📏 计量学工具📏 Metrology Tools

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📏 计量学工具📏 Metrology Tools

共 29个免费在线工具

偏移修正能力指数 Cgk 计算器Measurement Cgk输入上下规格限、测量均值 x̄ 与标准差 s，按 Cgk = min(USL−x̄, x̄−LSL) / (3·s) 计算考虑偏倚的能力指数。用于衡量测量系统既准（无偏）又精（波动小）的程度。Compute Cgk = min(USL−x̄, x̄−LSL)/(3·s), a bias-aware capability index measuring whether a system is both accurate and… A 类标准不确定度计算器Std Dev Type a由样本标准差与测量次数求 A 类标准不确定度Compute u_A = s/√n from sample standard deviation and the number of independent measurements (statistical evaluation) 不确定度传播(乘积)计算器Uncertainty Propagation Product由乘积型变量的相对不确定度求合成相对不确定度Combine the relative uncertainties of two variables as u_y/|y| = √(Σ(u_i/x_i)²) for a product or quotient model 不确定度传播(线性)计算器Uncertainty Propagation Sum由灵敏系数与分量标准不确定度求合成不确定度Combine sensitivity coefficients and component uncertainties as u_c = √(Σ(c_i·u_i)²) for a linear measurement model 保护带(95%)计算器Compute the one-sided guard band GB = 1…由扩展不确定度求单侧 95% 保护带Compute the one-sided guard band GB = 1.65·U from the expanded uncertainty to reserve safety margin inside specificatio… 有效自由度(Welch)计算器Effective Dof Welch由各分量不确定度与自由度求有效自由度Compute effective degrees of freedom ν_eff = (Σu_i²)² / Σ(u_i⁴/ν_i) from uncertainty components and their degrees of fr… 测量能力指数 Cg 计算器Measurement Cg由公差带与测量标准差求测量能力指数Compute Cg = (USL − LSL)/(6·s) from specification limits and measurement process standard deviation; Cg ≥ 1.33 is gener… 精度公差比(PTR)计算器Precision Tolerance Ratio由测量标准差与公差带求精度公差比Compute PTR = 6·s/Tol from measurement standard deviation and part tolerance; PTR < 0.1 indicates the equipment is prec… 可区分类别数(NDC)计算器Ndc Number由零件变差与测量误差求可区分类别数Compute NDC = 1.41 × PV/GRR from part-to-part variation and measurement system error; NDC ≥ 5 is considered effective 漂移率计算器Drift Rate由前后两次测得值与时间差求漂移率Compute drift rate as (x₂ − x₁)/Δt from two readings and the elapsed time to assess instrument stability during periodi… 相对不确定度计算器Relative Uncertainty由标准不确定度与测得值求相对不确定度Compute relative uncertainty u_rel = u/|x| as a dimensionless ratio for expressing measurement precision as a percentage 相对偏倚计算器Bias Percent由测得值与参考值求相对偏倚Compute relative bias (%) as (x − x_ref)/x_ref × 100% to evaluate the relative level of measurement deviation 绝对偏倚计算器Bias Absolute由测得值与参考值求绝对偏倚Compute absolute bias as x − x_ref from a measured value and the reference standard value to evaluate measurement syste… 校准（校验/维修/检测）服务校准（校验/维修/检测）服务工具，输入设备类型、精度等级、使用年限和上次校准间隔，自动计算建议校准周期并判断是否需要校准。同时输出设备对应的校准项目清单。适用于压力表、温度仪、万用表、扭矩扳手、千分… 分度值误差Least Count Error分度值误差计算器按读数规则估算 ±半分度值引入的读数误差，适合游标、千分尺等器具的误差评估与不确定度分析。Estimate the reading error introduced by ±half of the least count for instruments such as vernier calipers and micromet… 最坏情况累积Tolerance Stackup Worst输入线性尺寸链中各组成环的公差（可正可负），取各环公差绝对值之和得到最坏情况累积公差。用于保守地评估装配间隙或干涉，确保极端偏差下仍能装配。