equation of motion


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e·qua·tion of mo·tion

(ĕ-kwā'zhŭn mō'shŭn)
1. An expression of Newton's second law that relates forces, displacements, and their derivatives for a mechanical system.
2. For the respiratory system, an equation that relates the forces involved in breathing to the displacements they produce. Typically, pressure differences are used to represent generalized forces and volume changes are used to represent generalized displacements. The simplest equation of motion written for the lungs states that the change in transpulmonary pressure is equal to the sum of an elastic term plus a flow resistive term: transpulmonary pressure change = elastance × tidal volume + resistance × change in flow.

equation of motion

A statement of the variables of pressure, volume, compliance, resistance, and flow for respiratory system mechanics.
See also: equation
References in periodicals archive ?
which is the same with Euler-Lagrangian equation of motion.
For the field acting on the centre of mass, the particle mass and charge appear as if they are at the centre of mass point and we treat the equation of motion of the particle in the point particle limit.
In this case the equation of motion during impact can be obtained taking into account the relationship
9) with respect to time yields the equation of motion, Eq.
Solving for the optimal investment behavior necessary to maximize expected life-cycle wealth subject to the equation of motion for human capital requires solving the Hamiltonian equation.
This uncertainty is indeed reflected in the equation of motion, for this has multiple solutions for the initial values x = x[prime] = 0: this is why the system is non-deterministic.
If the tested mechanical system was modeled using FEM, the general equation of motion for time step i would be in form:
Hence, the equation of motion in Figure 6 becomes equation (3).
As an aside, it is interesting to apply C to the electron equation of motion.
The equation of motion (17) can be simplified by using the operator equality: d / dt=[partial derivative] / [partial derivative]t + v x [nabla].
The final result, the equation of motion for an infinitesimal yarn segment, can be written as
In order to construct the equation of motion for a damped nonlinear forced oscillator (think about a pendulum of mass m and length L), let's remember that according to Newton's second law, the force F acting on a particle of mass m, gives this mass an acceleration, this is mathematically represented as