Abstract: The dynamic mechanical properties of viscoelastic damping materials are usually represented by the master curve (MC) in the frequency domain. In order to construct a MC, multiple frequency spectrums must be tested, in which case it’s difficult to maintain the same test conditions. A mathematical form of the mirror relationship between the temperature spectrum and frequency spectrum is suggested according to the time-temperature superposition principle. Based on the five-parameter fractional derivative frequency spectrum model, a six-parameter fractional derivative temperature spectrum model of dynamic mechanical properties, temperature spectrum model for short, is established for viscoelastic damping materials. The proposed model can directly use the results of dynamic mechanical analysis (DMA), and is applicable whether the loss modulus and loss factor are symmetrical or asymmetrical. The six parameters in the model all have clear physical meanings, and some formulas are derived to obtain their initial values, which can be refined by the suggested parameter identification procedure. DMA tests using different materials under different experimental conditions show that, the proposed model can satisfactorily describe the dynamic mechanical properties of viscoelastic damping materials at various temperatures.

Key words: Dynamic mechanical analysis, Mechanical properties, Temperature, Viscoelasticity