Plot system reactions in time domain, not lsim

Hey guys,

I'm searching for a way to plot system reactions in the time domain by using transfer functions.

For example: G(s)=Y(s)/W(s)=1/(1+Ts) <- PT1 System

Y(s)=W(s)*G(s)

with W(s)=w/(s^2+w^2) <- transformed Sinus

Now i want to plot the answer in time domain. I could use the inverse laplace transform, but then i have to substitute the variables and so on. Or i could use lsim. But lsim wants to have a time domain input. What I am searching for is a way to specify a more complex input signal in frequency domain and plot it in time domain.

Any ideas?

Thank you very much.