MATEC Web Conf.
Volume 83, 2016CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||4|
|Section||Deterministic and stochastic dynamics and control of nonlinear systems|
|Published online||16 November 2016|
Non-planar motions of a string vibrating against a smooth unilateral obstacle
Indian Institute of Technology, Kanpur - 208016, India
a e-mail: email@example.com
Earlier theoretical studies on string vibrations against smooth unilateral obstacle assumed planar motions. The present paper analyzes the non planar motions of a string vibrating against a smooth unilateral curved obstacle. In particular, we study the effect of obstacle in determining different types of non planar motions of a string. The tension is assumed to be variable along the length due to the stretching of the string, which introduces nonlinear coupling between the perpendicular modes. The system of equations has been discretized by assuming functional form of the modes which satisfies all the geometrical boundary conditions. The mathematical model has been numerically investigated for different initial conditions and chosen value of obstacle parameters. The trajectory of a typical point on the string is oscillating ellipse and it transforms into rotating ellipses with time varying major and minor axis for larger amplitudes.
© The Authors, published by EDP Sciences, 2016
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