Abstract
This paper mainly studies the vibration isolation of negative Poisson’s ratio structure in the honeycomb base of ships. Based on the structure of the negative Poisson’s ratio structure, different laying methods and different cell structure are used to construct the honeycomb base with the re-entrant hexagonal cell, the mathematical expression of Poisson’s ratio of a single re-entrant hexagonal cell structure is obtained through theoretical analysis. The negative Poisson ratio and relative density could be got by changing the angle and side thickness of the cell structure. Based on the different energy band of the re-entrant hexagonal cell structure, the different negative Poisson’s ratio re-entrant hexagonal honeycomb base was got, the energy band and the frequency response curve of the ship base are analyzed by COMSOL software. The energy band diagram and the frequency response of the structure are obtained to analyze the vibration isolation performance of the honeycomb base. By comparing the experimental results, the following conclusions can be gotten: (1) Compared with the traditional base, the negative Poisson’s ratio base has better vibration isolation effect on external excitation; (2) Different laying method and Poisson ratios can get different isolation effect. The combined base structure can provide better isolation effect to the external excitation in a larger frequency band; (3) By adding different mass blocks to the inner or peripheral angles of the basic re-entrant hexagonal cell, the vibration isolation performance of the structure can be changed to better.
Highlights
This paper mainly studies the vibration isolation of negative Poisson’s ratio structure in the honeycomb base of ships
Zhou et al [2] investigated sound transmission through double-walled cylindrical shell lined with poroelastic material in the core, The results show that if the frequency band over the ring frequency is of interest, an air gap, even if very thin, should exist between the two elastic shells for better sound insulation
A simple schematic diagram of the honeycomb base is shown in Figure 2a, and its standard re-entrant hexagonal honeycomb cell is shown in Figure 2b, where h is the vertical standard re‐entrant hexagonal honeycomb cell is shown in Figure 2b, where h is the side length of cell, l is the hypotenuse length of cell, and θ is the angle of cell (θ < 0)
Summary
With the development trend of industrialization, the vibration phenomenon of power equipment is inevitable, specially inside large mechanical mechanisms such as automobiles and ships. Duc et al [31] used analytical solutions to study the dynamic response and vibration of a double-curved flat shell with negative Poisson’s ratio, and the honeycomb growed on an elastic foundation under explosion and damping loads. Chen et al [37] investigated the vibration and damping properties of carbon fiber reinforced polymer (CFRP) 3D double-arrowhead (3D DAH) metamaterials, the negative Poisson’s ratio effect of CFRP 3D DAH meta-materials was studied analytically by energy method. The band gap diagram of negative Poisson’s ratio re-entrant structure was got, and the frequency response curve of the honeycomb structure was got, so the vibration isolation performance of the structure is analyzed. Deformation diagram of positive and ratiostructure structure under lateral hand
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