CAJ | 학술논문

应用拉格朗日方程方法研究了理想对称十二弹性振子做二维运动的变化规律，得到其微小振动的控制方程。用数值解法求解振动方程，得到了振子运动的时程响应图样。结果表明：理想对称十二弹性振子的振动为非简谐的周期性振动，波形可看成是一个变形了的余弦波。
응용랍격랑일방정방법연구료이상대칭십이탄성진자주이유운동적변화규률，득도기미소진동적공제방정。용수치해법구해진동방정，득도료진자운동적시정향응도양。결과표명：이상대칭십이탄성진자적진동위비간해적주기성진동，파형가간성시일개변형료적여현파。
The Lagrange function method was employed to investigate the in-plane vibrations of twelve flexible symmetric simple harmonic oscillator in this work, we studied two dimension vibrations of twelve flexible symmetric simple harmonic oscillator. The nonlinear vibration equations of this model are obtained by using the Lagrange function method, then it solved them using numerical method because that it is hardly to get analytical solutions of the nonlinear equations. Results show that the small vibration of this ideal model is anharmonic, and the vibration waves could be seen as a deformed cosine wave shape.