Nonlinear elastic beam equation
Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation
... Problem (5.1) has caused great attention since it generalizes the well-known elastic beam equation [46]. In [47], Goodrich first obtained some properties of the Green’s function cor- responding to ...
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Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation
... The subspace we are looking for should satisfy two conditions other than complete- ness: first, it should be invariant under the operator Ψ . Second, the restriction of Ψ to it should be contractive. Once we proved in ...
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The analysis of a Beam Made of Physical Nonlinear Material on Elastic Foundation Under a Harmonic Load
... From Equation (24), it can be concluded that the resonance of the system depends on the velocity and the circular frequency of ...considering Equation (13), the deflection of beam can be derived as ...
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A Note on a Beam Equation with Nonlinear Boundary Conditions
... arises naturally in the study of the displacement u ut of an elastic beam when we suppose that, along its length, a load is added to cause deformations. This classical problem has been widely studied under ...
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Online Full Text
... supported nonlinear beam resting on linear elastic foundation and subjected to harmonic loading is ...oscillator equation is obtained. The equation is analyzed numerically using ...
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Nonlocal beam theory for nonlinear vibrations of a nanobeam resting on elastic foundation
... study, nonlinear vibrations of an Euler-Bernoulli nanobeam resting on an elastic foundation is studied using nonlocal elasticity ...The nonlinear equation of motion is obtained by including ...
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Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation
... of elastic beams on nonlinear elastic ...flexible elastic beam of length is clamped at its left end x = and resting on an elastic device at its right end x = , which is given ...
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Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter
... of elastic beam equations with a parameter λ ...the beam is fixed at one end and attached to a bearing device or freed at the other ...the beam equation has at least two, one, and no ...
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Existence of positive solutions to a non-positive elastic beam equation with both ends fixed
... This article is concerned with the existence of nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive solutions for a semipositive fourth-order ...
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New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions
... for nonlinear fourth-order boundary value problems has been studied by some authors, see [, , ] for ...an elastic beam equation with a ...
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A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation
... In this section, we apply the method presented in Section 3 to solve the following two test examples. The observations are depicted through Figures 1 and 2. Fig- ures 1 and 2 show the comparison between the obtained ...
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Boundary Stabilization of a More General Kirchhoff Type Beam Equation
... was set up by Ball [7], who presented the existence and uniqueness of solution under linear boundary conditions. However the global solution and exponential decay for the more general beam equation is open ...
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Transverse Vibration Analysis of Single Walled Carbon Nanotubes Embedded in an Elastic Medium Using Bernoulli Fourier Method
... Timoshenko beam theory and Bernoulli-Fourier method, a single-elastic beam model is developed for transverse vibrations of single-walled carbon nanotubes under additional axial load, which includes ...
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Dynamic Analysis of Axially Beam on Visco - Elastic Foundation with Elastic Supports under Moving Load
... differential equation by the method of separation of variables includes vertical displacement of beam in term of two functions with variables of “x” and “t”, the equation of free vibrations without ...
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A nonlinear boundary value problem associated with the static equilibrium of an elastic beam supported by sliding clamps
... R., Nonuniform Non-Resonance Conditions at the Two First Eigenvalues for Periodic Solutions of Forced Lienard and Dung Equations, Rocky Mountain J.. R., Periodic Solutions of Some Forced[r] ...
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Mathematical modeling for tsunami waves using lattice boltzmann method
... The purpose of this research is to use the Lattice Boltzmann method (LBM) to solve Seismic (Earthquake) and Tsunami waves modelling and to provide a more accurate value of actual data. This work will evaluate, using ...
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On decay and blow-up of solutions for a nonlinear beam equation with double damping terms
... In the present paper, we study the existence and uniqueness of the global weak solution for the initial boundary value problem (1.1)–(1.3). And then we focus on finding sufficient conditions yielding nonexistence of a ...
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Geometrically Non-Linear Dynamic Analysis of Thin-Walled Beams
... The first example considered is a simply supported beam subjected to uniform load as shown in Fig. 2. This example was analyzed by [6]. Twenty elements are used for discretization. A time step size of Δt = 0 . 001 ...
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Derivation of the Effective Nonlinear SchrÖDinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing
... solitons beam size cannot be smaller than half the carrier wavelength in the transverse magnetic (TM) ...on nonlinear guided waves in metallic/dielectric structures localized in the transverse dimension ...
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The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... (KdV) equation, which was first derived by Boiti et al ...KdV equation has rich solutions, such as multi-soliton solutions and dromion ...KdV equation is nothing but the Plücker identity when its τ ...
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