Analytical method for geometric nonlinear deformation in side arch foot displacement multi-arch structural plane

The invention relates to a method for analyzing geometric nonlinear deformation in a side arch foot displacement multi-arch structural plane, which is based on a nonlinear compression strain-displacement expression and a nonlinear bending strain-displacement expression in an arch structural plane under a Cartesian rectangular coordinate system. Obtaining a nonlinear equilibrium differential equation of the multi-arch structure in horizontal and vertical directions in consideration of side arch foot displacement under a Cartesian rectangular coordinate system; according to the mechanical equilibrium condition and the displacement coordination condition of the arch springing of the multi-arch structure of the Cartesian rectangular coordinate system, a non-linear vertical displacement expression of the multi-arch structure considering the side arch springing displacement is obtained; and based on the principle that the sum of the curve integral of the compression strain of each arch of the multi-arch structure a