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Chapters 1-4
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CAD
Digital creation and modification of product geometry and engineering documentation
CAM
Use of computer systems for process planning, tool-path generation, and machine control
Design Intent
Information describing how geometry should update when requirements change.
Parametric Modeling
Modeling approach using parameters and relationships to control geometry.
Feature-Based Modeling
Creating models using engineering features rather than raw geometry.
Digital Product Model
Digital representation containing product geometry and design information.
Process Planning
Determining how a product will be manufactured
Tool-Path Generation
Creation of machine tool motion paths
Machine-Control Information
Instructions used by manufacturing equipment.
Engineering Documentation
Drawings and related design records
Associativity
Automatic updating of related model elements when changes occur.
BOM (Bill of Materials)
Structured list of parts and materials in a product.
GD&T
Geometric Dimensioning and Tolerancing system used on engineering drawings.
Postprocessor
Software that converts tool paths into machine-specific NC code.
Feeds and Speeds
Cutting parameters controlling machining performance.
CAE
Computer-Aided Engineering used for analysis such as stress and thermal studies.
CAPP
Computer-Aided Process Planning used to determine operation sequence and resources.
CAI
Computer-Aided Inspection used for measurement and quality verification.
CMM
Coordinate Measuring Machine used for inspection
Digital Thread
Continuous flow of product and process information throughout the lifecycle.
Digital Twin
Digital representation connected to data from a physical product or process.
Smart Manufacturing
Manufacturing using connected digital technologies and data.
Manufacturability
Ability of a design to be efficiently manufactured.
Lifecycle Consistency
Maintaining accurate and connected information throughout a product's life.
Revision Control
Management of engineering changes and model versions.
Data Exchange
Transfer of engineering information between systems
Solid Model
Complete, unique, and unambiguous representation of an object.
Geometric Modeling
Mathematical representation and visualization of geometry in a digital system
Face
Surface that bounds a solid model.
Edge
Boundary where two faces meet
Vertex
Point where edges meet.
Primitive Approach
Modeling method using basic geometric solids.
Features Approach
Modeling method using engineering features such as holes.
Sketching Approach
Modeling method based on sketches and operations such as extrusion
Boolean Operations
Mathematical operations combining or modifying solids
Loft
Creating geometry by blending between profiles.
Helix
Spiral-shaped curve.
Analytic Curves
Curves described using mathematical equations
Synthetic Curves
Curves generated using control points and geometric algorithms.
Point
Zero-dimensional geometric entity.
Fillet
Rounded transition between surfaces or edges.
Chamfer
Angled edge replacing a sharp corner.
Conic Curve
Curve created by intersecting a plane with a cone.
Implicit Equation
Equation written in the form F(x,y,z)=0
Explicit Equation
Equation directly expressing one variable in terms of others
Parameter (u)
Local coordinate identifying position on a curve.
Position Vector P(u)
Vector locating a point on a curve
Tangent Vector
Vector describing direction of a curve at a point
Bezier Curve
Synthetic curve defined by control points and Bernstein polynomials
Control Point
Point used to influence shape of a curve.
Multiplicity
Repetition of a control point to modify curve behavior
B-Spline Curve
Generalized form of Bezier curve with local control
Nonperiodic B-Spline
Open B-spline curve
Open B-Spline
B-spline that passes through beginning and ending control points.
Curve Degree
Polynomial degree of a curve. For B-splines, degree = k−1
B-Spline Function Nᵢ,ₖ(u)
Basis function used to define a B-spline curve
Hermite Cubic Spline
Cubic spline using position and tangent information at endpoints.
Cubic Spline
Piecewise cubic curve with continuity conditions
Curvature Continuity (C² Continuity)
Continuity of curvature between adjacent curve segments.
Interpolation
Curve passing through specified control points.
Convex Hull Property
Bezier curve remains inside the convex hull of its control points