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    <ns1:title language="en">Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool</ns1:title>
    <ns1:language>en</ns1:language>
    <ns1:description language="en">ABSTRACT
The indirect identification of the geometric errors (GEs) in the rotary axis of a machine tool yields six equivalent GEs (EGEs) that are position-dependent; through an analytical proof, this study demonstrates that these errors also represent four position-independent GEs of the axis. Moreover, a novel algorithm using ball bar measurements to calculate the EGEs of a nutating rotary B-axis and a rotary C-axis is presented herein. This paper also presents a new analytical solution for the actual inverse kinematics of a nonorthogonal five-axis machine tool; this solution is used for GE compensation. The presented algorithms are implemented in a self-developed software that alters the nominal numerical control code in order to eliminate GEs. The compensation accuracy and efficiency are tested using a simulation system. The results demonstrate that the proposed compensation algorithm eliminates all identified GEs. Lastly, a cutting test executed on a machine confirms that the proposed algorithms considerably improve machining accuracy.
{link}https://www.sciencedirect.com/science/article/pii/S1755581722000505{/link}</ns1:description>
    <ns1:keyword language="en">Keywords: Equivalent geometric errors; Geometric error compensation; Geometric error identification; Nonorthogonal five-axis machine tool; Kinematic model</ns1:keyword>
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      <ns2:resource>1552099</ns2:resource>
      <ns2:identifier>10.1016/j.cirpj.2022.03.001</ns2:identifier>
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      <ns2:identifier>1755-5817</ns2:identifier>
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        <ns3:firstname>Vladimir</ns3:firstname>
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        <ns3:institution>Univerzitet u Beogradu, Institut Mihajlo Pupin</ns3:institution>
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        <ns3:firstname>Aleksandar</ns3:firstname>
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        <ns3:institution>Lola institut d.o.o.</ns3:institution>
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        <ns3:institution>Univerzitet u Beogradu, Mašinski fakultet</ns3:institution>
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        <ns3:institution>Lola institut d.o.o.</ns3:institution>
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    <ns12:name_magazine language="en">CIRP Journal of Manufacturing Science and Technology</ns12:name_magazine>
    <ns12:volume>37</ns12:volume>
    <ns12:from_page>477</ns12:from_page>
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