Theoretical Study of Combined Torsion of FRP Beams with Triangular Cross Section
Based on the plate-beam theory,the total strain energy and total potential energy of the cantilever beam torsion in the case of concentrated torque at the end are deduced from the displacement,strain,stress and the intrinsic relationship of the FRP material of each plate,and then the energy variational model and the differen-tial equation model of the combined torsion problem of FRP triangular beams are constructed based on the energy variational method.Finally,the approximate analytical solution of the maximum torsion angle is obtained by boundary conditions,and the results are verified with the simulation results of Ansys finite element software,which show that the approximate solution obtained by theoretical calculation basically agrees with the finite ele-ment simulation solution,proving the correctness of the theoretical model,which can provide reference for engi-neering design.
fiber-reinforced compositesplate-beam theorycombined torsionfinite element analysisener-gy variation