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Virtual work equation

Virtual Work Equation, Variational Methods and Energy Principles... [Pg.139]

In this Chapter we consider the virtual work equation of a static problem and its relationship to the variational method and energy principle. [Pg.139]

In this notation the weak form (4.5) is equivalent to the following virtual work equation [VW] ... [Pg.140]

A fundamental outline of mechanics (or physics) and chemistry, including thermodynamics, is provided in Chap. 2, Introduction to Continuum Mechanics, Chap. 3, Non-equilibrium Thermodynamics and Chap. 4, Virtual Work Equation,... [Pg.398]

Writing the virtual work equation SW in terms of the physical Lagrangian stress tensor, we have ... [Pg.2222]

Integrating the virtual work over the cross-sectional area, the virtual work Equation (23) can be reduced to ... [Pg.2229]

The equilibrium equations are developed from the virtual work equation ... [Pg.2229]

An elastic stability analysis is presented in this paper for Timoshenko-type beams with variable cross sections taking into consideration the effects of shear deformations under the geometrically non-linear theory based on large displacements and rotations. The constitutive relationship for stresses and finite strains based on a consistent finite strain hyperelastic formulation is proposed. The generalized equilibrium equations for varying arbitrary cross-sectional beams are developed from the virtual work equation. The second variation of the Total Potentid is also derived which enables... [Pg.2232]

See other pages where Virtual work equation is mentioned: [Pg.140]    [Pg.143]    [Pg.144]    [Pg.144]    [Pg.2219]   
See also in sourсe #XX -- [ Pg.140 , Pg.144 ]



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Virtual Work Equation, Variational Methods and Energy Principles

Weak Form and the Virtual Work Equation

Working equations

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