Time-Dependent Lagrangians: Reference Work & Euler-Lagrange Equations

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I'm looking for a good reference work on time-dependent Lagrangians. For example, the Lagrangian and resultant Euler-Lagrange equations for a forced harmonic oscillator. All the classical textbooks just skip over this subject area. Obviously the system is non-energy conserving. In deriving the E-L equations one has to add a partial wrt T. I am looking to solve some electron trajectory problems when there is a weak oscillating external E-field.
-Thanks
 
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Your best bet will be a book on applied mechanics, either celestial mechanics, tokamak or particle accelerators.
 
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