Given the prevalence of modular design, we need to apply this principle to the internal (shaping) kinematic chains of metal-cutting machines, where a rigid functional relation between the blank and the tool is required [1]. Such kinematic links are currently based on mechanical chains and are different not only in machine tools with different functions but in machine tools with the same function that are of different size. This is most apparent for machine tools with complex branched adjustable chains of considerable length, such as gear- and thread-cutting machines, where a rigid kinematic link is required so as to ensure consistent motion of the tool and the blank; and also in heavy-duty high-precision machine tools, where enormous mechanical elements and devices with low efficiency must be used on account of the presence of heavily loaded and extended kinematic chains that are subject to considerable mechanical and thermal deformation and wear.
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