Translation/rotation error compensation amount creating device

摘要

A translation/rotation error compensation amount creating device creates, for a multi-axis machining apparatus having two rotation axes, a translation error compensation amount and a rotation error compensation amount both depending on the rotation axes. The translation/rotation error compensation amount creating device calculates the translation error compensation amount and the rotation error compensation amount based on an assembly error (set value) including at least an assembly error in a table surface or an assembly error in a spindle turning centerline in a multi-axis machining apparatus as well as the positions of the two rotation axes, and inputs the calculated error compensation amounts to a numerical controller controlling the multi-axis machining apparatus.

主权项

1. A translation/rotation error compensation amount creating device for creating, for a multi-axis machining apparatus having at least two rotation axes, a translation error compensation amount and a rotation error compensation amount both depending on the rotation axes, the translation/rotation error compensation amount creating device comprising:
an assembly error setting section configured to preset an assembly error including at least an assembly error in a table surface or an assembly error in a spindle turning centerline in the multi-axis machining apparatus; a translation/rotation error compensation amount calculating section configured to calculate
the translation error compensation amount by a first arithmetic expression based on the assembly error and positions of the two rotation axes, andthe rotation error compensation amount by a second arithmetic expression for solving an equation based on
a correct direction vector of the table surface or the spindle turning centerline based on the positions of the two rotation axes,the rotation error compensation amount,the assembly error, andan actual direction vector of the table surface or the spindle turning centerline based on the positions of the two rotation axes; and a translation/rotation error compensation amount input section configured to input the calculated translation error compensation amount and the rotation error compensation amount to a translation error compensation amount and rotation error compensation amount data table in a numerical controller controlling the multi-axis machining apparatus, wherein the multi-axis machining apparatus is a table rotating multi-axis machining apparatus having a rotary table, the translation/rotation error compensation amount creating device is configured to convert the assembly error in the table surface in the table rotating multi-axis machining apparatus into the translation error compensation amount and the rotation error compensation amount both depending on the rotation axes, the two rotation axes include an A axis and a C axis, the first arithmetic expression for calculating the translation error compensation amount (ΔXR, ΔYR, ΔZR) corresponding to a position (a) of the A axis and a position (c) of the C axis is as follows:[Δ⁢⁢X⁢⁢RΔ⁢⁢Y⁢⁢RΔ⁢⁢Z⁢⁢R]=⁢M⁢⁢a-T*⁢{M⁢⁢c-T*⁡(δ⁢⁢t-T-δ⁢⁢c-T)+δ⁢⁢c-T-δ⁢⁢a-T}+⁢δ⁢⁢a-T=⁢[(δ⁢⁢t⁢⁢x-T-δ⁢⁢c⁢⁢x-T)⁢cos⁡(c)+(δ⁢⁢t⁢⁢y-T-δ⁢⁢c⁢⁢y-T)⁢sin⁡(c)+δ⁢⁢c⁢⁢x-T{-(δ⁢⁢t⁢⁢y-T-δ⁢⁢c⁢⁢y-T)⁢sin⁡(c)+(δ⁢⁢t⁢⁢y-T-δ⁢⁢c⁢⁢y-T)⁢cos⁡(c)+δ⁢⁢c⁢⁢y-T-δ⁢⁢a⁢⁢y-T}⁢cos⁡(a)+(δ⁢⁢t⁢⁢z-T-δ⁢⁢a⁢⁢z-T)⁢sin⁡(a)+δ⁢⁢a⁢⁢y-T-{-(δ⁢⁢t⁢⁢y-T-δ⁢⁢c⁢⁢y-T)⁢sin⁡(c)+(δ⁢⁢t⁢⁢y-T-δ⁢⁢c⁢⁢y-T)⁢cos⁡(c)+δ⁢⁢c⁢⁢y-T-δ⁢⁢a⁢⁢y-T}⁢sin⁡(a)+(δ⁢⁢t⁢⁢z-T-δ⁢⁢a⁢⁢z-T)⁢cos⁡(a)+δ⁢⁢a⁢⁢z-T],and
the second arithmetic expression for calculating the rotation error compensation amount (ΔIR, ΔJR, ΔKR) is as follows:[β⁢⁢t-T⁢cos⁡(c)-α⁢⁢t-T⁢sin⁡(c)+β⁢⁢c-T⁡(1-cos⁡(c))+α⁢⁢c-T⁢sin⁡(c)-β⁢⁢a-T⁡(1-cos⁡(a))-γ⁢⁢a-T⁢sin⁡(a){-β⁢⁢t-T⁢sin⁡(c)-α⁢⁢t-T⁢cos⁡(c)-α⁢⁢c-T⁡(1-cos⁢(c))+β⁢⁢c-T⁢sin⁡(c)}⁢cos⁡(a)+sin⁡(a)-{-β⁢⁢t-T⁢sin⁡(c)-α⁢⁢t-T⁢cos⁡(c)-α⁢⁢c-T⁡(1-cos⁢(c))+β⁢⁢c-T⁢sin⁡(c)}⁢sin⁡(a)+cos⁡(a)]=⁢[⁢-Δ⁢⁢K⁢⁢R⁢⁢sin⁡(a)+Δ⁢⁢J⁢⁢R⁢⁢cos⁡(a)sin⁡(a)-Δ⁢⁢I⁢⁢R⁢⁢cos⁡(a)Δ⁢⁢I⁢⁢R⁢⁢sin⁡(a)+cos⁡(a)]where
an error in a displaced table centerline At−T with respect to an original table centerline Ct−T is as follows:
δtx−T, δty−T, δtz−T are an X component, a Y component, and a Z component, respectively, of a deviation distance between At−T and Ct−T observed when A=0 and C=0 and corresponding to Co−T that is an intersecting point between an original A axis rotation centerline Ca−T and an original C axis rotation centerline Cc−T,αt−T, βt−T, γt−T indicate that, when A=0 and C=0, At−T is tilted from Ct−T with a rotation error αt−T around an X axis, a rotation error βt−T around a Y axis, and a rotation error γt−T around a Z axis, respectively, andnT-T is a direction vector of At−T, an error in a displaced C axis rotation centerline Ac−T with respect to the original C axis rotation centerline Cc−T is as follows:
δcx−T, δcy−T, δcz−T are the X component, Y component, and Z component, respectively, of a deviation distance between Ac−T and Cc−T observed when A=0 and corresponding to Co−T that is the intersecting point between the original A axis rotation centerline and the original C axis rotation centerline,αc−T, βc−T, γc−T indicate that, when A=0, Ac−T is tilted from Cc−T with a rotation error αc−T around the X axis, a rotation error βc−T around the Y axis, and a rotation error γc−T around the Z axis, respectively, andnC-T is a direction vector of Ac−T, an error in a displaced A axis rotation centerline Aa−T with respect to the original A axis rotation centerline Ca−T is as follows:
δax−T, δay−T, δaz−T are the X component, Y component, and Z component, respectively, of a deviation distance between Aa−T and Ca−T corresponding to Co−T that is the intersecting point between the original A axis rotation centerline and the original C axis rotation centerline,αa−T, βa−T, γa−T indicate that Aa−T is tilted from Ca−T with a rotation error αa−T around the X axis, a rotation error βa−T around the Y axis, and a rotation error γa−T around the Z axis, respectively, andnA-T is a direction vector of Aa−T, Mc−T is a matrix that rotates, by −c, around the vector nC-T indicative of the direction of Ac−T observed when A=0, and Ma−T is a matrix that rotates, by −a, around the vector nA-T indicative of the direction of Aa−T.