An analytical technique to obtain higher-order approximate periods for nonlinear oscillator
نویسندگان
چکیده
منابع مشابه
Analytical Based Truncation Principle of Higher-Order Solution for a x1/3 Force Nonlinear Oscillator
In this paper, a modified harmonic balance method based an analytical technique has been developed to determine higher-order approximate periodic solutions of a conservative nonlinear oscillator for which the elastic force term is proportional to x. Usually, a set of nonlinear algebraic equations is solved in this method. However, analytical solutions of these algebraic equations are not always...
متن کاملAccurate approximate analytical solutions to an anti- symmetric quadratic nonlinear oscillator
In this paper, an analytical technique has been developed based on a modified harmonic balance method to determine higher-order approximate periodic solutions for a nonlinear oscillator with discontinuity for which the elastic force term, is an anti-symmetric and quadratic term. Usually, a set of nonlinear algebraic equations is solved with this method. However, analytical solutions of these al...
متن کاملAnalytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...
متن کاملanalytical-approximate solution for nonlinear volterra integro-di erential equations
in this work, we conduct a comparative study among the combine laplace transform and modi ed adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-diff erential equations of the second kind. the nonlinear part of integro-di fferential is approximated by adomian polynomials, and the equation is red...
متن کاملAnalytical 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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IIUM Engineering Journal
سال: 2018
ISSN: 2289-7860,1511-788X
DOI: 10.31436/iiumej.v19i2.943