Asymmetric Differential Gear Casing Fatigue Life

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Solution Overview

Problem

Conventional differential gear units face insufficient fatigue life in corner portions due to tensile stress from forward driving forces, leading to increased size and weight when trying to withstand higher driving forces, and compromised mountability.

Innovation Solution

A differential gear unit design that asymmetrically configures the casing's opening and applies heat or physical treatments to extend fatigue life in the frequently used forward direction while maintaining a smaller size and weight, by differentiating the curvature radii of corner portions based on stress types and using a pinion and pinion shaft mechanism.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If the differential gear unit is designed to withstand larger driving forces by increasing case strength, then the fatigue life is improved, but the weight and size of the differential gear unit increase

Engineering Contradiction:
Improvefatigue lifeVSAvoidweight of differential gear unit
Core Design Contradiction:
ReliabilityVSWeight of stationary object

Solution Approach 1:

The patent applies local quality by making the opening shape asymmetric rather than uniform throughout. Specifically, the corner portions of the opening have different curvature radii - the first corner portion has a larger curvature radius while the second corner portion has a smaller curvature radius. This localized variation in geometric properties optimizes the stress distribution at each corner based on its specific loading conditions, thereby improving fatigue life without requiring a uniform increase in the entire case structure's size and weight.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent directly applies asymmetry by designing the opening shape to be asymmetric with respect to the differential case. The opening is configured such that its corner portions are not mirror images but have deliberately different curvature radii. This asymmetric design allows the structure to better withstand the asymmetric loading patterns experienced during forward and reverse driving, improving fatigue life while avoiding the need for a symmetrically larger and heavier case structure.

Inventive Principle:
Principle #4Asymmetry

2Reliability

If the differential gear unit is designed to withstand larger driving forces by increasing case strength, then the fatigue life is improved, but the size of the differential gear unit increases

Engineering Contradiction:
Improvefatigue lifeVSAvoidsize of differential gear unit
Core Design Contradiction:
ReliabilityVSArea of stationary object

Solution Approach 1:

The patent applies local quality by making the opening shape asymmetric rather than uniform throughout. Specifically, the corner portions of the opening have different curvature radii - the first corner portion has a larger curvature radius while the second corner portion has a smaller curvature radius. This localized variation in geometric properties optimizes the stress distribution at each corner based on its specific loading conditions, thereby improving fatigue life without requiring a uniform increase in the entire case structure's size and weight.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent directly applies asymmetry by designing the opening shape to be asymmetric with respect to the differential case. The opening is configured such that its corner portions are not mirror images but have deliberately different curvature radii. This asymmetric design allows the structure to better withstand the asymmetric loading patterns experienced during forward and reverse driving, improving fatigue life while avoiding the need for a symmetrically larger and heavier case structure.

Inventive Principle:
Principle #4Asymmetry

3Reliability

If the opening shape is made asymmetric to improve fatigue life, then the fatigue life is improved, but the manufacturing complexity increases

Engineering Contradiction:
Improvefatigue lifeVSAvoidease of manufacturing opening
Core Design Contradiction:
ReliabilityVSEase of manufacture

Solution Approach 1:

The patent directly applies asymmetry by designing the opening shape to be asymmetric with respect to the differential case. The opening is configured such that its corner portions are not mirror images but have deliberately different curvature radii. This asymmetric design allows the structure to better withstand the asymmetric loading patterns experienced during forward and reverse driving, improving fatigue life while avoiding the need for a symmetrically larger and heavier case structure.

Inventive Principle:
Principle #4Asymmetry

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The design enhances the differential gear unit's strength and fatigue life, allowing it to handle larger driving forces without significant size or weight increases, while maintaining assembly performance and reducing the need for extensive design changes.

Implementation Method 1

applies heat or physical treatments to extend fatigue life in the frequently used forward direction

Methodology Applied
Scientific EffectHeat treatment: Heat Treatment

Implementation Method 2

differentiating the curvature radii of corner portions based on stress types

Methodology Applied
Scientific EffectStress distribution:

Data Source

PatentUS7827882B2Differential gear unit
Publication Date: 2010.11.09 TOYOTA JIDOSHA KK
  • US7827882B2 patent drawing
  • US7827882B2 patent drawing
  • US7827882B2 patent drawing

AI summary

A differential gear unit divides an input driving force into first and second outputs, and permits a difference between the first and second outputs. The differential gear unit includes a differential case serving as a casing that defines an internal space and an opening communicated with the internal space and that is rotatable in a given direction and an opposite direction. The differential case includes a flange portion as an input portion to which the driving force is input. The differential case is configured such that the fatigue life of the differential case when the driving force is repeatedly input in the flange portion in the direction R1 is longer than the fatigue life of the differential case when the driving force is repeatedly input in the flange portion in the opposite direction; R1 is the rotational direction in which the vehicle runs forward.