An analytical approximate technique for solving cubic–quintic Duffing oscillator
نویسندگان
چکیده
منابع مشابه
Analytical Approximate Solutions for the Helmholtz- Duffing Oscillator
In the present paper, a new analytical technique is introduced for obtaining approximate periodic solutions of Helmholtz-Duffing oscillator. Modified Harmonic Balance Method (MHBM) is adopted as the solution method. A classical harmonic balance method does not apply directly for solving Helmholtz-Duffing oscillator. Generally, a set of difficult nonlinear algebraic equations is found when MHBM ...
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1 Departamento de Fı́sica, Ingenierı́a de Sistemas y Teorı́a de la Señal, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 2 Instituto Universitario de Fı́sica Aplicada a las Ciencias y las Tecnologı́as, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 3 Departamento de Ciencias Médicas, Facultad de Medicina, Universidad de Castilla-La Mancha, C/Almansa No. 14, 02006 Albacete, ...
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ABSTRACT An accurate closed-form solution for the quintic Duffing equation is obtained using a cubication method. In this method the restoring force is expanded in Chebyshev polynomials and the original nonlinear differential equation is approximated by a cubic Duffing equation in which the coefficients for the linear and cubic terms depend on the initial amplitude. The replacement of the origi...
متن کاملVibrational Resonance in an Asymmetric Duffing oscillator
S. JEYAKUMARI, V. CHINNATHAMBI Department of Physics, Sri K.G.S. Arts College, Srivaikuntam 628 619, Tamilnadu, India., S. RAJASEKAR School of Physics, Bharathidasan University, Tiruchirapalli 620 024, Tamilnadu, India. [email protected], and M.A.F. SANJUAN Departamento de F́ısica, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain. [email protected] Abstract We ...
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ژورنال
عنوان ژورنال: Alexandria Engineering Journal
سال: 2016
ISSN: 1110-0168
DOI: 10.1016/j.aej.2016.04.036