Inverse-designed gyrotropic scatterers for non-reciprocal analog computing. [PDF]
NanophotonicsAbstract While conventional von Neumann based machines are increasingly challenged by modern day requirements, electromagnetic analog computing devices promise to provide a platform that is highly parallel, efficient and fast. Along this paradigm, it has been shown that arrays of subwavelength electromagnetic scatterers can be used as solvers of ...
Hadjiantoni N +4 more
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Thermal Buckling Analysis of Laminated Composite plates with General Elastic Boundary Supports
Journal of Engineering, 2020 In this study, the modified Rayleigh-Ritz method and Fourier series are used to determine the thermal buckling behavior of laminated composite thin plates with a general elastic boundary condition applied to in-plane uniform temperature distribution ...
Mohammed Basheer Alabas +1 more
doaj +1 more source
Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads [PDF]
Mechanical Sciences, 2019 Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes.
M. T. A. Robinson, S. Adali
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An Analysis of Nonlinear Beam Vibrations with the Extended Rayleigh-Ritz Method [PDF]
Journal of Applied and Computational Mechanics, 2022 The nonlinear deformation and vibrations of beams are frequently encountered as a typical example of structural analysis as well as a mathematical problem.
Huimin Jing +4 more
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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method
Advances in Civil Engineering, 2019 In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve.
Wenjie Guo, Qingsong Feng
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Energy methods for curved composite beams with partial shear interaction
Curved and Layered Structures, 2015 This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its ...
Ecsedi István, Lengyel Ákos József
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Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics [PDF]
, 2013 We obtain accurate eigenvalues for two recently derived SUSY partner Hamiltonians. We improve the Rayleigh-Ritz variational method proposed by the authors and show how to apply the Riccati-Pad\'{e} method to those particular partner ...
Fernández, Francisco M.
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THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
International Journal for Computational Civil and Structural Engineering, 2017 For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the ...
Gaik A. Manuylov
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Bound states for the quantum dipole moment in two dimensions [PDF]
, 2012 We calculate accurate eigenvalues and eigenfunctions of the Schr\"odinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation.
Amore, Paolo, Fernández, Francisco M
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