beamchaos              package:fractal              R Documentation

_C_h_a_o_t_i_c _b_e_a_m _d_a_t_a

_D_e_s_c_r_i_p_t_i_o_n:

     A flexible thin steel beam was mounted vertically to a
     electromechanical shaker which provided a transverse sinusoidal
     excitation.  The beam tip was placed near two rare earth magnets
     so as to provide nonlinear buckling forces. The beam was treated
     with a viscoelastic strip adhered to one side to provide a little
     damping. The addition of the damping treatment helps to form a
     more distinguishable fractal structure in phase space embeddings. 
     A laser vibrometer was used to record the beam tip velocity and
     the analog signal streamed to a National Instruments data
     acquisition board. The data was sampled at 1000 Hz. The gain of
     excitation was adjusted until (seemingly) chaotic motion was
     observed.

_R_e_f_e_r_e_n_c_e_s:

     William Constantine (1999), Ph.D. Dissertation: _Wavelet
     Techniques for Chaotic and Fractal Dynamics_, Mechanical
     Engineering Department, University of Washington.

_S_e_e _A_l_s_o:

     'ecgrr', 'eegduke', 'lorenz', 'pd5si'.

_E_x_a_m_p_l_e_s:

     plot(beamchaos)

