Solution of nonlinear wave equation of elastic rod
- 71 Downloads
The longitudinal oscillation of a nonlinear elastic rod with lateral inertia are studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.
Key wordsnonlinear elastic rod method of full approximation KdV equation combined KdV and mKdV equation
Chinese Library ClassificationO357.1
2000 Mathematics Subject Classification74B20 74J30
Unable to display preview. Download preview PDF.
- Zhuang Wei, Zhang Shanyuan. The strain solitary waves in a nonlinear elastic rod[J]. Acta Mechanica Sinica, 1988, 20(1):58–67 (in Chinese).Google Scholar
- Dai Shiqiang, Sigalov G F, Diogenov A V. Approximate analytical solutions for some strongly nonlinear problems[J]. Scientia Sinica Ser A, 1990, 32(2):153–162 (in Chinese).Google Scholar
© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008