Technical Exploration: Selection Basis and Influence of Diameter Parameter in Disc Spring Force Calculation

When applying the Alman-Razlo (AL) formula to calculate disc spring force values, selecting the appropriate diameter parameter is a critical consideration. While theoretical derivations are based on the middle diameter, national standards like GB/T 1972 specify the use of outer diameter (De) and inner diameter (di). Jiangsu Sunzo Spring will analyze the engineering rationale behind this selection and its concrete impact on calculation results, starting from the technical principles of disc springs.

1、The Balance between Theoretical Derivation and Engineering Practice

1. Theoretical origin: median diameter

In the initial mechanical derivation of the AL formula, the middle diameter of the disc spring cross-section was indeed used. This is theoretically rigorous as it corresponds to the neutral layer in the theoretical model.

2. Standard selection: De and di

However, in engineering practice and quality control, the outer diameter (De) and inner diameter (di) of disc springs are dimensions that can be measured directly, quickly, and accurately. In contrast, the middle diameter is a theoretical value that cannot be measured directly. To facilitate production inspection and standardization, both national and international standards use De and di as calculation inputs.

2、Analysis of the Calculation Deviation Caused by Different Diameter Selection

If the theoretical middle diameter is used in the formula, the result will be quantified deviation from the standard method (using De/di).

Positive Deviation Table for Disc Spring Force Values

The conclusion is that the force value calculated by using the diameter of the middle surface is systematically higher than that calculated by using the standard De/di.

3、The Practice of Three-Group Elasticity: Ensuring Consistency and Accuracy of Computation

At Jiangsu Sunzo Spring, our disc spring design and service strictly comply with industry standards.

Standard Compliance: We rigorously perform product performance calculations and validations in strict compliance with the De and di standards specified in national standards, ensuring consistency with customer communications, technical documentation, and data sheets.

Deep Understanding: We thoroughly understand the differences between theoretical models and engineering standards, along with their underlying causes. This enables us to consider various factors more comprehensively when handling non-standard designs or conducting in-depth technical analysis.

We are committed to delivering disc spring products with precise performance predictions and consistent quality, all within a rigorous standard framework. Whether for standard product selection or customized designs, we guarantee the accuracy and reliability of our technical specifications.