Abstract
The paper provides a recurrenceexact formulation for homogeneous elastic beams of generic Cartesian anisotropy under axially polynomial loading distributions. The model is derived by solution levels that consistently reduce the problem to a recurrence sequence of two-dimensional boundary value problems. It therefore represents a generalization of Lekhnitskii’s model, and supplies a comprehensive solution methodology for homogeneous anisotropic beams.
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References
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Rand, O., Rovenski, V. (2009). Anisotropic Elastic Beams With Axially Distributed Loads. In: Gilat, R., Banks-Sills, L. (eds) Advances in Mathematical Modeling and Experimental Methods for Materials and Structures. Solid Mechanics and Its Applications, vol 168. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3467-0_21
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DOI: https://doi.org/10.1007/978-90-481-3467-0_21
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