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Polynomial solution of the single degree of freedom system by Taylor matrix method

✍ Scribed by Nurcan Kurt; Mehmet Çevik

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
306 KB
Volume
35
Category
Article
ISSN
0093-6413

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✦ Synopsis

Free vibration of a single degree of freedom system is a fundamental topic in mechanical vibrations. The present study introduces a novel and simple numerical method for the solution of this system in terms of Taylor polynomials in the matrix form. Particular and general solutions of the differential equation can be determined by this method. The method is illustrated by a numerical application and the results obtained are compared with those of the exact solution.

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✍ R.S. Ayre 📂 Article 📅 1952 🏛 Elsevier Science 🌐 English ⚖ 557 KB

This paper shows the application of phase-plane graphical methods to transient forced vibrations of undamped, linear systems having more than one degree of freedom. Lumped parameter as well as distributed parameter systems are included. An introductory application to a single-degree-of-freedom syste