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Showing 1-20 of 3,778 results
  1. Nonlinear vibrations of a composite circular plate with a rigid body

    The influence of weights is usually ignored in the study of nonlinear vibrations of plates. In this paper, the effect of structure weights on the...

    Ying Meng, **aoye Mao, ... Liqun Chen in Applied Mathematics and Mechanics
    Article Open access 30 May 2023
  2. On Nonlinear Lateral Vibrations of Rotating Rods Under the Effect of Initial Stress

    In this paper, we study nonlinear lateral vibrations of a simply supported rotating rod under the effect of initial stress and external loadings. The...
    Lelya Khajiyeva, Askar Kudaibergenov, ... Aliya Umbetkulova in Perspectives in Dynamical Systems II — Numerical and Analytical Approaches
    Conference paper 2024
  3. 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
  4. Utilization of nonlinear vibrations of soft pipe conveying fluid for driving underwater bio-inspired robot

    Creatures with longer bodies in nature like snakes and eels moving in water commonly generate a large swaying of their bodies or tails, with the...

    Huliang Dai, Yixiang He, ... P. Hagedorn in Applied Mathematics and Mechanics
    Article Open access 25 May 2022
  5. Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects

    Abstract

    Beam vibrations with allowance for deformation effects in the transverse direction are modeled using a nonlinear Sobolev-type differential...

    Article 01 November 2023
  6. The Problem of Two-Dimensional String Vibrations with a Nonlinear Condition

    Abstract

    We study a model of small spatial transverse vibrations of a string where the deviation of any of its points from the equilibrium is...

    M. B. Zvereva in Differential Equations
    Article 01 August 2023
  7. Forced and Parametric Vibrations of a Composite Plate Caused by Its Resonant Bending Vibrations

    Abstract

    For a rod-strip based on the Timoshenko shear model of the first order of accuracy, taking into account the transverse shear and compression...

    V. N. Paimushin, M. V. Makarov, S. F. Chumakova in Russian Mathematics
    Article 01 October 2022
  8. Nonlinear Vibrations of an Uncertain Dual-Rotor Rolling Bearings System with Coupling Misalignment

    In this paper, the nonlinear vibration responses of a dual-rotor system supported on the ball bearings considering coupling misalignment are...

    Chao Fu, Kuan Lu, ... Anbo Ming in Journal of Nonlinear Mathematical Physics
    Article Open access 02 March 2022
  9. Nonlinear Modal Interaction between Longitudinal and Bending Vibrations of a Beam Resonator under Periodic Thermal Loading

    Abstract

    The paper investigates the nonlinear modal interaction of longitudinal and flexural vibrations of a beam resonator under periodic thermal...

    N. I. Morozov, D. A. Indeitsev, ... L. V. Shtukin in Vestnik St. Petersburg University, Mathematics
    Article 01 June 2022
  10. Nonlinear free vibrations of porous composite microplates incorporating various microstructural-dependent strain gradient tensors

    The main objective of the present numerical analysis is to predict the nonlinear frequency ratios associated with the nonlinear free vibration...

    Duquan Zuo, B. Safaei, ... Guoling Ma in Applied Mathematics and Mechanics
    Article 07 June 2022
  11. Axisymmetric Resonant Vibrations and Vibration Heating of an Inelastic Cylindrical Shell Compliant to Shear with Piezoelectric Actuators and Rigidly Fixed End Faces

    We consider the problem of axisymmetric resonance vibrations of an inelastic cylindrical shell compliant to shear with piezoelectric actuators under...

    I. F. Kyrychok, Ya. O. Zhuk, ... A. P. Tarasov in Journal of Mathematical Sciences
    Article 25 May 2023
  12. Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges

    Free vibrations are analyzed for isotropic plates in the form of isosceles triangles. We deduce the formula for the evaluation of the frequencies of...

    O. Ya. Grigorenko, M. Yu. Borysenko, O. V. Boychuk in Journal of Mathematical Sciences
    Article 29 May 2023
  13. Natural Vibrations of Composite Cylindrical Shells Partially Filled with Fluid

    Abstract

    The paper presents the results of studies of natural vibrations of circular vertical layered cylindrical shells completely or partially...

    S. A. Bochkarev, S. V. Lekomtsev, V. P. Matveenko in Vestnik St. Petersburg University, Mathematics
    Article 01 December 2023
  14. Linear and Nonlinear Development of Bending Perturbations in a Fluid-Conveying Pipe with Variable Elastic Properties

    Abstract

    We consider bending vibrations of a fluid-conveying pipe resting on an elastic foundation with nonuniform elasticity coefficient. Previously...

    K. E. Abdul’manov, V. V. Vedeneev in Proceedings of the Steklov Institute of Mathematics
    Article 01 September 2023
  15. Refined Geometrically Nonlinear and Linear Equations of Motion of an Elongated Rod-Type Plate

    Abstract

    New refined geometrically nonlinear equations of motion of composite elongated rod-type plates in plane stress-strain state are derived for...

    V. N. Paimushin, A. M. Kamalutdinov in Lobachevskii Journal of Mathematics
    Article 01 October 2023
  16. Nonreciprocity of energy transfer in a nonlinear asymmetric oscillator system with various vibration states

    The nonreciprocity of energy transfer is constructed in a nonlinear asymmetric oscillator system that comprises two nonlinear oscillators with...

    Jian’en Chen, Jianling Li, ... Min Sun in Applied Mathematics and Mechanics
    Article 23 April 2023
  17. Multiple Periodic Vibrations of Auxetic Honeycomb Sandwich Plate with 1:2 Internal Resonance

    In this paper, we focus on the multiple periodic vibration behaviors of an auxetic honeycomb sandwich plate subjected to in-plane and transverse...

    Shaotao Zhu, **g Li, ... Ji Zhou in Journal of Nonlinear Mathematical Physics
    Article Open access 04 March 2022
  18. Symmetric vibrations of higher dimensional nonlinear wave equations

    We prove a result characterizing conditions for the existence and uniqueness of solutions of a certain Diophantine equation, then using techniques...

    Nemanja Kosovalić, Brian Pigott in Selecta Mathematica
    Article 01 March 2022
  19. Dynamics and vibration reduction performance of asymmetric tristable nonlinear energy sink

    With its complex nonlinear dynamic behavior, the tristable system has shown excellent performance in areas such as energy harvesting and vibration...

    Hongyan Chen, Youcheng Zeng, ... Liqun Chen in Applied Mathematics and Mechanics
    Article Open access 11 March 2024
  20. Cross-sectional war** and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams

    The war** may become an important factor for the precise transverse vibrations of curved beams. Thus, the first aim of this study is to specify the...

    U. N. Aribas, M. Aydin, ... M. H. Omurtag in Applied Mathematics and Mechanics
    Article 29 November 2023
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