Rigid bodies

A rigid body is a physical object that maintains its shape and size regardless of the forces and torques acting upon it. In other words, the distances between any two points within a rigid body remain constant, even when the body is subjected to external influences such as forces, moments, or impacts. In the context of physics and engineering, the concept of a rigid body is an idealization that simplifies the analysis of motion, forces, and dynamics.

AGX Multiphysics is a simulation software platform designed for the modeling and analysis of complex physical phenomena across various domains, including mechanical, electrical, fluid, and thermal systems. It is particularly geared toward applications in engineering and research that require the interaction of multiple physics—hence the term "multiphysics.

Euler's equations in the context of rigid body dynamics describe the rotation of a rigid body about a fixed point. When dealing with the motion of a rigid body, it's often useful to consider it as a system of particles and apply Newtonian mechanics. However, for rotating bodies, Euler's equations provide a more efficient approach.

A **kinematic pair** is a fundamental concept in kinematics and mechanical engineering that refers to the relationship between two links (or bodies) that are connected in such a way that they can move relative to each other. The motion that occurs between the two links is constrained to a specific type of movement due to the geometry of the connection.

The MacCullagh ellipsoid is a mathematical construct used in the field of geodesy, which is the study of Earth's shape and size. Specifically, the MacCullagh ellipsoid refers to a type of reference ellipsoid that is defined using parameters that best fit the geoid (the true physical shape of the Earth as affected by gravity and rotation) for specific regions or globally.

The Newton–Euler equations are a set of equations that describe the motion of rigid bodies in three-dimensional space, combining concepts from both Newtonian mechanics and Euler's rotation equations. These equations are particularly useful for analyzing the dynamics of a rigid body under the influence of both translational and rotational forces and torques. ### Overview: 1. **Newton's Laws of Motion**: These laws provide the foundational principles for describing the motion of a body.

Poinsot's ellipsoid is a geometric representation used in the study of rigid bodies in classical mechanics. It specifically describes the distribution of mass and the inertial properties of a rigid body. The concept is related to the inertia tensor of the body, which characterizes how the mass is distributed relative to its rotational axes. Poinsot's ellipsoid represents the relationships between the principal moments of inertia and the axes of rotation.

A rigid body is a solid object in which the distance between any two points within the object remains constant regardless of external forces or moments acting on it. In other words, a rigid body does not deform under the influence of forces; it maintains its shape and size. Key characteristics of a rigid body include: 1. **Invariance of Shape and Size**: The distances between points within the body do not change.

Vortex refers to several software solutions across different fields and uses, so its specific meaning can vary depending on the context. Here are a few common interpretations: 1. **Vortex (Game Engine)**: Vortex is a game engine that provides tools for game developers to create 2D or 3D games. It typically includes features like physics simulation, graphics rendering, and user interface design tools.