000 induces abnormalities of the segmentation mitoses: 1) dispersion of monocentric mitotic systems at ana-telophase, 2) concentration into a multipolar system at metaphase, 3) fibrillar systems in "hollow sphere" at prophase.
      
For many purposes, the infinite series can be neglected in equations (29) and (30) for the stress field in a hollow sphere and in equations (47) and (48) for a solid sphere.
      
The arbitrarily and the periodically laminated elastic hollow sphere: exact solutions and homogenization
      
 

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