Parametric Design

Parametric design is a CAD methodology where geometry is driven by parameters—dimensions, constraints, equations, and relationships—that define and control the model. When parameter values change, the model automatically regenerates to reflect the new values while maintaining design intent. This enables rapid design iterations, design tables for multiple configurations, and easy adaptation to new requirements. Parameters fall into several categories: (1) Dimensional parameters control sizes (lengths, angles, radii). (2) Geometric constraints control relationships (parallel, perpendicular, tangent, concentric, equal, symmetric). (3) User parameters are custom variables (material properties, design factors, counts) that can be used in equations. (4) Reference or driven dimensions display calculated values but cannot be directly modified. A parametric model is built on a feature tree or dependency graph. Each feature references previous features, creating parent-child relationships: the parent is created first, and the child depends on it. Modifying a parent feature automatically updates all dependent children during regeneration. Understanding this dependency structure is essential for robust modeling. Design intent is captured through careful use of constraints and equations. For example, instead of dimensioning each hole individually, you might dimension one hole and use an equal constraint for the others, or use a pattern with a count parameter. Equations allow relationships like: width = 2 × height, or hole_spacing = length / (count − 1). When the length changes, the spacing updates automatically. Parametric models can fail if constraints are overdefined (conflicting constraints) or underdefined (insufficient constraints). A well-constrained sketch is fully defined with no degrees of freedom remaining. Adaptive modeling allows underconstrained components in assemblies to automatically adjust size or position to satisfy assembly constraints when other components change.

Governing FormulaLinear pattern spacing: s = L / (n − 1) Circular pattern angle: θ = 360° / n Gear relationship (spur gears): N₁ / N₂ = D₁ / D₂ = ω₂ / ω₁ Where: N = number of teeth, D = pitch diameter, ω = angular velocity Example parametric equations: width = 2 × height hole_diameter = thickness / 2 pattern_count = floor(length / min_spacing) Design table: multiple configurations from a single parametric model by varying parameter values in a table

Knowledge Check

10 Questions

1.What is the key characteristic of parametric design?

2.What is a 'parameter' in parametric CAD?

3.What happens when you modify a driving dimension in a parametric model?

4.Which constraint type ensures that two lines remain at 90 degrees to each other?

5.What is 'design intent' in parametric modeling?

6.A rectangular plate has width = 2 × height. If height changes from 50 mm to 75 mm, what is the new width?

7.What is a 'driven dimension'?

8.For a linear pattern of 5 holes over a length of 200 mm (first and last holes at the ends), what is the spacing between holes?

9.What is a 'parent-child' relationship in parametric modeling?

10.Two spur gears have N₁ = 20 teeth and N₂ = 40 teeth. If gear 1 rotates at 100 rpm, what is the rotational speed of gear 2?