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Free Vibration  Script 
Free vibration of a singledegreeoffreedom system, RungeKutta, fourth order method 
RK4_fv.m 
Free vibration of a multidegreeoffreedom (MDOF) system, RungeKutta, fourth order method. 
mdof_rk4_free.m

Response to Base Excitation  Script 
Time history response of a singledegreeoffreedom system to an arbitrary acceleration base input via the RungeKutta fourth order method 
RungeKutta_4.m 
Time history response of a multidegreeoffreedom system to an arbitrary acceleration base input via the RK4 method.This is a modal transient variant. It is intended for the case where the damping is given in terms of a modal damping ratio.This script can also be used for enforced acceleration. 
mdof_modal_enforced_acceleration_rk4.m Supporting functions: partition_matrices.m ODE_acceleration_input.m Generalized_Eigen.mmdof_plot.mplot_legend.mReference: 
Time history response of a multidegreeoffreedom system to an arbitrary displacement base input via the RK4 method.This is a modal transient variant. It is intended for the case where the damping is given in terms of a modal damping ratio.This script can also be used for enforced displacement.  mdof_modal_enforced_displacement_rk4.m Supporting functions: partition_matrices.m ODE_displacement_input.m Generalized_Eigen.mmdof_plot.mplot_legend.mReference: 
Response to Applied Force  Script 
Forced vibration of a singledegreeoffreedom system, RungeKutta, fourth order method. 
RK4_force.m 
Response
of a multidegreeoffreedom
system to an arbitrary force or forces, RungeKutta, fourth order
method.

mdof_arbit_force_rk4.m

Response of a multidegreeoffreedom system to
an
arbitrary force or forces, RungeKutta, fourth order method.
This is a modal transient variant. It is intended for the case where the damping is given in terms of a modal damping ratio. 
mdof_modal_arbit_force_rk4.mSupporting
functions:

Response of a fixedfree beam subjected to an arbitrary force at its free end.  cant_beam_arbit_force_RK4.m Supporting functions: enter_time_history.m geometry_materials.m progressbar.m 
See also:MatlabMatlab_modal_transientMatlab_ode45Matlab_Newmark_Page 
