**Virtual work** arises in the application of the *principle of least action* to the study of forces and movement of a mechanical system. Historically, virtual work and the associated calculus of variations were formulated to analyze systems of rigid bodies, but they have also been developed for the study of the mechanics of deformable bodies.

Read more about Virtual Work: Explanation, History, Introduction, Static Equilibrium, One Degree-of-freedom Mechanisms, Law of The Lever, Gear Train, Virtual Work Principle For A Rigid Body, Virtual Work Principle For A Deformable Body, Alternative Forms

### Other articles related to "virtual work, virtual":

**Virtual Work**- Static Equilibrium

... system rigid bodies is defined by the that condition that the

**virtual work**of the applied forces is zero for any

**virtual**displacement of the system ... This is known as the principle of

**virtual work**... requirement that the generalized forces for any

**virtual**displacement are zero, that is Qi=0 ...

... a small algebraic manipulation of Newton's law Considering the

**virtual work**, done by the total and inertial forces together through an arbitrary

**virtual**displacement, of the system leads to a zero identity ... Separating the total forces into applied forces, and constraint forces, yields If arbitrary

**virtual**displacements are assumed to be in directions that are orthogonal to the constraint forces (which is ... of applied forces and inertial forces for a dynamic system does no

**virtual work**There is also a corresponding principle for static systems called the principle of

**virtual work**for applied forces ...

**Virtual Work**- Alternative Forms

... A specialization of the principle of

**virtual**forces is the unit dummy force method, which is very useful for computing displacements in structural systems ... of inertial forces as additional body forces will give the

**virtual work**equation applicable to dynamical systems ... energy principles in structural mechanics, the

**virtual work**principle deserves a special place due to its generality that leads to powerful applications in structural analysis, solid ...

**Virtual Work**- Velocity Formulation

... In the application of the principle of

**virtual work**it is often convenient to obtain

**virtual**displacements from the velocities of the system ... particle system, let the velocity of each particle Pi be Vi, then the

**virtual**displacement δri can also be written in the form This means that the generalized force, Qj, can ...

**Virtual Work**

... Summing the internal

**virtual work**(14) for all elements gives the right-hand-side of (1) Considering now the left-hand-side of (1), the system external ...

### Famous quotes containing the words work and/or virtual:

“... whoever believes anything esteems that it is a *work* of charity to persuade another of it.”

—Michel de Montaigne (1533–1592)

“Neither dead nor alive, the hostage is suspended by an incalculable outcome. It is not his destiny that awaits for him, nor his own death, but anonymous chance, which can only seem to him something absolutely arbitrary.... He is in a state of radical emergency, of *virtual* extermination.”

—Jean Baudrillard (b. 1929)