Vibration-based estimation of axial force for a beam member with uncertain boundary conditions

Suzhen Li; Edwin Reynders; Kristof Maes; Guido De Roeck

doi:10.1016/j.jsv.2012.10.019

Stability and Natural Characteristics of a Supported Beam

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.338.467 ◽

2011 ◽

Vol 338 ◽

pp. 467-472 ◽

Cited By ~ 1

Author(s):

Ji Duo Jin ◽

Xiao Dong Yang ◽

Yu Fei Zhang

Keyword(s):

Eigenvalue Problem ◽

Boundary Conditions ◽

Axial Force ◽

Critical Values ◽

Rotational Spring ◽

Analytical Expression ◽

The Stability ◽

Spring Constants ◽

Critical Axial Force ◽

Natural Characteristics

The stability, natural characteristics and critical axial force of a supported beam are analyzed. The both ends of the beam are held by the pinned supports with rotational spring constraints. The eigenvalue problem of the beam with these boundary conditions is investigated firstly, and then, the stability of the beam is analyzed using the derived eigenfuntions. According to the analytical expression obtained, the effect of the spring constants on the critical values of the axial force is discussed.

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Minimal requirements for the vibration-based identification of the axial force, the bending stiffness and the flexural boundary conditions in cables

Journal of Sound and Vibration ◽

10.1016/j.jsv.2021.116326 ◽

2021 ◽

pp. 116326

Author(s):

M. Geuzaine ◽

F. Foti ◽

V. Denoël

Keyword(s):

Boundary Conditions ◽

Axial Force ◽

Bending Stiffness

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Influence of the Parameterization in the Interval Solution of Elastic Beams

Journal of Structures ◽

10.1155/2014/395213 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5 ◽

Cited By ~ 1

Author(s):

Stefano Gabriele ◽

Valerio Varano

Keyword(s):

Boundary Conditions ◽

Closed Form ◽

Interval Analysis ◽

Elastic Beam ◽

Elastic Beams ◽

Analysis Theory ◽

Set Intersection ◽

Interval Solution ◽

Uncertain Boundary

We are going to analyze the interval solution of an elastic beam under uncertain boundary conditions. Boundary conditions are defined as rotational springs presenting interval stiffness. Developments occur according to the interval analysis theory, which is affected, at the same time, by the overestimation of interval limits (also known as overbounding, because of the propagation of the uncertainty in the model). We suggest a method which aims to reduce such an overestimation in the uncertain solution. This method consists in a reparameterization of the closed form Euler-Bernoulli solution and set intersection.

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Buckling Analysis of Tubular Strings in Horizontal Wells

SPE Journal ◽

10.2118/171551-pa ◽

2014 ◽

Vol 20 (02) ◽

pp. 405-416 ◽

Cited By ~ 17

Author(s):

Wenjun Huang ◽

Deli Gao ◽

Fengwu Liu

Keyword(s):

Boundary Conditions ◽

Axial Force ◽

Shear Force ◽

Virtual Work ◽

Bending Moment ◽

Horizontal Wells ◽

Comprehensive Description ◽

New Model ◽

First Category ◽

Second Category

Summary A new buckling equation in horizontal wells is derived on the basis of the general bending and twisting theory of rods. The boundary conditions of a long tubular string are divided into two categories: the sum of the virtual work of bending moment and shear force at the ends of tubular strings is equal to zero, and the sum of the virtual work of bending moment and shear force at the ends is not equal to zero. Buckling solutions under different boundary conditions are obtained by solving the new buckling model. For the boundary conditions of the first category, the buckling solutions are identical with previous results. For the boundary conditions of the second category, the buckling solutions are different from the results under the boundary conditions of the first category. The results indicate that buckling behaviors depend on both the axial force and the boundary conditions. Compared with previous results, buckling solutions of the new model provide a more comprehensive description of tubular-buckling behaviors.

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Influence of uncertain boundary conditions and model structure on flood inundation predictions

Advances in Water Resources ◽

10.1016/j.advwatres.2005.11.012 ◽

2006 ◽

Vol 29 (10) ◽

pp. 1430-1449 ◽

Cited By ~ 238

Author(s):

Florian Pappenberger ◽

Patrick Matgen ◽

Keith J. Beven ◽

Jean-Baptiste Henry ◽

Laurent Pfister ◽

...

Keyword(s):

Boundary Conditions ◽

Model Structure ◽

Flood Inundation ◽

Uncertain Boundary

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Influence of Axial Force on the Vibration of Euler-Bernoulli Beam Structures Solved by DQEM Using EDQ

Volume 1: Offshore Technology; Offshore Wind Energy; Ocean Research Technology; LNG Specialty Symposium ◽

10.1115/omae2006-92209 ◽

2006 ◽

Author(s):

Chang-New Chen

Keyword(s):

Boundary Conditions ◽

Axial Force ◽

Differential Quadrature ◽

Analysis Model ◽

Bernoulli Beam ◽

Beam Structures ◽

Differential Quadrature Element Method ◽

Quadrature Element Method ◽

Euler Bernoulli Beam ◽

Element Boundary

The influence of axial force on the vibration of Euler-Bernoulli beam structures is analyzed by differential quadrature element method (DQEM) using extended differential quadrature (EDQ). The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

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