The application of the method in obtaining the equilibrium differential equations of a straight bar which includes concentrated variables is emphasizde,then the equilibrium differential equations of the straight bar are extended.
By the law of conservation of mass, the principle of effective stress and the Darcy's law as well as the equilibrium differential equations, a coupled mathematic model that included the terms of source and sink, and its corresponding direct coupled FEA model, for the analysis of groundwater seepage and stress were developed.
The formulae for deflection, moment, shear and contact reaction of the inner core during point contact and line contact between the inner core and the sleeve are derived according to the second order equilibrium differential equations of small deflection.
Therefore,for stress boundary value problem of unipath boay in plane elasticity,the formulation in classic elasticity that strtss components are completely determined by equilibrium differential equations,the equation of compatibility and stress boundary conditions and the conclusion that the stress components σ_x,σ_y,τ_(xy),are not related to elastic constants have a certein limitation and hence must be revised.
This article presents a method to obtain the equilibrium differential equations for calculating static stress of twisted blades based on the concept of fiber deformation.
Along the radial direction, the displacements of the spherical shell are expanded as Taylor series and each derivative of the displacements is obtained by use of the equilibrium differential equations.
In this paper,from the equilibrium differential equations and failure criterion,the elastic-brittle static fracture analysis of the plane stress micro-crack in concrete loaded by stretching stresses was done near crack line. The relations between the stretching stresses and the length of brittle fracture zone on the crack line were obtained.
In this paper, the static equilibrium differential equations of casting zone and rolling zone during deforming process are deduced respectively using slab method.
Based on description of deflection of well axis and on analysis of three dimensional forces of a small section of drill string, equilibrium differential equations of large deflection drill string were established.
Many sections of the rolling industry have an interest in the reported possibility of making significant reductions in the rolling load in cold strip rolling by employing work rolls driven at different speeds.The present work attempts to link practical observations and experiences with theory so that more insight can be gained on the mechanism by which the rolling load is reduced and the way some factors affect the process. On the basis of a plane strain compression model,an approximate upper bound solution...
This article presents a method to obtain the equilibrium differential equations for calculating static stress of twisted blades based on the concept of fiber deformation. The resulting equations are the same as those developed by J. Montoya.
It is known that the buckling problems can be solved effectively by means of galerkin's method,when their equilibrium differential equations can be wri- tten out directly and the trail functions of deflection satisfy all the boundery conditions However,this paper shows that solving the elastic stability problem of columns in Galerkin's method may obtain improper solution if we use three order differential equation of the small deflection theory of beams with the help of variational p...