Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators
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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15 صفحه اولDuffing-Type Oscillators with Amplitude-Independent Period
Nonlinear oscillators with hardening and softening cubic Duffing nonlinearity are considered. Such classical conservative oscillators are known to have an amplitude-dependent period. In this work, we design oscillators with the Duffing-type restoring force but an amplitude-independent period. We present their Lagrangians, equations of motion, conservation laws, as well as solutions for motion.
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ژورنال
عنوان ژورنال: Shock and Vibration
سال: 2016
ISSN: 1070-9622,1875-9203
DOI: 10.1155/2016/9471423