A classic paper on diesel engine vibration response is
Marples,V., 1977, "On the Frequency Content of the Surface Vibration of a Diesel Engine", J. Sound and Vibration,Vol.52,No.3,pp.365-386. He tested an indirect injection, 4-cycle engine and took 1/3 Octave Band vibration spectra out to 16KHz but focuses on the frequency range from 0-5Kz which shows the highest level wideband peak in the 2500-3500Hz range. He says "the apparently broadband spectra in the region 500-5000Hz has been shown to be composed of many closely spaced, pure tone components". Narrowband (5Hz filtered bandwith) signatures of engine sidewall vibration show discrete engine-ordered peaks out to 2000Hz with humps at higher frequencies apparently due to structural resonances. For PSD modeling for shaker tests, a significant conclusion is "In broad terms the 0-5KHz spectrum of sidewall vibration is similar in shape for all speeds and loads. The maximum level increases by about 4dB/Octave with engine speed. There is relatively little additional increase with load, the change manifesting itself more by a shift of energy from high frequency(greater than 3.5KHz) to lower frequency".