A New Differential Operator Method to Study the Mechanical Vibration

Show more

References

[1] Department of Mathematics, Shanghai Tongji University, “Advanced Mathematics I,” 6th Edition (in Chinese), Publishing House of High Education, Beijing, 2007, pp. 350-352.

[2] C. H. Edwards and D. E. Penney, “Elementary Differential Equations,” 6th Edition, Pearson Prentice Hall, Upper Saddle River, 2008, pp. 340-345.

[3] S. E. Kerufunikefu, “Mechanical Dynamics with Elastic Key Ring,” (in Russian, No Further Version), Kiev, 1961, pp. 86-89.

[4] “Mathematics Handbook,” (in Chinese), Publishing House of People Education, Beijing, 1979, pp. 675-677 (reprinted by Publishing House of High Education, Beijing, 1999).

[5] R. P. Agnew, “Differential Equations,” 2nd Edition, McGRAW-HILL, BOOK COMPANY, INC., New York, Toronto, London, 1960, pp.216-250.

[6] L. E. El’sgol’ts, “Differential Equations,” in the Series International Monographs on Advanced Mathematics and Physics, Gordon and Breach Publishers, Inc., New York, and Hindustan Publishing Corporation, Delhi, 1961, pp. 145-155.

[7] C.-S. Ji, “A New Solution of Constant Differential Equation Group by Differential Operator and Application in Calculating Rolling-Mill Torsion Vibration,” Proceedings of the 6th International Modal Analysis Conference, Kissimmee, 1-4 February 1988, pp. 598-602.

[8] Z. Zheng, “Mechanical Vibration I,” (in Chinese), Publishing House of Mechanical Industry, Beijing, 1980.

[9] “Mechanical Design Handbook,” (in Chinese), Publishing House of Chemical Industry, Beijing, 2009.