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Modal Transient via Digital Recursive Filtering Relationships
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Base Excitation Script
Time history response of a single-degree-of-freedom system to an arbitrary acceleration base.
 arbit.m

Supporting function
srs_coefficients.m
enter_time_history.m
Time history response of a multi-degree-of-freedom system to enforced motion or base excitation.

Script for enforced acceleration: mdof_modal_enforced_acceleration_ri.m

Script for enforced displacement: mdof_modal_enforced_displacement_ri.m

Supporting functions:

ODE_acceleration_input.m

ODE_displacement_input.m

partition_matrices.m

References:
modal_enforced_motion.pdf

modal_enforced_motion_ramp_invariant.pdf

Applied Force Script
Time history response of a single-degree-of-freedom system to an applied force.
arbit_force.m
Supporting function
enter_time_history.m
Time history response of a multi-degree-of-freedom system to an applied force or forces.

 mdof_modal_arbit_force_ri.m

Supporting Functions:

ramp_invariant_filter_coefficients.m

enter_time_history.m

fix_size.m

Generalized_Eigen.m

mdof_plot.m

ODE_force_input.m

References:
force_ramp_invariant.pdf

Smallwood

Irvine General Coordinate

Irvine Impulse Response Function 1

Irvine Impulse Response Function 2

Irvine SRS
See also:  

Matlab    
Matlab_Newmark-beta

Matlab_ode45

Matlab_RK4
Vibrationdata Blog Entry for Modal Transient

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