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ENGINEERING CALCULATORS

Travel distance, time & motion profile calculator

Engineering calculators (Beta)

Build a trapezoidal or triangular velocity profile from distance and duration.

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

Formula and applicability

v = s/(T−ta); a = v/ta; tc = T−2ta; F = ma+R; stop = v·delay+v²/(2a)

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.

Reference
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.

この計算で求められること

指定距離と所要時間から、台形・三角形の速度パターンを求めます。

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

  • 移動距離 s (mm / cm / m)
  • 片道の移動時間 T (s / min / µs)
  • 加速・減速それぞれの時間 ta (s / min / µs)
  • 移動質量 m (kg / g / mg)
  • 正方向への定常抵抗力 (N / kN / mN)
  • 停止指令から減速開始までの時間 (s / min / µs)

得られる結果

  • 最高速度 (m/s)
  • 加速度の大きさ (m/s²)
  • 定速時間 (s)
  • 加速中の駆動力 (N)
  • 減速中の駆動力(負は制動) (N)
  • 最高速からの停止距離(遅れ込み) (mm)

計算式の概要

v = s/(T−ta); a = v/ta; tc = T−2ta; F = ma+R; stop = v·delay+v²/(2a)

停止から開始して停止する正方向の移動で、加速と減速は同じ時間です。0<2ta≤T。剛体の理想運動で、実機の停止性能を保証する値ではありません。

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

Build a trapezoidal or triangular velocity profile from distance and duration.

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

  • Travel s (mm / cm / m)
  • One-way travel duration T (s / min / µs)
  • Each acceleration / deceleration duration ta (s / min / µs)
  • Moving mass m (kg / g / mg)
  • Steady resistance opposing travel (N / kN / mN)
  • Delay before deceleration starts (s / min / µs)

Calculated results

  • Peak speed (m/s)
  • Acceleration magnitude (m/s²)
  • Cruise duration (s)
  • Acceleration drive force (N)
  • Deceleration drive force (negative = braking) (N)
  • Stopping distance from peak speed incl. delay (mm)

Formula overview

v = s/(T−ta); a = v/ta; tc = T−2ta; F = ma+R; stop = v·delay+v²/(2a)

Forward travel from rest to rest, with equal acceleration and deceleration durations. Require 0 < 2ta ≤ T. Ideal rigid-body motion does not certify machine stopping performance.

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

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.

数値の感覚を、図と動きで確かめる

説明用の別モデルです。適用条件を確認してください。数値は自動転記しません。

See the idea in diagrams and motion

A separate explanatory model. Check its assumptions; values are not transferred.