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Virtual work

In mechanics, virtual work arises in the application of the principle of least action to the study of forces and movement of a mechanical system. The work of a force acting on a particle as it moves along a displacement is different for different displacements. Among all the possible displacements that a particle may follow, called virtual displacements…

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Overview

History

Static equilibrium

Law of the lever

Gear train

Dynamic equilibrium for rigid bodies

Virtual work principle for a deformable body

Alternative forms

Bibliography

Advanced semantic analysis

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Map overview Semantic statistics

Virtual work

Nodes62
Edges61
Triples84
Avg. degree1.97
Density0.032258
Components1

How this topic connects Entity context

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Virtual work

Top relations

related to history · 31
Virtual work → Although Lagrange, Arabs, Bernoulli's, D'Alembert, D'Alembert's, Descartes, Dynamique, Galileo, Greeks, He, His, Huygens, In, It, Johann Bernoulli, Lagrange, Lagrange's, Latins, Leibnizian, Mécanique Analytique
related to Static equilibrium · 9
Virtual work → Fi, In, It, Mj, Static, Suppose, That, The, This
related to D'Alembert's form of the principle of virtual work · 7
Virtual work → D'Alembert's, If, Lagrange's, Qj, The, This, Thus
related to Constraint forces · 6
Virtual work → An, Lanczos, Newton's, The, There, This
related to Dynamic equilibrium for rigid bodies · 6
Virtual work → D'Alembert, D'Alembert's, If, Newton's, The, When
related to overview · 6
Virtual work → Consider, If, In, It, The, This
has treatment · 5
Virtual work → Consider, It, Now, Suppose, The
related to Alternative forms · 4
Virtual work → According, D'Alembert's, Lagrange, More
related to Principle of virtual displacements · 4
Virtual work → Depending, For, There, Virtual
related to External links · 3
Virtual work → Archived, Examples, Wayback Machine

Important terminology Word statistics

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Important terminology

work virtual displaystyle forces principle displacements equilibrium mathbf generalized force system frac rigid applied body cdot partial mechanics zero quad

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Virtual workis atotal work done by the applied forces and the inertial forces of a mechanical system as it moves through a set of virtual displacements0.90text
F Ainstance ofby summing the work done by forces0.80text
δ uinstance ofVirtual displacements and strains as variations of the real displacements and strains using variational notation0.80text
Virtual workhas treatmentConsider0.60section
Virtual workhas treatmentThe0.60section
Virtual workhas treatmentIt0.60section
Virtual workhas treatmentNow0.60section
Virtual workhas treatmentSuppose0.60section
Virtual workrelated to Alternative formsAccording0.60section
Virtual workrelated to Alternative formsD'Alembert's0.60section
Virtual workrelated to Alternative formsMore0.60section
Virtual workrelated to Alternative formsLagrange0.60section

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    Min side: 3
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