This study presents how the motion, velocity and acceleration of conservative antisymmetric constant force oscillators can be expressed in terms of Jacobi elliptic functions. Two approaches have been developed. In the first approach, one starts from the known period of vibrations and the solution for motion expressed in terms of Jacobi elliptic functions. The second approach is also shown, starting from the expression for the acceleration in terms of the Jacobi elliptic functions, and then deriving the expression for the velocity and motion. As far as the author is aware, both computational approaches give original and new results for this kind of oscillators.

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关于使用Jacobi椭圆函数建模具有恒定恢复力的反对称振荡器的响应

这项研究提出了如何用雅可比椭圆函数来表示保守的反对称恒力振荡器的运动，速度和加速度。已经开发出两种方法。在第一种方法中，从已知的振动周期开始，并根据雅可比椭圆函数表示运动的解。还显示了第二种方法，该方法从用Jacobi椭圆函数表示的加速度表达式开始，然后推导速度和运动的表达式。据作者所知，对于这种振荡器，两种计算方法都能给出原始和新的结果。