Sum the absolute tolerances of all components in a linear dimension chain to conservatively assess assembly clearance o… %GRR = GRR / 公差 × 100%Grr Percent输入测量系统误差 GRR（重复性与再现性合成）和零件公差带宽度，计算 %GRR = GRR / 公差 × 100%。用于判断测量系统是否可接受：通常 <10% 优秀，>30% 需改进。Compute %GRR = GRR/Tolerance × 100% from measurement system error and tolerance band width; generally <10% is excellent… B 类不确定度Type B Uncertainty输入由校准证书、手册或经验给出的半宽 a 与包含因子 k，按 u_B = a / k 计算 B 类标准不确定度（非统计评定）。用于无重复数据时依据先验信息评定不确定度分量。Compute u_B = a/k from a half-width a given by a calibration certificate, handbook or experience and a coverage factor… 重复性 σ_rGauge Repeatability输入同一操作者多次重复测量同一零件所得读数，按极差法用平均极差 R̄ 除以 d₂ 系数求得重复性标准偏差 σ_r。用于测量系统分析（MSA）中量化量具自身的随机波动。Compute repeatability standard deviation σ_r = R̄/d₂ from the average range of repeated readings using the range method… 再现性 σ_oGauge Reproducibility输入多名操作者各自测量同一零件的平均值，取其均值极差除以系数 d₂* 得到再现性 σ_o。用于评估不同操作者之间的人为读数差异，是测量系统分析的关键指标。Compute reproducibility σ_o from the range of operator averages divided by the d₂* coefficient to quantify operator-to-… 平面度误差Flatness Deviation输入平面上若干测点的高度测量值，取最高点与最低点之差作为平面度误差的近似（最小区域法）。适用于机加工零件、大理石平台、量具的平面度质检与来料验收。Approximate flatness error from the highest and lowest measurement points on a surface (minimum zone method) for machin… A 类不确定度Type a UncertaintyA 类标准不确定度计算器，基于对同一量的多次重复观测，用贝塞尔公式求实验标准差与平均值标准不确定度，用于测量不确定度评定，纯前端。Evaluate experimental standard deviation and the standard uncertainty of the mean from repeated observations using Bess… 圆度误差Roundness Deviation输入圆周上若干测点的半径值，取最大半径与最小半径之差作为圆度误差的近似（最小区域法）。用于轴类、轴承、精密回转件的圆度形位公差检测。Approximate roundness error from the maximum and minimum radii measured around a circumference (minimum zone method) fo… 校准不确定度Calibration Uncertainty校准不确定度合成计算器，输入标准器引出的不确定度与重复性观测不确定度，按方和根合成得到扩展不确定度，用于计量校准报告，纯前端。Combine the uncertainty contributed by the reference standard with the repeatability uncertainty by root-sum-square to… 量具重复再现分析Grr Study量具重复再现分析（GRR）工具评估测量系统中量具重复性与操作再现性占比，判断测量系统是否可接受，适合质量工程与六西格玛。Evaluate the combined repeatability and reproducibility share in a measurement system and judge whether the system is a… 分辨率不确定度Resolution Uncertainty分辨率不确定度计算器求数字显示末位分辨力引入的不确定度，适合电子仪表与数显设备的测量不确定度评定。Compute the uncertainty introduced by the last displayed digit of a digital instrument, assuming a rectangular distribu… 合成不确定度Combined Uncertainty合成不确定度计算器将各独立不确定度分量按平方和开方合成，适合测量系统总不确定度评定与检测报告溯源。Combine independent uncertainty components by root-sum-square to evaluate the total uncertainty of a measurement system 扩展不确定度Expanded Uncertainty输入合成标准不确定度与包含因子k，按 U = k×u_c 计算扩展不确定度，用于给出测量结果的可信区间。Compute expanded uncertainty U = k × u_c from combined standard uncertainty and coverage factor, giving the confidence… 尺寸公差带Dimensional Tolerance尺寸公差带计算器由上偏差与下偏差求公差大小，辅助零件尺寸公差设计，适合机械制图与公差配合校核。Derive tolerance size and upper/lower limit dimensions from nominal size and upper/lower deviations for tolerance desig…
📖关于「计量学工具」About Metrology Tools▼

