Description
For positive stiffness and nonnegative existingCompliance return compliance=existingCompliance+1/stiffness and equivalentStiffness=1/compliance.
A mechanics calculation needs a coordinate frame, sign convention, and consistent force, length, mass, and time units. Vector projections, local balance terms, and ideal motion equations describe particular parts of a physical model. They do not automatically establish all equilibrium conditions or the validity of the model.
For positive stiffness and nonnegative existingCompliance return compliance=existingCompliance+1/stiffness and equivalentStiffness=1/compliance.
When to use this tool
Use Spring Series One Compliance Addend when you need this particular projection, balance, frame conversion, or ideal-model component from supplied physical quantities.
How to use the tool and how it works
- Enter stiffness, existingCompliance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read compliance, equivalentStiffness. Use the output convention below.
For positive stiffness and nonnegative existingCompliance return compliance=existingCompliance+1/stiffness and equivalentStiffness=1/compliance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| stiffness | Spring stiffness in force per length units. | Required. Finite number; strictly above 0. |
| existingCompliance | Existing Compliance | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| compliance | Compliance | Required. Finite number. |
| equivalentStiffness | Equivalent Stiffness | Required. Finite number. |
{
"input": {
"stiffness": 200,
"existingCompliance": 0.005
},
"output": {
"compliance": 0.01,
"equivalentStiffness": 100
}
}Limitations and assumptions
- Compliance uses reciprocal stiffness units. This adds one ideal series spring without checking preload, nonlinear response, stability, or safe working loads.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete force, motion, or energy model when a single contribution is insufficient. Check coordinate frames, idealizations, and dimensional consistency before combining calculated terms.
References
Similar or alternative tools
- Spring Series Energy Share
Share stored energy between two ideal series springs carrying the same force.
- Spring Energy Preload Cross Term
Energy change from a preloaded ideal linear spring, retaining the signed preload cross term.