کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11030962 1646110 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cubic Quintic Septic Duffing oscillator: An analytical study
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک اتمی و مولکولی و اپتیک
پیش نمایش صفحه اول مقاله
Cubic Quintic Septic Duffing oscillator: An analytical study
چکیده انگلیسی
This paper deals with a particular arrangement of a statically balanced system using 3 springs of prescribed material stiffness and critical geometrical parameter. The dynamics is described by a nonlinear differential equation upto septic power following odd nonlinearity for small disturbance from static equilibrium position. The governing differential equation is solved analytically by the combination of the linearisation of the equation with the method of Harmonic Balancing to observe the low natural frequency at fixed point and a finite displacement range in the neighbourhood of the equilibrium point where the dynamic stiffness is low. By this approximation method, the behaviour of the displacement with increase in time as well as the phase-plot of Cubic Quintic Septic Duffing equation for a set of parameter values is studied at the equilibrium position and its neighbourhood.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chinese Journal of Physics - Volume 56, Issue 5, October 2018, Pages 2085-2094
نویسندگان
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