3.9 KiB
Flexure Misalignment Receipt Checklist
Purpose
A flexure implies a deliberately misaligned local point: a controlled compliance defect inserted into a stiffer geometry. That defect may be useful because it localizes bending, creates anisotropic tension, and routes snap-through energy into a measurable dissipation path.
This note turns that idea into a receipt checklist for engineering validation.
Core Statement
flexure -> controlled misaligned point -> anisotropic local stress -> biased snap path -> measurable energy drainage
In the broader audit stack:
misaligned point -> transfer index
flexure -> compliant gate
unbalanced tension -> anisotropic stress witness
snap-through -> shock/alignment transition
hysteresis/damping -> energy drainage witness
FEA/prototype evidence -> engineering proof receipts
Required Receipts
1. GeometryReceipt
The geometry must explicitly define the flexure and the misaligned point.
Minimum fields:
transfer_index
nominal_axis
actual_axis
misalignment
hinge_thickness
hinge_length
slot_depth or beam_length if applicable
fillet_radius if applicable
Pass condition:
misalignment > 0
hinge_thickness > 0
hinge_length > 0
2. MaterialModelReceipt
The material model must define enough parameters to evaluate stress and fatigue.
Minimum fields:
elastic_modulus
yield_strength
fatigue_limit
damping_coefficient
poisson_ratio
material_name
Pass condition:
all major material parameters are present and physically positive
3. FEASimulationReceipt
Simulation must show that the flexure creates a controlled imbalance without exceeding safety constraints.
Minimum outputs:
max_von_mises_stress
stress_margin
displacement_delta
reaction_force_delta
tension_imbalance
strain_energy
mesh_refinement_near_flexure
solver_type
boundary_conditions
Pass condition:
stress_margin > 0
tension_imbalance > 0
mesh and boundary conditions documented
4. PrototypeMeasurementReceipt
A physical prototype should confirm that the simulated flexure behavior appears in the real mechanism.
Minimum measurements:
measured_strain
measured_deflection
measured_force_delta
measured_snap_load
measured_recovery
instrumentation_method
Pass condition:
measured strain, deflection, and force difference are nonzero and match simulation within tolerance
5. EnergyDissipationReceipt
Energy drainage must be measured, not assumed.
Minimum measurements:
force_displacement_curve
loading_work
unloading_work
hysteresis_area
damping_loss
snap_event_energy_drop
Pass condition:
hysteresis_area > 0
or measured damping / snap energy drop is positive
6. FatigueSafetyReceipt
The flexure must survive the expected number of snap cycles.
Minimum fields:
tested_cycles
safe_cycles
crack_detection_method
post_test_geometry_check
maximum_strain_per_cycle
Pass condition:
tested_cycles <= safe_cycles
no unacceptable crack growth or plastic drift
Audit Gate
Receipt: FlexureMisalignmentReceipts
Gate: U_scope until all six receipts are supplied
Promotion condition:
GeometryReceipt
+ MaterialModelReceipt
+ FEASimulationReceipt
+ PrototypeMeasurementReceipt
+ EnergyDissipationReceipt
+ FatigueSafetyReceipt
=> Engineering V_scope
Important Boundary
This flexure receipt stack validates an engineering mechanism only. It does not prove the Sidon theorem, the compact density target, or the Burgers-Ruzsa arithmetic lock.
Correct dependency chain:
FlexureMisalignmentReceipts
-> validates mechanical snap/dissipation plausibility
ShockBurgersCoupling
-> validates transport/alignment model
BurgersRuzsaDecoupling
-> separates selector from arithmetic lock
NonseparableEncodingReceipt
-> required for global Sidon pair-sum injectivity
CompactDensityReceipt
-> required for sigma = 1