This invention discloses a
frequency domain synthesis method for sinusoidal superimposed random composite vibration loads, belonging to the field of
engineering vibration
simulation technology. It solves the technical problem that
finite element analysis software cannot directly
handle sinusoidal + random time-domain-
frequency domain hybrid composite excitations. This method employs a
frequency domain substitution superposition strategy. First, it removes the
narrowband frequency band corresponding to the sinusoidal sweep
signal from the basic
random vibration power
spectral density (PSD). Then, it replaces the energy of this
frequency band with a
narrowband spectrum calculated according to the sinusoidal sweep parameters, ultimately synthesizing a continuous total PSD curve with correct energy composition. Simultaneously, through
broadband spectrum interpolation generation,
narrowband spectrum mathematical modeling,
signal substitution superposition, and post-
processing steps, it achieves the conversion of the composite vibration spectrum into standardized load data recognizable by the finite element
solver. This invention can accurately reproduce the load input of the vibration
test bench at the
simulation end, establishing a comparable and controllable bridge between experiment and
simulation, improving the confidence and
predictive value of simulation results, and supporting simulation-driven
product design and optimization.