📝栏目简介

计量学工具集合收录了 29 个免费在线工具，覆盖计量学场景下的常见计算、换算与查询需求。无论你是相关领域的从业者、学生还是普通用户，都能在这里找到即用即走的实用小工具。所有工具纯前端运行，数据不上传服务器，保护隐私安全。This collection gathers 29 free online Metrology tools for everyday calculations, conversions and lookups. Whether you are a professional, a student or a casual user, you will find handy tools you can use right away. Everything runs client-side — no data is uploaded.

✨核心功能与适用场景

本页收录的计量学工具包括（部分代表工具）：Featured Metrology tools on this page include:

  • 偏移修正能力指数 Cgk 计算器Measurement Cgk
  • 不确定度传播(乘积)计算器Uncertainty Propagation Product
  • 不确定度传播(线性)计算器Uncertainty Propagation Sum
  • 有效自由度(Welch)计算器Effective Dof Welch
  • 测量能力指数 Cg 计算器Precision Tolerance Ratio
  • 可区分类别数(NDC)计算器Drift Rate
  • 相对不确定度计算器Relative Uncertainty
  • 相对偏倚计算器Bias Percent
  • 校准（校验/维修/检测）服务Least Count Error
  • 分度值误差Grr Percent
  • %GRR = GRR / 公差 × 100%Type B Uncertainty
  • 重复性 σ_rGauge Repeatability
  • 再现性 σ_oFlatness Deviation
  • A 类不确定度Roundness Deviation
  • 校准不确定度Calibration Uncertainty
  • 量具重复再现分析Grr Study
  • 合成不确定度Combined Uncertainty
  • 扩展不确定度Dimensional Tolerance

这些工具帮助你快速完成计量学相关的常见任务，无需记忆复杂公式或手动换算，输入即可得结果。These tools help you complete Metrology tasks quickly — no formulas to memorise and no manual conversion, just enter your values and get the result.

❓常见问题

计量学分类下的工具需要下载或注册吗？Do Metrology tools require any download or sign-up?

不需要。本页 29 个计量学工具（如偏移修正能力指数 Cgk 计算器、不确定度传播(乘积)计算器、不确定度传播(线性)计算器、有效自由度(Welch)计算器、测量能力指数 Cg 计算器、可区分类别数(NDC)计算器）都是纯前端页面，打开网页即可使用，无需安装软件、无需注册账号；输入的数据只在你的浏览器内处理，不会上传服务器。No. The 29 Metrology tools on this page (including Measurement Cgk, Uncertainty Propagation Product, Uncertainty Propagation Sum, Effective Dof Welch, Precision Tolerance Ratio, Drift Rate) are pure front-end pages: just open them and start using. No software to install, no account needed, and anything you enter is processed inside your browser — never uploaded.

计量学工具的结果能直接用于医疗、法律或财务决策吗？Can the results be used directly for medical, legal or financial decisions?

不能直接作为决策依据。本页工具多为通用计算、换算与查询，结果仅供日常参考；涉及诊断、诉讼、投资、工程验收等专业场景，请以权威标准、原始仪器读数或持证专业人士的结论为准。所有运算都在本地完成，数据不上传。No — treat them as everyday references only. Most tools here are general-purpose calculators, converters and lookups; for diagnosis, litigation, investment or engineering acceptance, rely on authoritative standards, raw instrument readings or a licensed professional. Everything is computed locally and nothing is uploaded.