The system of equations is then solved by hand or using linear algebra for the voltage drop at each node. For larger problems, software, usually in the form of a SPICE circuit simulator, is used to conduct nodal analysis. The Fundamental Laws of Nodal Analysis ...
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Gerstmayr, J., Matikainen, M.K.: Analysis of stress and strain in the absolute nodal coordinate formulation. Mech. Based Des. Struct. Mach. 34 (4), 409–430 (2006). : 10.1080/15397730601044895Germayr J,Matikainen MK.Analysis of Stress and Strain in the Absolute Nodal ...
related to the 3D joint elements; Section 4 presents the contact-potential based contact technique for 3D problems; and Section 5 gives the results of several numerical examples regarding the movement and the failure of rock masses from continuous stage to discontinuous stage solved by the 3D-NC...
and is used to discretize the established mathematical programming formulation of upper bound shakedown analysis based on Koiter’s theorem. In this formulation, the displacement field is approximated by using the Sibson interpolation and the difficulty caused by the time integration is solved by Köni...
we determined the intra-band interaction strengthUthat yields∣ΔA1g∣ = 5 meV. This strength ranged from − 4.93 eV to − 5.32 eV. With this fixed value ofUas a reference, we varied the magnitude of the inter-band interactionVand solved the gap equation to ide...
Transition metal dichalcogenides XTe2 (X = Mo, W) have been shown to be second-order topological insulators based on first-principles calculations, while topological hinge states have been shown to emerge based on the associated tight-binding model. The model is equivalent to the one construc...
The MLPG-type meshless methods well solved this problem in a natural way by partitioning the local domain into a number of subdomains that may or may not overlap. In this way, integration of high order accuracy can be obtained for the global stiffness matrix [43] without background mesh. A...
(9) needs to be solved. Doing so is not as straightforward as for the SF frame, so a number of approximation techniques, such as the rotation method, the double reflection method and the numerical integration method have been developed [44], the first one being the one mo...
Thus, the static analysis can be carried out by solving the following equation: 𝐐𝑖(𝐩)=𝟎Qip=0 (38) The nonlinear equations can be solved using the Newton–Raphson iteration procedure in which the values of the nodal coordinates at step (𝑛+1)n+1 can be calculated as 𝐩(...