A Model for Analyzing the Startup Dynamics of a Belt Transmission Driven by a DC Motor
Authors: Giovanni Incerti
Abstract:
In this paper the vibration of a synchronous belt drive during start-up is analyzed and discussed. Besides considering the belt elasticity, the model here proposed also takes into consideration the electromagnetic response of the DC motor. The solution of the motion equations is obtained by means of the modal analysis in state space, which allows to obtain the decoupling of all equations, without introducing the hypothesis of proportional damping. The mathematical model of the transmission and the solution algorithms have been implemented within a computing software that allows the user to simulate the dynamics of the system and to evaluate the effects due to the elasticity of the belt branches and to the electromagnetic behavior of the DC motor. In order to show the details of the calculation procedure, the paper presents a case study developed with the aid of the above-mentioned software.
Keywords: Belt drive, Vibrations, Startup, DC motor.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1094727
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 3099References:
[1] Iwatsubo T., Hasegawa K., Arii S., Shiohata K., "The Formulation and Dynamic Analysis of a Multiple Belt System”, Journal of Sound and
[2] Lee K.M., Rutherford C., "Frequency reshaped quadratic control of a 95-110 (1999).
[3] Al-Dwairi A.F., Al-Lubani S.E., "Modeling and dynamic analysis of a planetary mechanism with an elastic belt”, Mechanism and Machine
[4] Kelly S.G., "Mechanical Vibrations - Theory and applications”, Cengage Learning (2012).
[5] Kr¨amer E., Dinamica delle macchine - Calcolo delle Vibrazioni, Traduzione italiana a cura di A. Barozzi, Pitagora Editrice (1995).
[6] Meirovich L., Fundamentals of Vibrations, McGraw-Hill Higher Education (2001).
[7] Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P., Numerical Recipes in C, Cambridge University Press (1992).