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Vibration Damping in the Double Mathematical Pendulum with Variable Mass

Kwiatkowski R.

Machine Dynamics Research

2014

Vol. 38, No. 4

23-32

The intention of this paper is analysis of the dynamics of the double mathematical pendulum with variable mass. Under the influence of gravity, mass exchange occurs between the upper and the lower member of the pendulum. Variable mass systems are a mechanical systems that lose and/or gain mass while in motion. Mass of the whole system is fixed. Different tilt angle of the lower part of the pendulum was used toforce traffic. Other initial extortion will be constant. There were using the Lagrange equations 2nd type for the analysis purpose of system dynamics. It has been shown that the increase in mass of the lower member of the pendulum and the adopted parameters and initial conditions results in reducing the vibration amplitude.

Movement of Double Mathematical Pendulum with Variable Mass

Kwiatkowski R.

Machine Dynamics Research

2014

Vol. 38, No. 2

47-58

The article presents an analysis of the dynamics of the mathematical pendulum, where under the influence of gravity, mass exchange occurs between the upper and the lower member of the pendulum. Mass of the whole system is fixed. Different initial velocity was used of force traffic. It has been shown that the increase in mass of the lower member of the pendulum and the adopted parameters and initial conditions results in reducing the vibration amplitude. The numerical calculations were performer in the Mathematica package.