On the Vibration Spectrum Analysis of Planar Mechanisms.

Mostafa, M. A.; Shabara, Mohamed; El-Bahloul, A. M.; Fanny, Mohamed Ahmed Mohamed

doi:10.21608/bfemu.2021.172447

On the Vibration Spectrum Analysis of Planar Mechanisms.

Document Type : Research Studies

Authors

¹ Production and Machine Design Engineering Department., Faculty of Engineering., Alexandria University.

² Associate Professor., Production and Machine Design Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

³ Production and Machine Design Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

⁴ Assistant Professor., Production and Machine Design Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

10.21608/bfemu.2021.172447

Abstract

The paper presents a method for the determination of the vibration Spectra of planar mechanisms with arbitrary number of links, which are paired by arbitrary kinds of joints including clearanced turning joints.
The mechanism frames may be supported with an arbitrary number of springs and dashpots having arbitrary locations. The equations of motion of the mechanism frame are formulated and solved numerically together with the equations of motion of the links using Runge-Kutta-Jill method. In doing so, and with the aid of Fast Fourier Transform Algorithm, the frequency spectra of the frame in horizontal, vertical, and angular directions are obtained.
The mathematical model presented may be considered as a basis to construct a computer program which can provide the vibration spectra of any planar mechanism with arbitrary number and locations of clearanced joints just by feeding its mechanism matrix with its data into the computer program.

Main Subjects