Combined Torsion Analysis of Functionally Graded Material Honeycomb Beams Based on Plate-beam Theory
Taking the functional gradient material I-beam with concentrated torque acting on the end as the research object,based on the Vlasov rigid perimeter assumption,the kirchhoff plate mechanics model and the plate-beam theory,it is concluded that the mechan-ical properties of the functional gradient beams vary continuously in the thickness direction through the power-law distribution of the vol-ume fractions of metals and ceramics,and the total strain energy for the torsion of the honeycomb beams is derived through the energy-variable-division method.Based on the concentrated torque acting on the end,the total potential energy equation is established,and the theoretical solution for the maximum torsion of the combined torsion of the honeycomb beam is derived by solving the differential equa-tion.ANSYS software is used to check the theory,and the layered simulation of material properties using shell181 cells is used to cal-culate the maximum torsion angles of 17 groups of honeycomb beams of different sizes under the concentrated torque at the ends,and the errors are between 1.61％ -3.47％ when compared with the theoretical solutions.
plate-beam theorycombined torsionfunctionally graded materialshoneycomb beamfinite element analysis
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