Optimization of two support spindle shaft on nonlinear elastic supports by rigidity characteristics

One of the main structural elements metalworking machines is spindle assembly (spindle), which used to hold cutting tools or workpieces. The rigidity plays a decisive role in ensuring accuracy and efficiency machine as whole. assessment shaft stiffness carried out on basis analysis static bending shaft, made it possible formulate solve problems optimizing according characteristics for two supporting structures nonlinear elastic supports. To determine roller bearings, work uses dependence obtained solving problem contact interaction an steel cylinder with curvilinear half-spaces. For considered design scheme, optimization goals were chosen conditions smallest displacement end section console, achievement minimum angle rotation this their normalized superposition, ensures maximum processing zone. Consideration has also been given minimizing swing at front support maximize bearing life. Mathematically, presented form one 4 proposed objective functions by changing variable parameters - length cantilever value inter-support distance, represented dimensionless quantities coefficient distance coefficient. Minimum values ​​of span constraints parameters. Varying console coefficients was method sequential enumeration within specified constraints, solution graphical form. equation bent axis beam framework Euler Bernoulli hypotheses analytical together dependencies calculating radial function force acting it. algorithm implemented MatLAB package. Optimal solutions have shown that combined functions, consisting sum relative deflection ​​at angles support, achieved same minima support. approach shafts units metal-cutting machines, are optimal terms characteristics, forms tool reasonable choice bearings shafts.