Oscillations of a pendulum under parametric excitation
نویسندگان
چکیده
منابع مشابه
Synchronization of Self-oscillations by Parametric Excitation
This paper is devoted to the problem of synchronization of symmetrically coupled self-oscillators exhibiting chaos by means of chaos control technique. We use a nonfeedback method of control, in particular, high frequency periodic modulation of the coefficient of coupling. The model of Chua’s circuits coupled via capacity is considered in this work. We study the possibility of synchronization i...
متن کاملDamping Angular Oscillations of a Pendulum under State Constraints
This paper considers the problem of damping the oscillation of a plane pendulum by moving the pivot in the vertical plane and the weight along the rod of the pendulum, with limited amplitudes. Conditions for stability of the motion of the pendulum are derived using energybased methods, and based on them energy-based controls satisfying the amplitude constraints are developed, which move the piv...
متن کاملSound Wave Propagation in a Multiferroic Thermo Elastic Nano Fiber Under the Influence of Surface Effect and Parametric Excitation
This study investigates that the sound wave propagation of multiferroic thermo elastic Nanofibers under the influence of surface effect and parametric excitation via Timoshenko form of beam equations. The equation of analytical model is obtained for Nanofiber through shear and rotation effect. The solution of the problem is reached through the coupled time harmonic equations in flexural directi...
متن کاملOscillations of a quadratically damped pendulum
A physical pendulum consisting of a circular disk at the end of a thin metal rod is connected to a low-friction rotary motion sensor, so that its angular position and velocity can be accurately measured. The disk can be oriented either perpendicular or parallel to the plane of swing to give significant or negligible air drag, respectively. The motion is analytically modeled in phase space. A qu...
متن کاملBifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation
This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two parameters space (excitation's frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1963
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/153149