Lucas Polynomial Solution of the Single Degree of Freedom System
DOI:
https://doi.org/10.52460/src.2023.002Keywords:
Vibration Spring-mass-damper system, Lucas polynomials and series, Collocation points and matrix methodAbstract
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 Lucas 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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Published
2023-01-31
How to Cite
BAYKUS SAVASANERIL, N. (2023). Lucas Polynomial Solution of the Single Degree of Freedom System. Scientific Research Communications, 3(1). https://doi.org/10.52460/src.2023.002
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Fundamental Sciences
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