Study of the effects of forces on undeformable bodies
Movement of each of the components of the Boulton & Watt Steam Engine (1784) can be described by a set of equations of kinematics and kinetics
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In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are rigid (i.e. they do not deform under the action of applied forces) simplifies analysis, by reducing the parameters that describe the configuration of the system to the translation and rotation of reference frames attached to each body.[1][2] This excludes bodies that display fluid, highly elastic, and plastic behavior.
The dynamics of a rigid body system is described by the laws of kinematics and by the application of Newton's second law (kinetics) or their derivative form, Lagrangian mechanics. The solution of these equations of motion provides a description of the position, the motion and the acceleration of the individual components of the system, and overall the system itself, as a function of time. The formulation and solution of rigid body dynamics is an important tool in the computer simulation of mechanical systems.
^B. Paul, Kinematics and Dynamics of Planar Machinery, Prentice-Hall, NJ, 1979
^L. W. Tsai, Robot Analysis: The mechanics of serial and parallel manipulators, John-Wiley, NY, 1999.
and 22 Related for: Rigid body dynamics information
In the physical science of dynamics, rigid-bodydynamics studies the movement of systems of interconnected bodies under the action of external forces....
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A Treatise on the Analytical Dynamics of Particles and RigidBodies is a treatise and textbook on analytical dynamics by British mathematician Sir Edmund...
certain physical systems, such as rigidbodydynamics (including collision detection), soft bodydynamics, and fluid dynamics, of use in the domains of computer...
and dynamics of rigidbodies. Screw theory provides a mathematical formulation for the geometry of lines which is central to rigidbodydynamics, where...
The Open Dynamics Engine (ODE) is a physics engine written in C/C++. Its two main components are a rigidbodydynamics simulation engine and a collision...
dynamics is an inverse problem. It commonly refers to either inverse rigidbodydynamics or inverse structural dynamics. Inverse rigid-bodydynamics is...
space, such as the linear and angular momentum of planetary bodies and rigidbodydynamics. In orbital mechanics, the equations of motion of planets are...
kinematics and dynamics of rotation around a fixed axis of a rigidbody are mathematically much simpler than those for free rotation of a rigidbody; they are...
see Euler's laws of motion. These extend the scope of Newton's laws to rigidbodies, but are essentially the same as above. A new equation Euler formulated...
more or less ad hoc method to obtain the best fit to data. Simple rigidbodydynamics do not give the best theory; one has to account for deformations...
physics engines ignore deformation. A body that is assumed to be non-deformable is called a rigidbody. Rigidbodydynamics deals with the motion of objects...
wrote that the field should be called "rational mechanics." The term "dynamics" came in a little later with Gottfried Leibniz, and over a century after...
dealing with the rotation of a body, it becomes simpler to consider the body itself rigid. A body is generally considered rigid when the separations between...
into statics and dynamics, are even further subdivided, with statics' studies split into rigidbodies and rigid structures, and dynamics' studies split...
Analytical mechanics and Lyapunov's Stability of Motion Rigidbodydynamics and Space Dynamics Interactive Optimization and Decision support systems Parallel...
moment of inertia or the second moment of area of a rigidbody about any axis, given the body's moment of inertia about a parallel axis through the object's...
end of a spring, is shown. The other end of the spring is connected to a rigid support such as a wall. If the system is left at rest at the equilibrium...
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