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Cycle peak & RMS motor torque calculator

Engineering calculators (Beta)

Compare torque and mechanical regenerative energy across a complete cycle.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

How to use this calculation

  1. Compare torque and mechanical regenerative energy across a complete cycle.
  2. Select dimensions, units and conditions matching the diagram.
  3. Review the assumptions and results, then transfer them to a related calculation where available.

Formula and applicability

Ta=TL+Jω/ta; Td=TL−Jω/td; Trms=√[Σ(Ti²ti)/Σti]; Eregen=max(0,−Td)ωtd/2

All inputs refer to the same motor shaft; gearbox efficiency is not reapplied. Constant resistance opposes positive motion. Reversing gravity loads, electrical regenerative capacity and motor thermal ratings require separate evaluation.

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

Calculations do not submit input values to a server. Results are not an automatic code-compliance or safety determination.

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Learn with diagrams, then calculate

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この計算で求められること

加速・定速・減速・停止を含めて、トルクと機械側の回生量を比較します。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • モーター軸換算の合計慣性 J (kg·m² / kg·cm² / kg·mm²)
  • 正方向運動に逆らう抵抗トルク (N·m / N·mm / mN·m)
  • 最高モーター速度 (rpm / rad/s / °/s)
  • 加速時間 (s / min / µs)
  • 定速時間 (s / min / µs)
  • 減速時間 (s / min / µs)
  • 停止時間 (s / min / µs)
  • 停止中の保持トルク (N·m / N·mm / mN·m)

得られる結果

  • 加速トルク (N·m)
  • 定速トルク (N·m)
  • 減速トルク（負は回生方向） (N·m)
  • 最大絶対トルク (N·m)
  • サイクル全体の実効トルク (N·m)
  • サイクル時間 (s)
  • 減速時の機械側回生エネルギー (J)

計算式の概要

Ta=TL+Jω/ta; Td=TL−Jω/td; Trms=√[Σ(Ti²ti)/Σti]; Eregen=max(0,−Td)ωtd/2

全入力は同じモーター軸基準です。減速機の効率はこの画面では再適用しません。一定の抵抗トルクが正方向運動を妨げる水平等価モデルです。重力負荷の反転・電気側回生容量・機種の熱定格は別検討です。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Compare torque and mechanical regenerative energy across a complete cycle.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Total motor-shaft-equivalent inertia J (kg·m² / kg·cm² / kg·mm²)
  • Resistance opposing positive rotation (N·m / N·mm / mN·m)
  • Peak motor speed (rpm / rad/s / °/s)
  • Acceleration duration (s / min / µs)
  • Cruise duration (s / min / µs)
  • Deceleration duration (s / min / µs)
  • Dwell duration (s / min / µs)
  • Holding torque during dwell (N·m / N·mm / mN·m)

Calculated results

  • Acceleration torque (N·m)
  • Cruise torque (N·m)
  • Deceleration torque (negative = regenerative) (N·m)
  • Peak absolute torque (N·m)
  • Whole-cycle RMS torque (N·m)
  • Cycle duration (s)
  • Mechanical regenerative energy in deceleration (J)

Formula overview

Ta=TL+Jω/ta; Td=TL−Jω/td; Trms=√[Σ(Ti²ti)/Σti]; Eregen=max(0,−Td)ωtd/2

All inputs refer to the same motor shaft; gearbox efficiency is not reapplied. Constant resistance opposes positive motion. Reversing gravity loads, electrical regenerative capacity and motor thermal ratings require separate evaluation.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

Related tools

入力する単位を確認・換算する

Check and convert input units

モーター選定では、実効トルクと最大トルクのどちらを見る？

まず実効トルク（RMS）を確認します。各区間のトルクの二乗を時間で重み付けし、停止を含むサイクル全体の負担を表します。停止時間や停止中の保持トルクも結果に影響します。

次にピークトルクを確認します。必要トルクの大きさの最大値です。実効値が連続許容値より小さくても、ピークが瞬時許容値を超える条件では、その動作条件を満たしません。

入力欄の「メーカー仕様と比べる」で、同じモーター軸・回転数範囲・温度・冷却条件に対応した許容値を入力できます。瞬時許容トルクは継続時間・反復回数の確認も必要です。未入力の項目は未判定です。

回生エネルギーは機械側のJ値です。ドライバ内部の損失、回生吸収容量、抵抗器の許容電力・使用周期などは別に確認します。この値だけで回生抵抗器を選ぶことはできません。

Which motor result matters: RMS or peak torque?

Start with RMS torque.It is the square root of the time-weighted mean of squared interval torques across the complete cycle. Dwell time and holding torque both affect the result.

Then check peak torque.This is the maximum required torque magnitude. An RMS value below a continuous limit does not establish that the required peak lies within the permitted transient limit.

Use “Compare manufacturer specifications” in the input panel to enter verified limits for the same motor shaft, speed range, temperature and cooling. Also verify transient duration and repetition. Blank limits are not assessed.

Regenerative energy is a mechanical joule value.Drive losses, absorption capacity, resistor power rating and repetition require separate checks. This value alone does not select a braking resistor.

目的から順に確認する設計ガイド

図で条件を整理してから計算し、最後に実際の部品仕様を確認します。

Purpose-based design guides

Understand conditions with diagrams, calculate, then verify actual specifications.