Techno Linear Motion Products - Selecting a Ball Screw Driven Slide H834-44

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Techno Linear Motion Catalog 44 Technical Information Drive Dimensioning and Calculation of Drive Torque The nominal drive torque consists mainly of ‘load torque’, ‘acceleration torque’ and ‘no-load torque’. Definitions M_A [N • m] required drive torque M_Last [N • m]resulting load torque M_NLT [N • m] no load torque* M_rot [N • m] rotary acceleration torque M_trans[N • m] acceleration torque F_X [N] feed force F_a [N] acceleration force g [m/s²] gravity = 9.81 V_max [m/s] max feedrate F_E [N] external force p [mm] screw lead m[kg] total mass to be moved a [m/s²] acceleration P [kW] driving power n_max[1/min] max. speed m friction factor = 0.05 M_E [N • m] external load torque J_syn[Kgm²/m] = 0.0000325 m = mass of load + mass of carriage(s) F_r(a) a F₂ M_x F₁ M_z M_y F₂ F₁ F_r(a) F_r(a) = = F₁ F₂ cos a sin a M_trans = F_a x p 2 p x 1000 M_Last = F_x x p 2 p x 1000 *relevant data are given on the following data sheets for the Ball Screw Slides Acceleration Torque M_trans Rotary Acceleration Torque M_rot M_rot = J_synx L x n_max x 9 x 2 V_maxx 60 x 1000 Feed Force F_x F_x = m x g x m Acceleration Force F_a F_a = m x a with vertical loads, the acceleration to gravity g must be added to the mass acceleration (g=9.81 m/s²) Driving Power P P = M_A x n_max x 2 60 x 1000 Resulting Torque M_Last Drive Torque Formula: M_A = M_Last + M_trans + M_rot + M_NLT+ M_E External Torque M_E M_E = F_E x d₀ 2 x 1000 p p