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Published in Philip A. Laplante, Comprehensive Dictionary of Electrical Engineering, 2018
for any admissible di ; i = 1, 2, . . . , N . The nonzero-sum game may admit more than one Nash equilibrium solution with outcomes different in each case. Since the total ordering among N-tuples of numbers does not exist, it is usually not possible to declare one of them as the most favorable. Nevertheless, some of strategies may be viewed as better than other ones if the respective outcomes are in partial order. With this notion of betterness, a Nash equilibrium strategy N-tuple is admissible if there exists no better one. In the case when the game is played, many times in the same conditions, the Nash equilibrium may be defined for average values of the cost functional and mixed strategies. NASTRAN a widely used computer code for mechanical and structural analysis, such as for opto-mechanical and thermal analyses. National Electrical Code (NEC) a standard for electrical construction, published by the National Fire Protection Association (NFPA 70-1). The National Electrical Code is often adopted
Ultimate Shear Load Capacity of Cross-sectional Curved Steel Webs
Published in Structural Engineering International, 2021
Gilles Van Staen, Heng Fang, Philippe Van Bogaert, Hans De Backer
In order to simulate the buckling behaviour of curved panels in shear, a geometric and material nonlinear analysis with imperfections (GMNIA) is performed, with the use of the arc length method29 to simulate the post-buckling behaviour. The model is created in the numerical software package Siemens NX™ 30 and the analysis is solved with the Nastran® solver. From linear bifurcation analysis (LBA), the first two eigenmode shapes are obtained, which are used as imperfection shapes. The mesh element CQUAD4 is used. It is an isoperimetric quadrilateral element with optional coupling of bending and membrane stiffness and is based on Mindlin–Reissner shell theory. After a convergence study, a mesh size of 33.33 mm² is found as most efficient with respect to results and computational time use.
Performance analysis of vortex flow through a swirler by computational fluid dynamics technique
Published in International Journal of Ambient Energy, 2020
All the above-discussed modeling and numerical analysis have been performed by Siemens NX 10.0 PLM Software. The solver used is NASTRAN solver both for CFD and Structural Analysis. In the finite element modeller, the tetragonal mesh has been used whose element size has been assigned 0.9 mm both for CFD and Structural Analysis. For CFD Analysis, RSM was used. The boundary conditions are given as the same condition while running the standard TAFE Engine with the following specifications: Bore: 108 mmStroke Length: 120 mmPort Diameter: 60 mmVelocity of Air: 20.736 m/sVelocity of Piston: 6.4 m/sCrankshaft Speed: 1600 RPM In an engine testing test rig (TAFE Engine), the temperature of the inlet port is 41.6°C. But in practice, the engine will be enclosed within the sheet metal cabin. This may lead the temperature to be as high as 100°C. Therefore, the thermal boundary conditions have been taken as below,
Strength and stiffness variability study of viscoelastic adhesive butt joints
Published in The Journal of Adhesion, 2019
K. Van Massenhove, D. Vandepitte, S. Debruyne
The samples discussed in chapter 4 are not perfect, it is therefore not possible to identify the effect of a single change in sample geometry, or any other discussed parameter. Modelling the joint may aid in understanding these effects. An analytical method, as discussed by Sawa[21] can aid in the initial analysis, but does not support nonlinear behaviour of the adhesive. A nonlinear axisymmetric finite element method, such as performed by Adams, Coppendale and Peppiatt[22] can provide valuable information. A disadvantage of axisymmetric modelling is that local defects such as shown in Figure 6 cannot be added. Solid 3D elements do not show this disadvantage, so a set of nonlinear 3D finite element analyses will be performed. These are based on the Siemens NX Nastran 12 solution 601–106 solver.