On The Use Of Jacobi Elliptic Functions For Modelling The Response Of Antisymmetric Oscillators With A Constant Restoring Force

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. (C) 2020 Elsevier B.V. All rights reserved.