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Showing 41-60 of 7,451 results

  1. On the energy decay of a nonlinear time-fractional Euler–Bernoulli beam problem including time-delay: theoretical treatment and numerical solution techniques

    In this work, an extended Euler–Bernoulli beam equation is addressed, where numerous phenomena are covered including dam**, time-delay, and...

    Toufik Bentrcia, Abdelaziz Mennouni in Journal of Engineering Mathematics
    Article 12 April 2024

  3. Applications to the Fractional-Damped Wave Equation

    In this chapter we give some applications of the abstract results of Chap. 2 to the fractional-damped wave...
    Kaïs Ammari, Fathi Hassine, Luc Robbiano in Stabilization for Some Fractional-Evolution Systems
    Chapter 2022

  4. Pattern Bifurcation in a Nonlocal Erosion Equation

    Abstract

    This paper considers a periodic boundary value problem for a nonlinear partial differential equation with a deviating spatial variable. It is...

    D. A. Kulikov in Automation and Remote Control
    Article 01 November 2023

  5. Energy Decay Estimates of Elastic Transmission Wave/Beam Systems with a Local Kelvin–Voigt Dam**

    We consider a beam and a wave equation coupled on an elastic beam through transmission conditions. The dam** that is locally distributed acts...
    Kaïs Ammari, Fathi Hassine in Stabilization of Kelvin-Voigt Damped Systems
    Chapter 2022

  6. Positive Solutions of a Discontinuous One-Dimensional Beam Equation

    We provide sufficient conditions for the existence of one positive solution for a fourth--order beam equation with a discontinuous nonlinear term....

    Jorge Rodríguez-López in Bulletin of the Malaysian Mathematical Sciences Society
    Article 08 January 2021

  7. Laminated Timoshenko beam without complementary dissipation

    In this study, the stability problem of a laminated beam with only structural dam** is analyzed. The results obtained in this study improve the...

    M. S. Alves, R. N. Monteiro in Annali di Matematica Pura ed Applicata (1923 -)
    Article 19 December 2023

  8. Green’s Function and Existence Results for Solutions of Semipositone Nonlinear Euler–Bernoulli Beam Equations with Neumann Boundary Conditions

    Abstract

    In this paper, we are concerned with the existence and multiplicity of positive solutions of the boundary value problem for the fourth-order...

    **g**g Wang, Chenghua Gao, **ngyue He in Mathematical Notes
    Article 15 April 2023

  9. Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback

    This paper considers a one-dimensional thermoelastic Timoshenko beam system with suspenders, general weak internal dam** with time varying...

    Soh Edwin Mukiawa, Cyril Dennis Enyi, Salim A. Messaoudi in Advances in Continuous and Discrete Models
    Article Open access 24 January 2023

  10. Optimal PD-PD and State Feedback Control of Underactuated Ball and Beam System with Uncertainty and Disturbances

    This research paper investigates the optimal control of the ball and beam system, a challenging fourth-degree system that is commonly used in control...
    Yaman Sahu, Bibek Gupta, ... Raafat Shalaby in Mathematical Modeling in Physical Sciences
    Conference paper 2024

  11. Intrinsic Polynomial Squeezing for Balakrishnan-Taylor Beam Models

    We explore the energy decay properties related to a model in extensible beams with the so-called energy dam**. We investigate the influence of the...
    Eduardo H. Gomes Tavares, Marcio A. Jorge Silva, ... André Vicente in Analysis, Applications, and Computations
    Conference paper 2023

  12. Dynamics of a Thermoelastic Balakrishnan–Taylor Beam Model with Fractional Operators

    This paper contains new results about the well-posedness and the asymptotic dynamics of solutions for a general abstract coupled system that arises...

    Eduardo H. Gomes Tavares, Marcio A. Jorge Silva, ... Zhijian Yang in Applied Mathematics & Optimization
    Article 18 December 2023

  13. Three-Dimensional Model for Numerical Simulation of Beam-Plasma Dynamics in Open Magnetic Trap

    Abstract

    We present a three-dimensional model for numerical simulation of beam-plasma dynamics in an open magnetic trap. For specific parameters, it...

    M. A. Boronina, I. S. Chernoshtanov, ... K. V. Vshivkov in Lobachevskii Journal of Mathematics
    Article 01 January 2024

  14. Uniform stability of a thermodiffusion Timoshenko beam

    The main object of the present work is the study of a new Timoshenko beam model with thermal and mass diffusion effects where the coupling is acting...

    Fayssal Djellali, Tijani A. Apalara, Mohamed Zitouni in Partial Differential Equations and Applications
    Article 30 May 2023

  15. Stationary Temperature Field Ensuring the Absence of Thermal Stresses in an Inhomogeneous Rectangular Beam

    We consider the inverse problem of thermoelasticity for a long inhomogeneous rectangular beam under the conditions of constant axial strains in the...

    B. M. Kalynyak in Journal of Mathematical Sciences
    Article 27 August 2022

  16. Effects of local thickness defects on the buckling of micro-beam

    A buckling model of Timoshenko micro-beam with local thickness defects is established based on a modified gradient elasticity. By introducing the...

    Andi Lai, Bing Zhao, ... Chengyun Long in Applied Mathematics and Mechanics
    Article 05 May 2022

  17. Upper Semicontinuity of Pullback Attractors for Nonlinear Full Von Kármán Beam

    In this paper we study the long-time dynamics of pullback attractors for non-autonomous and nonlinear full von Kármán beam and its...

    Moncef Aouadi, Souad Guerine in Acta Applicandae Mathematicae
    Article 03 July 2023

  18. Stability Results for a Laminated Beam with Kelvin–Voigt Dam**

    In this work, we consider a laminated beam subjected to Kelvin–Voigt dam**. Under the semigroup theory approach, applying the Lumer–Phillips...

    A. J. A. Ramos, M. M. Freitas, ... C. A. Raposo in Bulletin of the Malaysian Mathematical Sciences Society
    Article 06 July 2023

  19. Exact Solutions of the Thin Beam with Degrading Hysteresis Behavior

    Abstract

    In the article, a fourth-order partial differential equation for vibration of a homogeneous thin cantilever beam is considered as an...

    A. Hasanov, N. Djuraev in Lobachevskii Journal of Mathematics
    Article 01 December 2021

  20. Determination of the density in a nonlinear elastic wave equation

    This is a continuation of our study (Uhlmann and Zhai in J Math Pures Appl 153:114–136, 2021) on an inverse boundary value problem for a nonlinear...

    Gunther Uhlmann, Jian Zhai in Mathematische Annalen
    Article 04 March 2024
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