Abstract
The analysis of adaptors’ deformation and stress is an important prerequisite for the design of the adapters. This paper proposed the mathematical description and analytical method for the sponge cylinder and rubber cylinder under pressure. The analytical formulas on deformation and stress of interference fit between adapters and launchers are deduced. Also, the correctness of the analytical formula is verified by numerical simulation. Furthermore, the effect of precompression and the sponge’s thickness ratio on adapter’s deformation and stress is studied. The following results can be concluded: the results of numerical simulation are basically consistent with that of analytical formula. After installing the adapter into the launcher, the rubber layer will move inward as a whole, then the sponge layer and the rubber layer are subjected to radial and tangential compressive stress. When the precompression is smaller than 0.0075 or larger than 0.0015, the deformation and stress of adapter are approximately in proportion to precompression. If the precompression keeps constant, the deformation and stress of adapter will have extremum when the thickness ratio of sponge equals to a certain value.
Highlights
In the cold launching system, there are elastic cushions for adapters between the missile and the metal cylinder
This paper proposed the mathematical description and analytical method for the sponge cylinder and rubber cylinder under pressure
The deformation and stress analytical formula of interference fit among the sponge cylinder, rubber cylinder, the adapter, and the launcher is deduced based on the assumption of axisymmetric plane
Summary
In the cold launching system, there are elastic cushions for adapters between the missile and the metal cylinder. As the adapter’s deformation and stress analytical research is based on the study on sponge cylinder and the rubber cylinder, many studies have been conducted in recent years. Yu Z et al [14, 15] give an analytical solution for the interference fit between superelastic incompressible rubber and linear elastic material under a certain plane strain condition. Based on the Blatz-Ko strain energy function of the sponge material and the three time reduced polynomial constitutive model of rubber material, the differential equation description and the plane axisymmetric analytical solution of the sponge cylinder and the rubber cylinder are proposed. The analytical formulas on deformation and stress of interference fit between adapters and launchers are deduced and the correctness of the analytical formula is verified by numerical simulation. The research methods and results in this paper can provide reference for the design of adapters
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