equation of motion


Also found in: Dictionary, Thesaurus, Legal, Financial, Encyclopedia, Wikipedia.

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 ?
Formation of equation of motion for a spar platform, which combines a spar hull and mooring lines in a single integrated system can be expressed in Eq.
From this study we seek also a new way of finding the equation of motion of the microscopic particles in nonlinear systems, i.
A better estimate could be obtained from the full equation of motion for the yarn, but no simple analytic expression can be obtained in this case.
In this case the equation of motion during impact can be obtained taking into account the relationship
0] is a length scale to be identified as the location of the first turning point of x(t) motion, the equation of motion between each turning point can be written as
In general, any reasonable equation of motion for h should preserve this set of conditions and evolve in our coordinate time variable t for all values.
Equation (20) is the equation of motion of the substance unit in the direction of the first spatial axis of the reference system, and it corresponds to the equation d/dt([partial derivative]L/[partial derivative][?
The equation of motion, governing the flow of the fluid is given by,
The final result, the equation of motion for an infinitesimal yarn segment, can be written as
The pre-mentioned differential formulation of the equations of motion is equivalent to integral formulation, which requires the application of Lagrange's equation of motion.