Tìm kiếm

Tiêu chí lọc:


Tiêu chí lọc:


Kết quả tìm kiếm

Hiện thị kết quả từ 1 đến 2 của 2
  • <<
  • 1
  • >>
    • Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
    Tác giả : M. K., Abohamer; J., Awrejcewicz; T. S., Amer;  Người hướng dẫn: -;  Đồng tác giả: - (2023)

    This paper focuses on the dynamical analysis of the motion of a new three-degree-of-freedom (DOF) system consisting of two segments that are attached together. External harmonic forces energize this system. The equations of motion (EOM) are derived utilizing Lagrangian equations, and the approximate solutions up to the third order are investigated using the methodology of multiple scales. A comparison between these solutions and numerical ones is constructed to confirm the validity of the analytic solutions. The modulation equations (ME) are acquired from the investigation of the resonance cases and the solvability conditions. The bifurcation diagrams and spectrums of Lyapunov exponent are presented to reveal the different types of the system’s motion and to represent Poincaré maps....
    • Analytical and numerical study of a vibrating magnetic inverted pendulum
    Tác giả : Galal M., Moatimid; T. S., Amer; Marwa H., Zekry;  Người hướng dẫn: -;  Đồng tác giả: - (2023)

    The current study investigates the stability structure of the base periodic motion of an inverted pendulum (IP). A uniform magnetic field affects the motion in the direction of the plane configuration. Furthermore, a non-conservative force as one that dampens air is considered. Its underlying equation of motion is derived from traditional analytical mechanics. The mathematical analysis is made simpler by substituting the Taylor theory in order to expand the restoring forces. The modified Homotopy perturbation method (HPM) is employed to achieve a roughly adequate regular result. To support the prior result, a numerical method based on the fourth-order Runge-Kutta method (RK4) is employed. The graphs for both the analytic and numerical solutions are highly consistent with one another...