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Periodic Solution of Autonomous Nonlinear Equation of Motion with One-degree-of-freedom 保存力場自律系1自由度の非線形運動方程式の周期解 MINAKAWA, Yoichi 皆川, 洋一 open access We discuss the difference between the cosine Fourier series and the sine Fourier series which are applied to obtain the approximate solution of autonomons nonlinear equation of motion with one-degree-of-freedom in conservative field. And, it is shown that the approximate solution obtained by applying the cosine Fourier series converges to the exact periodic solution of the equation, but that obtained by applying the sine Fourier series does not converges to the exact solution generally. Then we examine the condition where the approximate solution obtained by the sine Fourier series converges to the exact solution. Applying the cosine Fourier series, we numerically analyse system where the equation of motion is derived by considering the finite deformation theroy in elasticity. 鹿児島大学 Kagoshima University 1980-09 eng departmental bulletin paper VoR http://hdl.handle.net/10232/12605 https://ir.kagoshima-u.ac.jp/records/4689 0451212X AN00040363 鹿児島大学工学部研究報告 The research reports of the Faculty of Engineering, Kagoshima University 22 117 123 https://ir.kagoshima-u.ac.jp/record/4689/files/AN00040363_v22_p117-123.pdf application/pdf 583.1 kB 2016-10-28 1980-09