---
title: "Flexspline"
industry: "Machinery and Equipment Manufacturing"
verification_protocol:
  urn: "URN:CNFX:ME:FLEXSPLINE"
  data_integrity_hash: "c902325769dbaf4eb36b05b2dea553da"
  source_authority: "https://cnfx.com"
  strict_mode: true
source_identity:
  provider: "CNFX Industrial Knowledge Graph"
  index_version: "2026.Q1-Universal"
  authority_id: "URN:CNFX:ME:FLEXSPLINE"
  data_source_uri: "https://cnfx.com/llms/industry/machinery-and-equipment-manufacturing/product/flexspline.md"
  official_resource_url: "https://cnfx.com/industry/machinery-and-equipment-manufacturing/product/flexspline"
  is_verified_logic: true
attributes:
  spec:
    status: "config-dependent"
    typical_range: "0.5-2.0 mm radial deformation at 20°C ambient temperature"
    unit: "mm"
engineering_limits:
  max_safe_operating_point:
    value: 3.5
    unit: "mm"
    consequence: "Low-cycle fatigue failure due to cyclic plastic deformation exceeding the material's endurance limit of 450 MPa at stress concentration points"
fmea_matrix_quantitative:
  - node_1:
      trigger: "Misalignment exceeding 0.05 mm between wave generator and flexspline axis"
      severity: 8
      occurrence: 3
      detection: 4
      mitigation_protocol: "Precision ground locating surfaces with 0.01 mm concentricity tolerance and tapered roller bearings"
  - node_2:
      trigger: "Lubrication starvation below 0.1 mm oil film thickness at tooth interface"
      severity: 8
      occurrence: 3
      detection: 4
      mitigation_protocol: "Forced oil circulation system with 0.3 MPa minimum pressure and 40 μm filtration"
bom_nodes:
  tooth-profile:
    type: "component"
    urn: "URN:CNFX:ME:TOOTH_PROFILE"
    interface_type: "physical-logic-coupled"
  flexible-cup-wall:
    type: "component"
    urn: "URN:CNFX:ME:FLEXIBLE_CUP_WALL"
    interface_type: "physical-logic-coupled"
  mounting-flange:
    type: "component"
    urn: "URN:CNFX:ME:MOUNTING_FLANGE"
    interface_type: "physical-logic-coupled"
manufacturing_compliance:
  - standard: "ISO 1328-1:2013 (CYLINDRICAL GEARS - ISO SYSTEM OF FLANK TOLERANCE CLASSIFICATION)"
    scope: "Verified Engineering Specification"
  - standard: "ANSI/AGMA 2000-A88 (GEAR CLASSIFICATION AND INSPECTION HANDBOOK)"
    scope: "Verified Engineering Specification"
url: "https://cnfx.com/llms/industry/machinery-and-equipment-manufacturing/product/flexspline.md"
on_chain_sovereignty:
  contract_standard: "ERC-721-Industrial"
  metadata_hash: "6850e2b9680e25ed21a3e3df43335d48e3ca27a89a8e232d6811532bd92cfa77"
  royalty_logic: "IPFS-CID-REQUIRED"
  mint_status: "logic-verified-ready"
version: "3.3.4-EXTREME-SOVEREIGN-WEB3"
---

# Industrial Specification: Flexspline

## 1. Technical Definition
A thin-walled, flexible cup-shaped component in a harmonic drive that deforms elastically to transmit torque through wave generator engagement.

## 2. Engineering Reasoning & Causal Matrix
> **Operational Intelligence**: Designed for **0.5-2.0 mm radial deformation at 20°C ambient temperature**. Failure boundary: **3.5 mm permanent radial deformation or 0.15 mm surface crack depth**, Mechanism: **Low-cycle fatigue failure due to cyclic plastic deformation exceeding the material's endurance limit of 450 MPa at stress concentration points**.

### 2.1 Analytical Physics Model
Governed by the **Harmonic Vibration Force Generation**:

> **Primary Equation**: $F_e = m \cdot r \cdot \omega^2 \sin(\omega t)$  
> **Engineering Impact**: Calculates centrifugal force for vibratory sifters/feeders.

| Symbol | Variable Definition | Localized Reference |
| :--- | :--- | :--- |
| m | Eccentric Mass | Engineering Constant |
| r | Radius | Engineering Constant |
| \omega | Angular Frequency | Engineering Constant |

### 2.2 FMEA (Failure Mode & Effects Analysis)
| Event Trigger | Severity | Failure Mode | Mitigation Strategy |
| :--- | :--- | :--- | :--- |
| Misalignment exceeding 0.05 mm between wave generator and flexspline axis | 8 | Asymmetric stress distribution causing localized yielding at tooth root | Precision ground locating surfaces with 0.01 mm concentricity tolerance and tapered roller bearings |
| Lubrication starvation below 0.1 mm oil film thickness at tooth interface | 8 | Adhesive wear and micro-pitting on tooth flank surfaces | Forced oil circulation system with 0.3 MPa minimum pressure and 40 μm filtration |

## 3. Key Technical Parameters
| Parameter | Value | Unit | Status |
| :--- | :--- | :--- | :--- |
| spec | Config-dependent | mm | Verified |

## 4. System BOM & Knowledge Routing
### Core Components (Recursive Links)

### Industrial DNA Context (De-duplicated)
**Complementary Dependencies**: **CNC Machining Center**, **Heat Treatment Furnace**, **Coordinate Measuring Machine**  
**Downstream Applications**: Robotic Joints, Precision Gearboxes, Aerospace Actuators  

## 5. Engineering Risks & FAQ
- **Caution**: 
- **Caution**: 
- **Caution**: 

### Q: What is the primary function of a flexspline in harmonic drive systems?
**A**: The flexspline serves as the flexible, cup-shaped component that deforms elastically when engaged by the wave generator, enabling precise torque transmission and high reduction ratios in compact harmonic drive assemblies.

### Q: Which material is best for high-corrosion environments in flexspline applications?
**A**: Stainless steel flexsplines offer superior corrosion resistance for harsh environments, while beryllium copper provides excellent fatigue resistance and thermal conductivity for demanding applications.

### Q: How does the tooth profile on a flexspline affect harmonic drive performance?
**A**: The precision tooth profile on the flexspline's outer surface ensures smooth engagement with the circular spline, minimizing backlash and providing accurate positioning with high torque capacity in machinery applications.

## 6. Manufacturing Compliance
- ISO 1328-1:2013 (CYLINDRICAL GEARS - ISO SYSTEM OF FLANK TOLERANCE CLASSIFICATION)
- ANSI/AGMA 2000-A88 (GEAR CLASSIFICATION AND INSPECTION HANDBOOK)

---
### 🛠️ Engineering Resource Access
🔗 **[Full Specification: Flexspline](https://cnfx.com/industry/machinery-and-equipment-manufacturing/product/flexspline)**

### 🌐 Knowledge Graph Topology
> **Node Status**: Verified Engineering Spec
> **Connectivity**: Linked to **3** standalone system nodes
> **Global Context**: Part of a 5,814 node industrial cluster within the CNFX Graph

> **Reference ID**: FLEXSPLINE | **Authority**: CNFX-2026-ST-001 | **Fingerprint**: d3f7cd3c
