Comment on “Nonlinear Response of Strong Nonlinear System Arisen in Polymer Cushion”
In , the following nonlinear oscillator was studied: Similar nonlinear oscillators arising in packing systems and textile engineering are available in [2–7].
In , (1) is approximated by Taylor’s series for the nonlinear terms: By using Taylor’s expansion function of MATLAB’s symbolic function, the nonlinear terms , , and are expanded to 8th order. After careful calculation, (2) should be corrected as where .
2. Variational Iteration Method
In , the following variational iteration algorithm was constructed: which should be corrected as In order to simplify the solution process, we denote Equation (5) becomes We begin with and use the following relationships: By (7), we have where Consider the following identity: From (10), we obtain where ( = 1~4) are defined above.
3. Discussion and Conclusion
The result of in  should be corrected as that given in (13). In , actually the following variational iteration algorithm is used: which is called the variational iteration algorithm in [8, 9]; for the present problem, the variational iteration algorithm in  is much more effective, which reads The variational iteration method is especially effective in solving nonlinear oscillators.
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