d'Alembert's principle

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d'Alembert's principle

n
(General Physics) physics the principle that for a moving body the external forces are in equilibrium with the inertial forces; a generalization of Newton's third law of motion
[C18: named after Jean Le Rond d'Alembert (1717–83), French mathematician, physicist, and rationalist philosopher]
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References in periodicals archive
The principle of virtual work for plane strain condition describes the structural model which forms the differential algebraic equation (DAE) systemalong with heat equation which describes the heat transfer phenomena.
The principle of virtual work and various energy methods calculate the displacement of beams and trusses and the effects of temperature gradients in beams while the finite element method establishes the stiffness matrix for each element in a continuum structure.
The volume presents 14 selected plenary lectures and key-note lectures on such aspects as recent developments in computational methods for microsystems, a design for piezoelectric sensors for structural and health monitoring based on the principle of virtual work, different perspectives on applying the continuous dynamic monitoring of bridges, controlling wall turbulence by spinning discs, and smart nano-systems and inflammatory reactions.
The principle of virtual work states that the variation of work W induced by forces [F.sub.i] and virtual displacements [du.sub.i] in an equilibrium state equals zero:
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