Kinematics of a 2D Asymmetric Nonlinear Oscillator

• 作者: Haiduke Sarafian
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: 2D Nonlinear OSCILLATOR COMPUTER ALGEBRA System MATHEMATICA
• 年，卷（期）: lxgjqkyw_2014,（6）
• 页码范围: 197-201
• 页数: 5页
• 分类号: O1

摘要

Motion of a point-like massive particle under the influence of two nonidentical linear springs conducive to an irregular planar oscillation is analyzed. For a two dimensional oscillations the equation of motion is a coupled highly nonlinear differential equation. The set of equations cannot be solved analytically. Utilizing a Computer Algebra System (CAS) such as Mathematica [1] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300390031003500360035003100380030000000 we solve the equations numerically. Kinematics of the particle is presented. For a comprehensive visual understanding the oscillations are simulated. We also include an extended atlas of useful two-dimensional time-folded diagrams.