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Variational and energy principles

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Structural Analysis

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 163))

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Chapter 9 presents the principle of virtual work and its complementary counterpart for particles, systems of particles, and trusses. These principles are introduced by means of simple examples and no attempt is made to formally derive them for threedimensional solids.

Chapter 10 follows a similar pattern for the derivation of the principle of minimum total potential energy and of its complementary counterpart. Simple applications are presented focusing on mechanical systems, and trusses. Basic concepts of the finite element method applied to truss structures are presented.

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Bauchau, O.A., Craig, J.I. (2009). Variational and energy principles. In: Bauchau, O.A., Craig, J.I. (eds) Structural Analysis. Solid Mechanics and Its Applications, vol 163. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2516-6_12

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  • DOI: https://doi.org/10.1007/978-90-481-2516-6_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-2515-9

  • Online ISBN: 978-90-481-2516-6

  • eBook Packages: EngineeringEngineering (R0)

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