Matlab RK4 Shock & Vibration

Free Vibration

Script

Response to Base Excitation	Script
Time history response of a single-degree-of-freedom system to an arbitrary acceleration base input via the Runge-Kutta fourth order method	RungeKutta_4.m
Time history response of a multi-degree-of-freedom 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.m mdof_plot.m plot_legend.m line_colors.m Reference: modal_enforced_motion.pdf
Time history response of a multi-degree-of-freedom 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.m mdof_plot.m plot_legend.m line_colors.m Reference: modal_enforced_motion.pdf

Response to Applied Force	Script
Forced vibration of a single-degree-of-freedom system, Runge-Kutta, fourth order method.	RK4_force.m
Response of a multi-degree-of-freedom system to an arbitrary force or forces, Runge-Kutta, fourth order method. This is a direct integration variant. It is intended for the case where the damping is given in terms of a damping coefficient matrix.	mdof_arbit_force_rk4.m Supporting functions: Generalized_Eigen.m ODE_force_input.m mdof_plot.m plot_legend.m line_colors.m
Response of a multi-degree-of-freedom system to an arbitrary force or forces, Runge-Kutta, 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.m Supporting functions: Generalized_Eigen.m ODE_force_input.m mdof_plot.m plot_legend.m line_colors.m
Response of a fixed-free 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