CAJ | 학술논문

应用拉格朗日方程方法研究了理想对称六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,用数值解法求解了振动方程,得到了振子运动的时程响应图样.结果表明:理想对称六弹性振子的振动为非简谐的周期性振动,它的振动周期在x方向和y方向与振幅成反比,但受振幅影响不大.波形与振幅无关,可看成是一个变形了的余弦波.
응용랍격랑일방정방법연구료이상대칭륙탄성진자주이유운동적변화규률,득도기미소진동적공제방정,용수치해법구해료진동방정,득도료진자운동적시정향응도양.결과표명:이상대칭륙탄성진자적진동위비간해적주기성진동,타적진동주기재x방향화y방향여진폭성반비,단수진폭영향불대.파형여진폭무관,가간성시일개변형료적여현파.
Two dimension vibrations of six flexible symmetric simple harmonic oscillator were studied. The nonlinear vibration equations of this model are obtained by using the Lagrange function method, then solved them by using numerical method. Results show that the small vibration of this ideal model is unhar-monic, and the period of vibration in x direction and y direction are inversely proportion to the amplitudes respectively but influenced a little by them, and the deformation of the waves that could be seen as an asimilar cosine wave shape are independent to the amplitude.