Single degree of freedom (SDOF) system analytical solution

Solve any SDOF problem only providing stiffness, mass, damping coefficient.

Inputs are ([mass, stiffness, damping_coefficient], number_of_natural_periods_to_plot, Forcing_function, Initial_conditions), while ouputs include the differential equation and it's analytical solution in addition to a plot over the specified interval ([0,n*T_n]).

[uso,eqnd] = msdof(mkx,n,F,U)

mkx = [mass, stiffness, damping_coefficient],

n = number_of_natural_periods_to_plot, %

F = Forcing_function, % could be any function or constant

U = initial_condition = [initial_displacement, initial_velocity] = [u0, ud0].

Examples from the below mentioned book will clarify the rest.

Kelly, S. Graham. Mechanical vibrations: theory and applications. Cengage learning, 2012.