A New Differential Operator Method to Study the Mechanical Vibration

HTML  Download Download as PDF (Size: 243KB)  PP. 65-70  
DOI: 10.4236/mme.2012.23009    6,185 Downloads   11,091 Views  

ABSTRACT

In this paper, we propose a unified differential operator method to study mechanical vibrations, solving inhomogeneous linear ordinary differential equations with constant coefficients. The main advantage of this new method is that the differential operator D in the numerator of the fraction has no effect on input functions (i.e., the derivative operation is removed) because we take the fraction as a whole part in the partial fraction expansion. The method in various variants is widely implemented in related fields in mechanics and engineering. We also point out that the same mistakes in the differential operator method are found in the related references [1-4].

Share and Cite:

Q. Ji, X. Ji, L. Ji and Y. Zheng, "A New Differential Operator Method to Study the Mechanical Vibration," Modern Mechanical Engineering, Vol. 2 No. 3, 2012, pp. 65-70. doi: 10.4236/mme.2012.23009.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.