Abstract
The research on the mechanical model of rubber spring is one of the hot spots in train dynamics. In order to accurately calculate the viscoelastic force of the rubber spring, especially the non-hyperelastic forces (NHEF) part, a NHEF model is proposed based on the elliptic approximation method. Furthermore, the calculation formula of periodic energy consumption is put forward. The NHEF model is verified by experiments, and the function λ isconstructed to verify the formula of periodic energy consumption. The calculation results showed that the NHEF model had high accuracy in predicting the dynamic and quasi-static NHEF of rubber spring, the prediction accuracy of shear condition was better than that of compression condition, and the accuracy of quasi-static condition was better than that of dynamic condition; the calculation formula of periodic energy consumption had a good prediction accuracy in all working conditions.
Highlights
Rubber is a viscoelastic material, it has the function of buffering and absorbing vibration, so in order to reduce the vibration and noise of the train, a large number of rubber components are used in the railway vehicle equipment
In view of the above situation, this paper proposes a simplified and effective non-hyperelastic forces (NHEF) model based on the test data
The error caused by using the equivalent stiffness K to express the super elastic stiffness is small, so the NHEF FNHEF can be calculated by the following formula: Rubber spring is simple in structure, but it has the function of spring and damping at the same time, which can buffer and absorb vibration energy
Summary
Rubber is a viscoelastic material, it has the function of buffering and absorbing vibration, so in order to reduce the vibration and noise of the train, a large number of rubber components are used in the railway vehicle equipment. In order to facilitate the theoretical derivation of the model formula, the following idealized assumptions are made: a) it is assumed that when the rubber spring vibrates near a certain pre-pressure, the stiffness caused by the hyperelastic force will not change (considering the compression condition in sections), that is, it will not change with the vibration process under the same condition; b) it is assumed that the force-displacement hysteretic curve is symmetrical at the center of (0, 0) point. When the rubber spring vibrates at a certain frequency and amplitude near a certain pre-pressure, the stiffness caused by the hyperelastic force has little change, and the error caused by using the equivalent stiffness K to express the super elastic stiffness is small, so the NHEF FNHEF can be calculated by the following formula:. The transverse shear test is used as the research object to derive the model
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