A robust and efficient implementation of LOBPCG
, 2018 Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is widely used to compute eigenvalues of large sparse symmetric matrices. The algorithm can suffer from numerical instability if it is not implemented with care.
Duersch, Jed A. +3 more
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On the problem of modeling for parameter identification in distributed structures [PDF]
Structures are often characterized by parameters, such as mass and stiffness, that are spatially distributed. Parameter identification of distributed structures is subject to many of the difficulties involved in the modeling problem, and the choice of ...
Meirovitch, Leonard, Norris, Mark A.
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Variational description of the positive column with two-stem ionization [PDF]
The ionization balance in diffusion dominated discharges which depends on both one and two step ionization processes is considered. The Spenke diffusion equation (D sq delta n + neutrino n + sq kn =0) describing such conditions is solved by the Rayleigh ...
Crawford, F. W.
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Optimal a priori error bounds for the Rayleigh-Ritz method [PDF]
, 2000 We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector.
Eshof, J. van den +2 more
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Free Vibration Analysis of Cylindrical Shell from Fiberglass with Navier Boundary Conditions
Механика машин, механизмов и материалов, 2011 The analytical solution of approximate natural frequencies for the free vibration of cylindrical shells of GFRP (glass fiber reinforced plastic) with Navier boundary conditions is presented using the Rayleigh-Ritz method, while the winding angle varies ...
S.M. Bosiakov , W. Zhiwei
doaj
AcousticsConsidering the lack of studies on the transient vibro-acoustic properties of conical shell structures, a Jacobi–Ritz boundary element method for forced vibro-acoustic behaviors of structure is proposed based on the Newmark-β integral method and the ...
Cong Gao +5 more
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THE INFLUENCE OF ROAD DECK BRIDGE THICKNESS ON THE DYNAMIC DISPLACEMENT RESPONSE [PDF]
Fiabilitate şi Durabilitate, 2017 The article presents a method to obtaining the dynamic response bridge-vehicle system in displacements, for sustainable dimensioning of the road decks bridge. The method used is the numerical finite strips method (FSM) associated with the Rayleigh-Ritz
Ovidiu GAVRIŞ
doaj
Buckling Behavior of Nanobeams Placed in Electromagnetic Field Using Shifted Chebyshev Polynomials-Based Rayleigh-Ritz Method. [PDF]
Nanomaterials (Basel), 2019 Jena SK, Chakraverty S, Tornabene F.
europepmc +1 more source
Explainable Artificial Intelligence to Investigate the Contribution of Design Variables to the Static Characteristics of Bistable Composite Laminates. [PDF]
Materials (Basel), 2023 Saberi S +4 more
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Buckling of a sublaminate in a quasi-isotropic composite laminate [PDF]
The buckling of an elliptic delamination embedded near the surface of a thick quasi-isotropic laminate was predicted. The thickness of the delaminated ply group (the sublaminate) was assumed to be small compared to the total laminate thickness.
Shivakumar, K. N., Whitcomb, J. D.
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