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Start Over Author "Jian-Gang Zhang" Publisher university of nis, faculty of mechanical engineering

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1. APPLICATION OF HE’S FREQUENCY FORMULA TO NONLINEAR OSCILLATORS WITH GENERALIZED INITIAL CONDITIONS.

Author

Jian-Gang Zhang, Qing-Ru Song, Jian-Qiang Zhang, and Fang Wang

Subjects
*DUFFING equations, *NONLINEAR systems, *NONLINEAR oscillators, *RELIABILITY in engineering, *ENGINEERS, *MATHEMATICS
Abstract

This paper focuses on the vibration periodic property of Duffing oscillator with generalized initial conditions. Firstly, the undamped case is solved by Ji-Huan He’s frequency formulation; Secondly, the formulation is extended to the damped case. Numerical verification shows that the frequency formulation is mathematically simple and physically insightful and practically applicable. This paper paves a novel way for engineers to use the formulation to study nonlinear vibration system with ease and reliability. [ABSTRACT FROM AUTHOR]

Published
2023
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