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Dynamical simulation is used in computer animation to assist animators to produce realistic motion, in industrial design (for example to simulate crashes as an early step in crash testing), and in video games. Body movement is calculated using time integration methods.
The simulation on the right was completed using a Brownian dynamics simulation. [ 16 ] [ 17 ] Starting with a Langevin equation for the system, m x ¨ = − γ x ˙ − c + σ ξ ( t ) {\displaystyle m{\ddot {x}}=-\gamma {\dot {x}}-c+\sigma \xi (t)} where γ {\displaystyle \gamma } is the friction term, ξ {\displaystyle \xi } is a fluctuating ...
It is common in SLS to use 0D —sometimes 1D— equations to model physical phenomena with space variables, instead of 2D or 3D equations. The reason for such a choice is the size of the simulated systems, which is generally too large (i.e. too many elements and/or too large space extension) for the simulation to be computationally tractable.
Classic model used for deriving the equations of a mass spring damper model. The mass-spring-damper model consists of discrete mass nodes distributed throughout an object and interconnected via a network of springs and dampers. This model is well-suited for modelling object with complex material properties such as nonlinearity and viscoelasticity.
Other phenomena can be modeled by simple harmonic motion, including the motion of a simple pendulum, although for it to be an accurate model, the net force on the object at the end of the pendulum must be proportional to the displacement (and even so, it is only a good approximation when the angle of the swing is small; see small-angle ...
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.
A motion simulator or motion platform is a mechanism that creates the feelings of being in a real motion environment. [1] In a simulator, the movement is synchronised with a visual display of the outside world (OTW) scene.
Brownian motion is the random motion of particles suspended in a medium (a liquid or a gas). [2] This motion pattern typically consists of random fluctuations in a particle's position inside a fluid sub-domain, followed by a relocation to another sub-domain. Each relocation is followed by more fluctuations within the new closed volume.