Page 22 - Modular design for machine tools
P. 22

xx   Nomenclature

                  p : Number of identical entities
                   e
                  u: Feed movement
                  v: Cutting movement or movement in general

                 Λ : Deviation vector
                   j
                  δ : Vector
                   j
                  λ : Linear deviation of point O j
                   ji
                  ψ : Rotation of structural body component about axis passing through
                    ji
                      point O j
               2. Nomenclature for Part 2
                  A: Cross-sectional area, bearing area
                  A : Apparent contact area
                    a
                  A : Real contact area
                    r
                  C: Constant to represent joint stiffness, coefficient of contact
                     compliance
                  C : Compliance
                    k
                  C : Load distribution factor
                    r
                  D: Damping ratio
                  E: Young’s modulus, modulus
                  E loss : Energy loss per cycle
                  F: Cutting force
                  F : Frictional force
                    r
                  F drv : Driving force
                  H: Height of column, representative length or height
                  I: Cross-sectional moment of inertia (second moment of area)
                  K (K , K , K , K , K , K , K , K dyn , K , K , K , K , K , K ): Stiffness
                                                                      t
                                                           sep
                                                       eq
                                                    e
                                                                   sn
                                                               sh
                              ST
                                        b
                                  s0
                         SB
                      R
                                           drv
                                     a
                  K : Stiffness of joint surroundings
                    0
                  K : Joint stiffness
                    j
                  L (L , L , L ): Representative dimension of guideway, protruded
                              z
                       G
                           x
                               length
                  M: Moment
                  N: Rotational speed
                  P (P dyn , P , P , P , P ), ∆P: Load
                                    t
                                 st
                              r
                           h
                  Q: Normal load, normal preload, tightening force
                  Q : Magnification factor
                    D
                  R (R CLA , R , R , R max , R rms ): Surface roughness
                            T
                               a
                  R , R , R : Reaction forces
                    A
                           C
                       B
                  S: Constant
                  T: Torque
                 ∆T: Temperature difference at contact surface
                 V : Period of vibration
                   T
                 W : Volumetric weight of water
                   V
                 X, Y, Z: Cartesian coordinate
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