Rigid-Body Kinematics & Rotation

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Abstractions about the motion and mechanical behavior of rigid bodies, including rotational description such as angular displacement, Euler angles and centrode, specific mechanical points and elements like the center of percussion, inerter and rigid rotor, and schematic representation of mechanisms such as the kinematic diagram.

8 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Angular displacement — The directed change in rotational position between two orientations about a specified axis or within a declared orientation representation.
• Center of percussion — The point on a pivoted rigid body where a perpendicular impulse produces no instantaneous reaction impulse at the pivot.
• Centrode — The locus traced by the instantaneous center of rotation of a rigid body undergoing planar motion.
• Euler angles — Three ordered rotation angles that parameterize a three-dimensional orientation relative to a reference frame under a declared axis sequence and active or passive convention.
• Inerter (mechanical networks) — A two-terminal mechanical element whose equal and opposite terminal force is proportional to relative acceleration, serving as the mechanical analogue of an electrical capacitor.
• Kinematic diagram — A schematic representation of a mechanism that preserves links, joints and their connectivity while suppressing most physical shape, scale and manufacturing detail.
• Mechanical Advantage — Mechanical advantage compares useful output with input force or, in rotary transmission, torque; its ideal ratio follows reciprocal motion under passive lossless work balance.
• Rigid rotor — An idealized rotating-body model in which mass distribution and internal distances remain fixed while orientation changes.