Based on the nonlinear static equilibrium equations of the system, the forc e singularity is described by the determinant and condition number of the Jacobi an matrix clearly.
With the three-dimensional isoparametric EAS elements to describe the stress and deformation characteristics of thin-walled concrete cylindrical piles and interface elements to describe the interaction between thin-walled cylindrical piles and soil,static equilibrium equations for calculating stress of pile bodies according to restraint stress of contact surfaces and loads on piles were established,and a finite element method for the stress analysis of piles considering the interaction between piles and soil was presented.
Based on the plastic membrane theory and static equilibrium equations,a novel hydro-bulging approach is proposed with curve-fitting of the experimental data to establish the flow stress equation of a thin-walled tube in hydro-bulging(THB) process,where the site measurements of stress and strain distribution,as well as the profile curvature radii in meridian direction of deformed tube are eliminated.
Different from the static equilibrium equations in literatures, we have adopted the improved static equilibrium equations in liquid core proposed in Ref. [1].
The homogeneous state control equations with mechanic electric heat coupling effect of piezoelectric thermoelastic open shell is derived by uniting the static equilibrium equations,the charge displacement equilibrium equations and thermal flow equilibrium equations.
Thenecessary conditions are three linear and static equilibrium equations in the interior and static boundary conditions on that part of the boundary surface, where forces are prescribed.
According to the physical meaning of the inverse screws of kinematic screws, we introduce the static equilibrium equations to gain a novel methodology to study the singularities of the dynamic mechanisms.
Random-input parameters as well as all-state functions included in static equilibrium equations are expanded in this approach around their expectations via Taylor series up the order given a priori.
The excitation of earthquake displacement field on polar motion of the Earth is discussed in this paper. Different from the static equilibrium equations in literatures, we have adopted the improved static equilibrium equations in liquid core proposed in Ref. [1]. Therefore, all the continuity conditions at core-mantle boundary may be satisfied. The earthquake parameters are taken from Ref. [2]. To solve the differential equations, we divide the sphere into two parts...
According to the point of view that the influence of groundwater on rock slopes stability is related to the porosity of rockmasses and the density groundwater, this paper has derived linear elasto-static equilibrium equations considering seepage field. In the boundary integral equation, the surface integral of the body force was transformed into a line integral in the boundary by use of Galerkin vector. Regarding the critical sliding surface in slope as a boundary, tractions acting on it w...
he frictional effect on the stability of drill stem in horizontal borehole is crucial to successful drilling of horizontal wells. The buckling equation of drill stem in horizontal boreholes was derived by analysing the deforming geometrical equation and the static equilibrium equations of drill stem. The critical unstable load under different boundary conditions is discussed on the basis of the perturbation solution of the linear buckling equation,s small parameters. Several figures and ch...