A numerical example is illustrated.doi:10.1016/S0898-1221(99)00345-4M.T. NakaoS.H. LeeCheon Seoung RyooElsevier BVComputers & Mathematics with ApplicationsM.T. Nakao, S.H. Lee and C.S. Ryoo, Numerical verificat
A first step in understanding this question has been made in [2], where more general relative overdetermined problems in half-cylinders have been considered together with their variational formulation. The stability analysis performed in that paper suggests that nontrivial solutions to (1.2) could ...
verbunden ist, wird hier vorgestellt.The majority of known non-trivial examples of exact solutions to the torsion problem of composite cylindrical bars were obtained by application of the conformal mapping which is often connected with cumbersome retransformation of the results to the physical domain....
We saw in Example 4.6 that for every prime p all these dependencies can be realized in the group Jp ⊕ Jp ⊕ Q ⊕ Q together with all infinite q-heights of all elements for all prime q = p. Therefore the whole type with all dependencies of all p-heights for all p can be realized...
This is the case for example of , since and thus in this case is the trivial function which is everywhere +∞. The first simple result shows that Definition 2.2 is coherent with the compact case. Indeed in this case (2.4) boils down to the usual torsion function given by Definition 2.1...
This paragraph can be used for the design of the spring. The design of a torsion spring often has many various suitable solutions for the given input conditions. The application therefore proceeds iteratively with the spring design and, for the given input conditions, it passes through individual...
In recent years SME aBreather solutions are more robust, and they have been widely studied in inhomogeneous chains, e.g. via the Peyrard–Bishop–Dauxois model and related ones [5, 9]. Also, it is known that this class of models — which deals with internal stretch rather than torsion ...
For the first time we face this sort of problems when dealing with the McKay corre- spondence for minimally elliptic singularities. Namely, let S = Spec(R) be the spectrum of a complete (or analytical) two-dimensional minimally elliptic singularity, π : X −→ S its minimal resolution...
A torsion beam example is solved using the new theory in order to illustrate its applicability to practical problems. The second part of the paper implements the solution numerically in a force-based finite element context. Two finite elements are developed by assuming linear and hyperbolic bi...
3.5.1 Vacuum and torsion-dominated solutions General relativistic empty FRW-type spacetimes with Euclidean spatial sections and no cosmological constant are static. The following simple example shows that torsion can change this. Indeed, when ρ = 0 = K = Λ, the torsional analogue of the ...