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Showing 1-20 of 8,330 results
  1. Wrinkling in graded core/shell systems using symplectic formulation

    Wrinkles in flat graded elastic layers have been recently described as a time-varying Hamiltonian system by the energy method. Cylindrical core/shell...

    Yaqi Guo, Guohua Nie in Applied Mathematics and Mechanics
    Article 29 November 2023
  2. Dynamics of a rotating ring-stiffened sandwich conical shell with an auxetic honeycomb core

    The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers...

    S. Jahangiri, A. Ghorbanpour Arani, Z. Khoddami Maraghi in Applied Mathematics and Mechanics
    Article 05 June 2024
  3. A balanced finite-element method for an axisymmetrically loaded thin shell

    We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly...

    Norbert Heuer, Torsten Linss in Applications of Mathematics
    Article Open access 30 January 2024
  4. Snap-through behaviors and nonlinear vibrations of a bistable composite laminated cantilever shell: an experimental and numerical study

    The snap-through behaviors and nonlinear vibrations are investigated for a bistable composite laminated cantilever shell subjected to transversal...

    Lele Ren, Wei Zhang, ... Yufei Zhang in Applied Mathematics and Mechanics
    Article 29 April 2024
  5. Free Vibrations of a Cylindrical Shell Reinforced by an Elastic Annular Rib

    We propose an algorithm for the evaluation of frequencies and forms of natural vibrations of a thin-walled circular cylindrical shell reinforced by a...

    V. A. Trotsenko, Yu. V. Trotsenko in Journal of Mathematical Sciences
    Article 13 July 2023
  6. A Geometrically Nonlinear Cosserat (Micropolar) Curvy Shell Model Via Gamma Convergence

    Maryam Mohammadi Saem, Ionel-Dumitrel Ghiba, Patrizio Neff in Journal of Nonlinear Science
    Article 13 June 2023
  7. Quaternionic Davis–Wielandt Shell in a Right Quaternionic Hilbert Space

    We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space....

    Aref Jeribi, Kamel Mahfoudhi in Ukrainian Mathematical Journal
    Article 09 November 2023
  8. Wave Dynamics of a Gas Bubble Covered with a Hyperelastic Shell in a Viscoelastic Liquid

    Abstract

    A modified Rayleigh–Plesset equation that takes into account the radial oscillations of a gas bubble covered with a hyperelastic shell and...

    Yu. V. Fedorov, D. D. Gubaidullina in Lobachevskii Journal of Mathematics
    Article 01 May 2023
  9. The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt dam** patches

    By considering electromechanical coupling, a unified dynamic model of the cylindrical shell with the piezoelectric shunt dam** patch (PSDP) is...

    Dongxu Du, Jun Yang, ... Kunpeng Xu in Applied Mathematics and Mechanics
    Article 30 September 2023
  10. Vibration of Conjugated Shell Systems Under Combined Static Loads

    We propose a mathematical model of vibration of elastic systems formed by conjugated shells of revolution with different geometry in the field of...

    Ya. M. Grigorenko, O. I. Bespalova, N. P. Boreiko in Journal of Mathematical Sciences
    Article 26 May 2023
  11. Free Vibrations of a Cylindrical Shell with a Cap. II. Analysis of the Spectrum

    Abstract

    In this paper, the lowest eigenfrequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end...

    G. A. Nesterchuk, A. L. Smirnov, S. B. Filippov in Vestnik St. Petersburg University, Mathematics
    Article 08 June 2023
  12. Numerical Determination of the Splitting of Natural Frequencies of a Thin-Walled Shell with Small Nonaxisymmetric Imperfections of the Middle Surface

    Abstract

    Based on the perturbation method, the task of determining the frequency spectrum splitting of elastic thin-walled shell, the geometry of...

    O. Naraykin, F. Sorokin, S. Kozubnyak in Mathematical Models and Computer Simulations
    Article 03 September 2023
  13. Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis

    Abstract

    The low eigenfrequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap in the form of...

    S. B. Filippov, A. L. Smirnov, G. A. Nesterchuk in Vestnik St. Petersburg University, Mathematics
    Article 01 March 2023
  14. Existence and uniqueness of minimizing solution for a nonlinear clamped cylindrical shell model

    In this paper, by using the inverse function theorem, we will establish the existence of a solution to the nonlinear clamped cylindrical shell model...

    Article 12 June 2024
  15. On the Optimality Conditions in the Weight Minimization Problem for a Shell of Revolution at a Given Vibration Frequency

    Abstract

    We consider shallow elastic shells with a given circular boundary and seek an axisymmetric shell shape minimizing the weight at a given...

    M. H. Arabyan in Differential Equations
    Article 01 September 2023
  16. Free Vibration Analysis of a Cylindrical Shell of Variable Thickness Partially Filled with Fluid

    The paper investigates the natural vibration frequencies of circular cylindrical shells of revolution completely or partially filled with an ideal...

    S. A. Bochkarev, V. P. Matveenko in Proceedings of the Steklov Institute of Mathematics
    Article 01 August 2023
  17. Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell

    Uniform stabilization of a structural acoustic model describing an acoustic chamber with flexible curved wall is addressed. The coupled nonlinear...

    **g Li, Shugen Chai in Applied Mathematics & Optimization
    Article 07 April 2023
  18. Solution of the Problem of Stressed State for a Closed Elastoplastic Cylindrical Shell Containing a Crack in the Complex Form

    To study the stressed state and limit equilibrium of a closed elastoplastic cylindrical shell containing a plane longitudinal internal crack of any...

    I. S. Kostenko, T. M. Nykolyshyn, M. Yo. Rostun in Journal of Mathematical Sciences
    Article 01 February 2024
  19. Investigation of Light Scattering by Plasmonic Core-Shell Nanoparticles via the Discrete Sources Method Accounting for the Surface Quantum Effect

    Abstract

    In this paper, we investigate the influence of the surface quantum effect on the absorption cross section and the field enhancement factor of...

    Yu. A. Eremin, V. V. Lopushenko in Lobachevskii Journal of Mathematics
    Article 01 November 2023
  20. Theoretical and experimental investigation of the resonance responses and chaotic dynamics of a bistable laminated composite shell in the dynamic snap-through mode

    The dynamic model of a bistable laminated composite shell simply supported by four corners is further developed to investigate the resonance...

    Meiqi Wu, Pengyu Lv, ... Wei Zhang in Applied Mathematics and Mechanics
    Article 04 April 2024
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