Summary.
This paper deals with the nonlinear oscillations of a conservative single-degree-of-freedom system with a general nonlinear restoring force. An iteration procedure is presented to solve the nonlinear oscillation equation. With the procedure, the analytical approximate period and the corresponding periodic solution, valid for small as well as large amplitudes of oscillation, can be established.
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AcknowledgementThe authors would like to thank the reviewer for his/her constructive comments on the manuscript. This work was partially supported by the National Natural Science Foundation of P. R. China (Grant No. 19972023), and the fund for Doctoral Site of MOE of P. R. China (Grant No. 20020183041).
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Li, P., Wu, B. An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems. Acta Mechanica 170, 69–75 (2004). https://doi.org/10.1007/s00707-004-0112-3
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DOI: https://doi.org/10.1007/s00707-004-0112-3