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Results 1 - 10
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1,945
Nonlinear Vibrations of Elastic Beams
, 2013
"... In this paper is studied the free vibrations of beams with axial load (nonlinear geometrical vibrations). The elastic beam is considered to have continuous mass. This problem can be included into ∞ dynamical degree of freedom systems. The mode shapes functions and natural frequencies are determined ..."
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In this paper is studied the free vibrations of beams with axial load (nonlinear geometrical vibrations). The elastic beam is considered to have continuous mass. This problem can be included into ∞ dynamical degree of freedom systems. The mode shapes functions and natural frequencies are determined
COMPUTATION OF EIGENFRECUENCIES FOR ELASTIC BEAMS, A COMPARATIVE APPROACH
"... Computation of eigenfrecuencies for elastic beams, a comparative approach ..."
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Computation of eigenfrecuencies for elastic beams, a comparative approach
WAVE IMPACT ON CRACKED ELASTIC BEAM
"... ABSTRACT: The impact of an elastic cracked plate of nite length that is dropped against a liquid free surface is analyzed. The problem is considered within the Wagner theory. The liquid
ow is two-dimentional, symmetric and potential. The presence of a crack is modelled with the help of a torsional ..."
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ABSTRACT: The impact of an elastic cracked plate of nite length that is dropped against a liquid free surface is analyzed. The problem is considered within the Wagner theory. The liquid
ow is two-dimentional, symmetric and potential. The presence of a crack is modelled with the help of a torsional
Buckling of elastic beams by the Haar wavelet method
- Estonian J. Engg
, 2011
"... Abstract. The Haar wavelet method is applied for solving different problems of buckling of elastic beams. Solutions are given for the following problems: (i) beams with intermediate supports, (ii) crack simulation, (iii) beams with variable cross-section, (iv) buckling and vibrations of beams on an ..."
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Cited by 1 (0 self)
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Abstract. The Haar wavelet method is applied for solving different problems of buckling of elastic beams. Solutions are given for the following problems: (i) beams with intermediate supports, (ii) crack simulation, (iii) beams with variable cross-section, (iv) buckling and vibrations of beams
Synchronization of coupled self-excited elastic beams
, 2008
"... The behavior of four coupled self-excited elastic beams is numerically studied using the finite-difference method. Self-excitation is modeled by adding a van der Pol damping term. Coupling based on shared boundary conditions at the roots of the beams is proposed, and the influence of the coupling on ..."
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The behavior of four coupled self-excited elastic beams is numerically studied using the finite-difference method. Self-excitation is modeled by adding a van der Pol damping term. Coupling based on shared boundary conditions at the roots of the beams is proposed, and the influence of the coupling
Convergence of equilibria of three-dimensional thin elastic beams
, 2006
"... A convergence result is proved for the equilibrium configurations of a three-dimensional thin elastic beam, as the diameter h of the cross-section goes to zero. More precisely, we show that stationary points of the nonlinear elastic functional E h, whose energies (per unit cross-section) are bounded ..."
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Cited by 10 (1 self)
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A convergence result is proved for the equilibrium configurations of a three-dimensional thin elastic beam, as the diameter h of the cross-section goes to zero. More precisely, we show that stationary points of the nonlinear elastic functional E h, whose energies (per unit cross
ON THE STABILITY BEHAVIOUR OF ELASTIC BEAMS UNDER INTERNAL PRESSURE
"... Scientific reception of the term ”stability ” stresses steady adaptation to its changing fields of application. Nevertheless, the determination of cri-tical forces remains one of the main tasks of stability theories. We exem-plify some classes of the stability loss in beams under internal pressure f ..."
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for the static case. Additionally, we analyse in more detail the dynamic stability of beams under internal pressure and demonstrate means to keep an equilibrium. Key words: stability, elastic beam, dynamic modelling 1. Static cases of loss of stability Best known examples for the loss of stability under static
Bifurcation solutions of elastic beams equation with small perturbation, Int
- journal of Mathematical Analysis
"... Abstract. In this paper bifurcation solution of elastic beams equation has been studied by using local method of Lyapunov-Schmidt. The bifurcation equation corresponding to the elastic beams equation has been found as a finite system of two equations. Also, the Discriminant set (bifurcation set) of ..."
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Cited by 3 (3 self)
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Abstract. In this paper bifurcation solution of elastic beams equation has been studied by using local method of Lyapunov-Schmidt. The bifurcation equation corresponding to the elastic beams equation has been found as a finite system of two equations. Also, the Discriminant set (bifurcation set
Convergence of equilibria of planar thin elastic beams
- Indiana Univ. Math. J
"... Abstract. We consider a thin elastic strip Ωh = (0, L) × (−h/2, h/2), and we show that stationary points of the nonlinear elastic energy (per unit height) E h (v) = 1 (W(∇v) − h h Ωh 2 g(x1) · v)dx whose energy is bounded by Ch 2 converge to stationary points of the Euler-Bernoulli functional J2 ..."
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Cited by 5 (0 self)
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Abstract. We consider a thin elastic strip Ωh = (0, L) × (−h/2, h/2), and we show that stationary points of the nonlinear elastic energy (per unit height) E h (v) = 1 (W(∇v) − h h Ωh 2 g(x1) · v)dx whose energy is bounded by Ch 2 converge to stationary points of the Euler-Bernoulli functional J
A Procedure for Multiple Damage Identification in Elastic Beams
, 2005
"... This paper concerns with the identification of multiple cracks in a beam by measurements of the damage-induced variations in the static deflection of the beam under a prescribed load condition. Each crack is simulated by an equivalent linear elastic rotational spring connecting the two adjacent segm ..."
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This paper concerns with the identification of multiple cracks in a beam by measurements of the damage-induced variations in the static deflection of the beam under a prescribed load condition. Each crack is simulated by an equivalent linear elastic rotational spring connecting the two adjacent
Results 1 - 10
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1,945
