{"id":747,"date":"2026-06-03T01:47:04","date_gmt":"2026-06-03T01:47:04","guid":{"rendered":"https:\/\/planetary-gearboxes.com\/?p=747"},"modified":"2026-06-03T01:47:04","modified_gmt":"2026-06-03T01:47:04","slug":"planetary-gearbox-torsional-stiffness-dynamic-accuracy-ct-backlash","status":"publish","type":"post","link":"https:\/\/planetary-gearboxes.com\/zh\/planetary-gearbox-torsional-stiffness-dynamic-accuracy-ct-backlash\/","title":{"rendered":"Planetary Gearbox Torsional Stiffness Explained \u2014 Why Ct Matters More Than Backlash at High Torque"},"content":{"rendered":"
<\/p>\n Every precision \u884c\u661f\u9f7f\u8f6e\u7bb1<\/a> datasheet lists backlash in arcminutes. Fewer than 20% list torsional stiffness. Yet under significant applied torque \u2014 the real operating condition of a CNC rotary table, a heavy robot joint, or a servo press \u2014 elastic angular deflection from torsional compliance exceeds the backlash specification entirely. This guide puts the number on it.<\/p>\n Get Stiffness Analysis for Your Application \u2192<\/a><\/p>\n<\/div>\n<\/div>\n<\/section>\n <\/p>\n Backlash is the accuracy specification that every gearbox selector knows. It is the angular dead band at direction reversal \u2014 measurable with no load applied, listed prominently on every datasheet, and typically the first (and sometimes only) precision criterion applied when comparing planetary gearboxes. Torsional stiffness, designated Ct and measured in N\u00b7m\/arcmin, is the parameter that determines how much the output shaft rotates elastically under an applied load. It appears in fewer than one in five published planetary gearbox selection guides \u2014 and it is entirely absent from most application-specific sizing tools.<\/p>\n This creates a systematic blind spot: engineers specify backlash carefully, select a low-backlash unit, and then discover that at their actual operating torque, the elastic deflection from torsional compliance produces an angular error two to four times larger than the backlash they specified. The two phenomena are completely independent in origin \u2014 and a gearbox with tight backlash can have poor torsional stiffness, and vice versa.<\/p>\n The angular dead band between input and output when drive direction reverses. Purely geometric \u2014 caused by clearance between gear teeth. Present at zero load<\/strong>. Fixed once manufactured (until wear increases it). Specified in arcmin.<\/p>\n The elastic “wind-up” of gear teeth, shafts, and planet carrier under applied torque. Proportional to load. Occurs at any torque level<\/strong>. Disappears when load is removed (elastic). Grows with every N\u00b7m of applied torque beyond zero.<\/p>\n In real servo applications, total positioning error includes both contributions simultaneously. At low torques, backlash dominates. At high torques \u2014 above a crossover point that depends on Ct \u2014 elastic deflection exceeds backlash and becomes the primary accuracy limit<\/strong>.<\/p>\n <\/p>\n The following specifications are the certified torsional stiffness values for all Korea Ever-Power EP series precision planetary gearboxes. Torsional stiffness Ct is defined as the output torque required to produce one arcminute of elastic angular deflection at the output shaft under load, with the input shaft fixed. Higher Ct means less elastic deflection under the same applied torque \u2014 and therefore better dynamic positioning accuracy.<\/p>\n
\nTechnical Deep-Dive \u00b7 Dynamics<\/span><\/div>\nPlanetary Gearbox Torsional Stiffness Explained \u2014 Why Ct Matters More Than Backlash at High Torque<\/h1>\n
The Parameter That Dominates Accuracy Under Load \u2014 and Rarely Appears in Selection Guides<\/h2>\n
\nOccurs when: direction reverses
\nDepends on: manufacturing tolerance<\/div>\n<\/div>\n
\nOccurs at: any applied torque
\nDepends on: gearbox stiffness Ct<\/div>\n<\/div>\n
\n= BL + T\/Ct (arcmin)
\nLinear: E = R \u00d7 tan(\u03b8_total\/60 \u00d7 \u03c0\/180)<\/div>\n<\/div>\n<\/div>\n<\/section>\nThe Complete EP Series Torsional Stiffness Table \u2014 All Frame Sizes and Series<\/h2>\n