Abstract
In Chap. 2, the set of governing equations for the nonlinear analysis of the elasto-dynamic response of a beam were reviewed. It was shown that this analysis requires the solution of a system of four nonlinear partial differential equations together with five linear vector equations for nine variables. As an especial case, in this chapter, the finite difference method (FDM) is used for calculating the linear static response of a beam. In this way, the performance of the mentioned formulation for analyzing a linear static beam problem is illustrated.
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Reference
Cesnik, C. E. S., & Palacios, R. (2003). Modeling piezocomposite actuators embedded in slender structures. In Proceedings of the 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, 7–10 April, 2003, Norfolk, Virginia. Paper No.: AIAA 2003-1803.
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Ghorashi, M. (2016). Linear Static Analysis of Composite Beams. In: Statics and Rotational Dynamics of Composite Beams. Springer, Cham. https://doi.org/10.1007/978-3-319-14959-2_3
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DOI: https://doi.org/10.1007/978-3-319-14959-2_3
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