Three-dimensional periodic cushion vibration reduction ballast bed vibration isolation frequency band regulation and control design method

Abstract

The invention discloses a three-dimensional periodic cushion vibration reduction ballast bed vibration isolation frequency band regulation and control design method, which comprises the following steps: starting from a wave equation of an ideal elastomer, expanding a material coefficient and an amplitude modulation function of a Blot wave into Fourier series under the basic assumed condition that a three-dimensional periodic cushion vibration reduction ballast bed is infinitely and repeatedly arranged along three periodic directions; expanding the elastic wave equation in a reciprocal space by plane waves to obtain an eigenvalue equation; enabling the reciprocal lattice vector to sweep the irreducible Brillouin zone to solve the energy band structure of the three-dimensional periodic cushion vibration reduction ballast bed; and determining a vibration isolation frequency band according to the forbidden band distribution range, obtaining the change rule of the forbidden band and the vibration isolation frequency band along with geometry and material parameters through influence factor analysis, and realizing active regulation and control of the forbidden band and the vibration isolation frequency band. The method is simple in basic theory, clear in physical significance, wide in applicability and convenient to use, and a calculation result can completely meet engineering design requirements.

Description

technical field [0001] The patent of the present invention relates to the field of rail transit vibration reduction and noise reduction, in particular to a three-dimensional period cushion layer vibration reduction ballast bed vibration isolation frequency control design method. Background technique [0002] At present, the rail vibration reduction measures widely adopt the method of reducing the support stiffness or increasing the vibration mass to control the environmental vibration. Such methods may cause abnormal wear of the wheel and rail in the case of excessive vibration reduction or improper vibration reduction, resulting in rapid breakdown of equipment and parts. Abnormal damage will increase the maintenance and repair workload of the wheel-rail system, and even affect the stability and safety of driving. In addition, the current track vibration reduction design lacks scientific frequency planning and comprehensive vibration reduction and isolation concepts, resulti...

AI Technical Summary

Problems solved by technology

At present, there are no engineering implementation cases of periodic vibration-reducing ballast bed based on the theory of periodic structural bandgap, so that there is neither engineering experience for reference nor scientific and systematic theoretical calculations to support the periodic vibration-reducing ballast bed.

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