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Nonlinear System Script
Free Vibration of an SDOF System with Dahl Damping sdof_free_Dahl.m

Newmark_coefficients.m

tmpfriction.pdf

Base Excitation Script
Time history response of a single-degree-of-freedom system to an arbitrary acceleration base input via the Newmark method.
arbit_newmark_acc.m

Newmark_coefficients.m
Time history response of a multi-degree-of-freedom system to an arbitrary acceleration base input via the Newmark 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_nm.m

Supporting functions:

Newmark_coefficients.m

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 Newmark 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_nm.m

Supporting functions:

Newmark_coefficients.m

partition_matrices.m

ODE_displacement_input.m
Generalized_Eigen.m
mdof_plot.m
plot_legend.m
line_colors.m
Reference:
modal_enforced_motion.pdf

Applied Force Script
Time history response of a single-degree-of-freedom system to an applied force via the Newmark method.
arbit_newmark_force.m

Newmark_coefficients.m
Time history response of a multi-degree-of-freedom system to an applied force or forces via the Newmark 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_newmark.m

Supporting functions:
Generalized_Eigen.m
ODE_force_input.m

Newmark_force.m

mdof_plot.m
plot_legend.m
line_colors.m
Time history response of a multi-degree-of-freedom system to an applied force or forces via the Newmark 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_newmark.m

Supporting functions:
Generalized_Eigen.m
ODE_force_input.m

Newmark_modal_force.m

mdof_plot.m
plot_legend.m
line_colors.m
See also:  

Matlab    
Matlab_modal_transient

Matlab_ode45


Matlab_RK4

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