EngineerCore — Mechanical Engineering Calculator
Server Details
Ground your AI with deterministic mechanical engineering tools. Prevent hallucinations in dynamics, thermal fluids, and solid mechanics via strict validation.
- Status
- Healthy
- Last Tested
- Transport
- Streamable HTTP
- URL
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Tool Definition Quality
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Available Tools
3 toolsanalyze_state_spaceAnalyze State Space SystemRead-onlyIdempotentInspect
Analyze an LTI system in state-space form. Evaluates stability, controllability, and observability. Automatically catches ragged matrices and dimension mismatches.
| Name | Required | Description | Default |
|---|---|---|---|
| A | Yes | System matrix A (n x n) | |
| B | Yes | Input matrix B (n x m) | |
| C | Yes | Output matrix C (p x n) | |
| D | Yes | Feedforward matrix D (p x m) |
Output Schema
| Name | Required | Description |
|---|---|---|
| observability | Yes | |
| controllability | Yes | |
| system_dimensions | Yes | |
| stability_analysis | Yes |
analyze_vibrationAnalyze VibrationRead-onlyIdempotentInspect
Analyse a mass-spring-damper system. Returns natural frequency (rad/s and Hz), damping ratio, damped natural frequency, system classification, logarithmic decrement, and engineering flags. All inputs must be in strict SI units.
| Name | Required | Description | Default |
|---|---|---|---|
| mass | Yes | Mass of the system in kilograms | |
| stiffness | Yes | Spring stiffness in Newtons per metre | |
| damping_coefficient | Yes | Damping coefficient in Newton-seconds per metre |
Output Schema
| Name | Required | Description |
|---|---|---|
| f_d | Yes | Damped natural frequency in Hz (underdamped only) |
| f_n | Yes | Natural frequency in Hertz |
| zeta | Yes | Damping ratio (dimensionless) |
| omega_d | Yes | Damped natural frequency in rad/s (underdamped only) |
| omega_n | Yes | Natural frequency in radians per second |
| c_critical | Yes | Critical damping coefficient in N·s/m |
| log_decrement | Yes | Logarithmic decrement (underdamped only) |
| classification | Yes | System damping classification |
| engineering_flags | Yes | Advisory messages about the system characteristics |
tune_pidTune PIDRead-onlyIdempotentInspect
Generate PID tuning parameters using Ziegler-Nichols and Cohen-Coon methods from a FOPDT process model. Returns Kp, Ki, Kd for the selected controller type and method, with reliability flags and method comparison. All inputs must be in strict SI units.
| Name | Required | Description | Default |
|---|---|---|---|
| method | No | Tuning method to apply | both |
| dead_time | Yes | Process dead time theta in seconds | |
| process_gain | Yes | Static process gain K from step test | |
| time_constant | Yes | First-order time constant tau in seconds | |
| controller_type | No | Type of controller to tune | PID |
Output Schema
| Name | Required | Description |
|---|---|---|
| warnings | Yes | Reliability advisory messages for the computed parameters |
| cohen_coon | Yes | Tuning parameters computed via the Cohen-Coon method |
| ziegler_nichols | Yes | Tuning parameters computed via the Ziegler-Nichols open-loop method |
| recommended_method | Yes | Which tuning method is preferred for this process model |
| controllability_class | Yes | Textual controllability assessment based on the dead-time ratio |
| controllability_ratio | Yes | Dead-time ratio r = θ/τ; values above 1.0 indicate a difficult process |
| method_agreement_ratio | Yes | Cohen-Coon / Ziegler-Nichols Kp ratio; values between 0.8–1.2 indicate good agreement |
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