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Vibrations of Scroll compressors system are the sources of noise and stresses in the different parts of the assembly. For obvious reasons of security and comfort, the level of vibration and sound of that device must therefore be studied with the utmost care. This master thesis covers the development of a modeling technology that simulates the dynamics of compressor systems mounted on grommets and connected with rails. A vibration model of a multiple compressors system is implemented in a MATLAB code through different numerical approaches. The representation of the compressor system by finite elements associated with an enforcement of the kinematic constraints between the piping and the compressors using a rigid link appears to be the most cost-effective technique. The influence of the fluid dynamics on the vibratory behaviour of the system is studied through the dynamic stiffness method. It emerges that only the local eigenfrequencies of the system are influenced by the fluid. In the range of operating conditions, the only impact of the fluid was an addition of mass to the piping. The numerical results are compared to an experimental modal analysis. The numerical and experimental global modes of the structure are well correlated. However, huge discrepancies are observed for the local modes in terms of frequencies, these differences being related to approximations chosen to represent the boundary conditions at the binding compressor-pipe. Different ways to simulate the rail are explored using a commercial finite element software. An accurate and cost-effective approach is identified based on a shell element representation. A straightforward formulation of a triangular first-order shell element is implemented in MATLAB and is validated compared to the reference numerical model. The super element formulation through Craig-Bampton drastically reduces the number of dof while preserving the modal properties of rail. The rail element is then integrated to the compressor system. Finally, numerical outcomes are compared to an experimental modal analysis performed on a tandem configuration mounted on rails. Some differences related to the global mode shapes between the numerical and experimental results are observed, resulting from an approximate modeling of the bindings compressor-rail.
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Friction is the main mechanical loss taking place inside scroll compressors. It can lead to wear and reduces the reliability and service life of the compressors. The friction phenomenon needs to be understood and modelled so that the friction can ultimately be reduced and correctly taken into account during the design of the scroll compressors. This thesis researches and develops a friction model for the tip-base interface contact of the scroll, in order to obtain a friction coefficient depending on the operating conditions of the compressor. This model is implemented in Python. It corresponds to a mixed lubrication model able to model friction for all operating conditions and lubrication regimes. The model is discrete, and the tip-base interface is thus discretized using a regular mesh composed of quadrangle elements. The model is fed with different inputs. MBD simulations are used to generate the tip-base gap geometry. The boundary and axial load are derived from analytical computations, while the fluid and material parameters are sourced from the literature. It is composed of a fluid and a dry model that are combined to give the most general model possible. The fluid model is based on the Reynolds equation that is averaged in order to take into account the influence of the rough surface on the lubricant flow when the lubricant film is very small. The Reynolds equation is solved by an iterative process using finite difference method. The dry model is based on the stochastic model of Greenwood-Tripp that makes assumptions on the statistical distribution of the surface roughness. The two models are then assembled, and the tip-base gap is adjusted through the offset film thickness determined using a root-finding algorithm on the load balance condition. The fluid model is verified using known academic results, and the numerical solution is optimized through a convergence study. The complete implemented model is then used to understand the frictional behaviour of the tip-base contact, first, for operating conditions -5 to 60°C at 8000 RPM. The average friction coefficient has been found to be 0.023 with a fluid friction significantly lower than the dry one. The influence of the rotational speed is then explored by studying the results at 2900 and 6000 RPM. It is shown that the friction coefficient decreases when the speed increases, as the speed increase tends to separate the surfaces. The influence of operating conditions is finally studied by changing the inlet and outlet temperature to 8 to 45°C and keeping the speed at 2900 RPM. It is shown that the friction coefficient decreases when the temperature ratio decreases as the inlet boundary pressure is higher for these conditions. Overall, it is shown that the average friction coefficient for a complete revolution of the scroll varies between 0.02 and 0.03, suggesting that the 0.04 value used in Copeland computations is slightly overestimated. Stribeck curve for this contact is finally derived. This curve shows that at low speeds, the coefficient decreases when speed increases, as the surfaces are separated. At high speeds, the coefficient increases with the rotational speed, as the viscous shear stresses are increased.
Compressor --- Friction --- Tribology --- Lubrication --- Scroll Compressors --- Ingénierie, informatique & technologie > Ingénierie mécanique
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