First Principles Designer

Design the force system.
See what else it will do.

Work from a clinical objective to the complete initial force system: intended response, reciprocal load, and the adjustment most likely to matter before activation.

Start with a clinical decision Choose another path

A 30-second mechanics check

A 180 g force acts 8 mm from the center of resistance.

F × d180 g × 8 mm = 1,440 g·mm

Choose before engaging

What should the posterior counter-couple do?

Select a simplified moment balance and inspect the remaining rotational tendency.

Balanced initial rotational tendency Residual moment: 0 g·mm. The applied moment and counter-couple are matched in this simplified check.

Simplified moment balance only. The full Bench also exposes reciprocal force, contact, friction, and model assumptions.

Question-First Mechanics

A clinical decision first. The mechanics underneath it second.

Seven clinical mechanics rounds connect posterior anchorage, closing-loop control, continuous-arch effects, controlled tipping, translation, root movement, and reversed-force design to the same deeper Bench.

01

Case and consequence

See the appliance and objective, then commit to the side effect that matters before anything is engaged.

02

Effect and adjustment

Reveal the intended response and reciprocal cost, then change one clinically meaningful variable.

03

Apply in the Bench

Carry the same case into the full instrument without losing its force-system context.

One workspace, three entry points

Enter where your question begins

The clinical rounds, interactive Bench, and research tools are different depths of the same biomechanics environment—not disconnected products.

Selected capabilities

These examples show the range without turning this page into a tool directory. Start with the clinical question that resembles yours; the complete collection remains one click away.

Browse all 19 tools
Movement & Reciprocal Force System interface preview
flagshipBenchmarked model

Movement & Reciprocal Force System

What complete initial force system produces the intended movement, and where do the reactions go?

Build the force and counter-couple, then inspect the intended response and reciprocal load in 3D.

Cantilever Anchorage Control interface preview
first principlesAnalytical model

Cantilever Anchorage Control

Will this cantilever retract the anterior segment without tipping the posterior unit mesially?

Choose activation and inspect the molar counter-moment, reciprocal force, and tube-friction effect.

Open simulator Explicit force-and-moment equilibrium with user-visible assumptions.
Space-Closure Loop Designer interface preview
parametricBenchmarked model

Space-Closure Loop Designer

Which loop design closes the space while controlling the vertical and rotational side effects?

Compare loop height, position, wire, and gable bends at both teeth before engagement.

Wire Engagement & Two-Bracket Effects interface preview
3D · parametricBenchmarked model

Wire Engagement & Two-Bracket Effects

What does this wire deliver to each bracket after slot play, span, size, and inclination are considered?

See whether the wire is active and which tooth receives each force and couple.

Continuous-Arch Side Effects interface preview
multi-bracketBenchmarked model

Continuous-Arch Side Effects

Which neighboring teeth inherit the reaction when this tooth is leveled through a continuous arch?

Level one displaced tooth and reveal the reciprocal extrusion and moments inherited by its neighbors.

Open simulator Named mandibular 41–45 case checks signs, equilibrium, crest transport, arch mirroring, and published qualitative reaction topology.
Uncertainty & Sensitivity Lab interface preview
researchBenchmarked model

Uncertainty & Sensitivity Lab

Which assumptions drive the modeled result, and how wide is the resulting uncertainty interval?

Propagate input ranges to output intervals and rank the modeled sources of variance.

Open simulator Sampling and sensitivity calculations are checked against deterministic and seeded reference cases.

Know what each result means

Every tool keeps its model class, assumptions, and evidence boundary visible near the result.

Initial tendency

Force-system outputs describe the initial mechanical response, not a patient-specific treatment forecast.

Free and local

Works with no account or paid plan required. Saved learning progress and workspace notes remain on this device.

Evidence in context

Analytical, benchmarked, literature-calibrated, reference-data, and exploratory models are labeled distinctly.

Start with the clinical decision

Choose the consequence, see the full initial force system, adjust one variable, and continue in the Biomechanics Bench.

Run a clinical mechanics round