Variational calculations for resonance oscillations of inhomogeneous plasmas [PDF]
The electrostatic resonance properties of an inhomogeneous plasma column are reported by application of the Rayleigh-Ritz method. A description of the rf equation of motion and pressure term that expresses the system of equations in Euler-Lagrange form ...
Crawford, F. W., Peng, Y. K. M.
core +1 more source
Considering the thermal environment of rotating blades, this paper calculated the predeformation caused by thermal strain and centrifugal strain using the pseudo‐static analysis method. The finite element model of the structural dynamics of blades was constructed by applying the predeformation. Then, this paper solved the nonlinear forces acting on the
Yong Zhang +8 more
wiley +1 more source
Spline-based Rayleigh-Ritz methods for the approximation of the natural modes of vibration for flexible beams with tip bodies [PDF]
Rayleigh-Ritz methods for the approximation of the natural modes for a class of vibration problems involving flexible beams with tip bodies using subspaces of piecewise polynomial spline functions are developed. An abstract operator theoretic formulation
Rosen, I. G.
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Self-consistently Improved Finite Temperature Effective Potential for Gauge Theories
The finite temperature effective potential of the Abelian Higgs Model is studied using the self-consistent composite operator method, which sums up the contributions of daisy and superdaisy diagrams. The effect of the momentum dependence of the effective
C. Athorne +31 more
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A rational‐Chebyshev projection method for nonlinear eigenvalue problems
Abstract This article describes a projection method based on a combination of rational and polynomial approximations for efficiently solving large nonlinear eigenvalue problems. In a first stage the nonlinear matrix function T(λ)$$ T\left(\lambda \right) $$ under consideration is approximated by a matrix polynomial in λ$$ \lambda $$.
Ziyuan Tang, Yousef Saad
wiley +1 more source
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc
We describe our software package Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) publicly released recently. BLOPEX is available as a stand-alone serial library, as an external package to PETSc (``Portable, Extensible Toolkit for ...
Argentati, M.E. +7 more
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Study of the Effect of Initial Plate Temperature in Jet Impingement Cooling Process
This work investigates jet impingement of heated steel plate using an industrial scale run‐out tables (ROT) facility with thermal camera. A mixture Eulerian fluid dynamics (CFD), and heat transfer model is developed to obtain the boiling curves numerically.
Mohamed S. Gadala +2 more
wiley +1 more source
Thermal stresses in a spherical pressure vessel having temperature-dependent, transversely isotropic, elastic properties [PDF]
Rayleigh-Ritz and modified Rayleigh-Ritz procedures are used to construct approximate solutions for the response of a thick-walled sphere to uniform pressure loads and an arbitrary radial temperature distribution.
Tauchert, T. R.
core +1 more source
Dissecting the FEAST algorithm for generalized eigenproblems
We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-known Rayleigh-Ritz method, we identify several critical issues that ...
Bientinesi, Paolo +4 more
core +1 more source
Bending and Deformation of Sandwich Panels Due to Localized Pressure
Bending and deformation of sandwich panels due to localized pressure were analyzed using both Rayleigh-Ritz and finite element methods. The faces were made of laminated composite plates, while the core was a honeycomb material.
Bambang K. Hadi, A. Fajar
doaj

