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77,783
with branches of variable cross-sectional profiles
, 2012
"... Abstract. We study the behavior of the Laplace operator eigenfunctions in an arbitrary resonator (or waveguide) with branches of variable cross-sectional profiles. When an eigenvalue is below a threshold which is determined by the shape of the branch, the associated eigenfunction is proved to have a ..."
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Abstract. We study the behavior of the Laplace operator eigenfunctions in an arbitrary resonator (or waveguide) with branches of variable cross-sectional profiles. When an eigenvalue is below a threshold which is determined by the shape of the branch, the associated eigenfunction is proved to have
Finite Element Analysis on Crane Girder with Variable Cross Sections Based on ANSYS
, 2013
"... Abstract: To the 36 meters crane girder with trapezoidal variable cross-section in a steel plant, finite element model is established reasonably according its actual size. The calculation of crane girder structure was introduced by using the finite element analysis software ANSYS. The local stress s ..."
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Abstract: To the 36 meters crane girder with trapezoidal variable cross-section in a steel plant, finite element model is established reasonably according its actual size. The calculation of crane girder structure was introduced by using the finite element analysis software ANSYS. The local stress
A Well-Balanced Scheme For Two-Fluid Flows In Variable Cross-Section ducts
, 2014
"... A well-balanced scheme for two-fluid flows in variable cross-section ducts ..."
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A well-balanced scheme for two-fluid flows in variable cross-section ducts
Analysis of Axially Vibrating Variable CrossSection Isotropic Rod Using DTM
"... Differential Transform Method (DTM) has a very wide applications in the field of structural vibration of various elements such as beams, plates, cylindrical shells and tanks. One of the most advantages of the DTM is its simple forms for nonlinear formulations. In this paper the free vibration of a g ..."
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of the varying cross section area on the vibration are studied. This work reflects the power of the DTM in solving nonuniform problems.
ON A HIERARCHICAL MODEL OF ELASTIC RODS WITH VARIABLE CROSS-SECTIONS
"... The present paper is devoted to the construction and investigation of one-dimensio-nal hierarchical model of elastic rod with variable non-rectangular cross-sections. The three-dimensional static boundary value problem is reduced to a sequence of one-dimensional ones and the existence and uniqueness ..."
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The present paper is devoted to the construction and investigation of one-dimensio-nal hierarchical model of elastic rod with variable non-rectangular cross-sections. The three-dimensional static boundary value problem is reduced to a sequence of one-dimensional ones and the existence
Upper and Lower Bounds of Frequencies for Cantilever Bars of Variable Cross Section
- Trans. ASME JAM
, 1966
"... Invoking the boundary conditions $(0) = = LMr), $(=>) = 0, where <t>o(r) = 4>{t, 0), we determine A and B and rewrite (17) in the form $(??) = e [ft -\ q-1 j" J -j g-V» J The integral equation (20) Substituting where Example We consider the half space described by (13a, 6) wit ..."
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Cited by 1 (0 self)
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) with p = 1, corresponding to the wave-speed distribution Ci(l + £), and the surface loading oo(0 = (r,e-" r . Setting k = (1 + J) 2 and m = 1 in (66) and (9a, 6), we obtain Substituting or, in terms of the original variables, (24) (25) ( 26) The ratio of the second term to the first in Upper
ELECTROMAGNETIC FIELDS IN AN AXIAL SYMMETRIC WAVEGUIDE WITH VARIABLE CROSS SECTION June 1980
"... Abstract-A new class of separable variables is found which allows one to find an approximate analytical solution of the Maxwell equations for axial symmetric waveguides with slow (but not necessarily small) varying boundary surfaces. Two examples of the solution are given. Possible applications and ..."
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Abstract-A new class of separable variables is found which allows one to find an approximate analytical solution of the Maxwell equations for axial symmetric waveguides with slow (but not necessarily small) varying boundary surfaces. Two examples of the solution are given. Possible applications
Stability analysis of steel frames with variable cross-section for sports
"... and entertainment centre ..."
A SPATIAL GEOMETRY APPROACH TO VARIABLE CROSS-SECTION RAIL MODELING: APPLICATION TO SWITCHES AND TURNOUTS
"... Contact between the wheel and rail can have a significant effect on the dynamics of vehicle/track interaction models. Many existing rail surface models rely on curve based geometry which may lead to some geometric inaccuracy in the case of variable cross-section rails. This investigation will focus ..."
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Contact between the wheel and rail can have a significant effect on the dynamics of vehicle/track interaction models. Many existing rail surface models rely on curve based geometry which may lead to some geometric inaccuracy in the case of variable cross-section rails. This investigation will focus
Exponential decay of Laplacian eigenfunctions in domains with branches of variable cross-sectional profiles, Eur
- Phys. J. B
"... Abstract. We consider the eigenvalue problem for the Laplace operator in a planar domain which can be decomposed into a bounded domain of arbitrary shape and elongated “branches ” of variable cross-sectional profiles. When the eigenvalue is smaller than a prescribed threshold, the corresponding eige ..."
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Cited by 5 (1 self)
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Abstract. We consider the eigenvalue problem for the Laplace operator in a planar domain which can be decomposed into a bounded domain of arbitrary shape and elongated “branches ” of variable cross-sectional profiles. When the eigenvalue is smaller than a prescribed threshold, the corresponding
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