Analytical plane-stress recovery of non-prismatic beams under partial cross-sectional loads and surface forces
نویسندگان
چکیده
High levels of strength- and stiffness-to-mass ratio can be achieved in slender structures by lengthwise tailoring their cross-sectional areas. During use, a non-prismatic beam element subject to surface forces or loads acting on only part cross-section. Practical examples involve tapered aircraft wings, wind turbine helicopter rotor blades under fluid pressure shear forces; arched beams bridges vehicular traction tensile stresses tendons prestressed concrete. Presently, theories generalise the external entire area. However, this technique does not accurately describe surface-load boundary conditions partial loads. Hence, an efficient analytical plane-stress recovery methodology is introduced present study that generalises load specific sub-area cross-section homogeneous with one plane symmetry. As result, transverse stress components become piecewise distributions, i.e. non-smooth but continuous thickness direction. Additional novelties include equilibrium recovered considering applied terms up second-order derivatives internal define field. Closed-form solutions for case rectangular loaded both top bottom surfaces are presented. For validation purposes, different numerical modelled results compared solid-like finite analyses as well relevant theories. The show developed formulation predicts field non-uniform area goods accuracy. error associated proposed method escalates taper angle, such 10° angle could result 6% at reduced values interior zones, while state-of-the-art models were able predict correctly.
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ژورنال
عنوان ژورنال: Engineering Structures
سال: 2022
ISSN: ['0141-0296', '1873-7323']
DOI: https://doi.org/10.1016/j.engstruct.2021.113169