Description
Return signed reciprocal stiffness and a converted compliance.
Signed and complex response quantities require an explicit convention as well as compatible units. A reciprocal, density change or loss magnitude can preserve algebra while the physical sign, frequency dependence and material interpretation remain separate questions.
Return signed reciprocal stiffness and a converted compliance.
When to use this tool
Use Stiffness Compliance Unit Sign when converting the stated signed, complex or response-property basis.
How to use the tool and how it works
- Enter stiffness, targetCompliancePerBaseCompliance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read baseCompliance, convertedCompliance, sign. Use the output convention below.
Return signed reciprocal stiffness and a converted compliance. Require nonzero stiffness and positive targetCompliancePerBaseCompliance; baseCompliance = 1/stiffness, convertedCompliance = factor/stiffness, sign follows stiffness.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| stiffness | Stiffness | Required. Finite number. |
| targetCompliancePerBaseCompliance | Target Compliance Per Base Compliance | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| baseCompliance | Base Compliance | Required. Finite number. |
| convertedCompliance | Converted Compliance | Required. Finite number. |
| sign | Sign of supplied stiffness; negative is retained without a stability conclusion. | Required. Safe integer. |
{
"input": {
"stiffness": 4,
"targetCompliancePerBaseCompliance": 1000
},
"output": {
"baseCompliance": 0.25,
"convertedCompliance": 250,
"sign": 1
}
}Limitations and assumptions
- Negative stiffness is retained; a reciprocal and unit factor do not establish mechanical stability or a tensor inversion.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the applicable SI/cgs, complex-phase and material-response conventions; use full tensor or frequency-dependent models where scalar relations are insufficient.
References
Similar or alternative tools
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