Modeling is carried out on the foot-ground interaction force of the
hexapod robot walking in the soft slope environment. In order to accurately describe the dynamic process of slippage and collapse during mutual contact of foot and ground, the foot and ground acting force is analyzed in the normal direction and the tangential direction, in the normal direction, a shape theoretical model is established for irregular soil particles, modeling is conducted on the shape of the irregular soil particles based on the Fourier theory, and the shape of the irregular soil particles is obtained. A soil particle Fourier shape description
mathematical model is obtained, and the relation between normal
contact force and shape parameters in the irregular soil particle
contact process is constructed on the basis of a DMT
contact model and in combination with an irregular soil particle shape theoretical model based on the Fourier theory; in the tangential direction, due to the fact that the shape of the sand grains is irregular, the local
shear rate is nonlinear, and the angle of the shape of the grains causes a remarkable non-local effect, the boundary conditions of grain rolling between different
layers are considered when the grains roll, and the boundary conditions are determined according to the rolling characteristics of the grains between the adjacent
layers; obtaining different integral equations between the suspension layer and the
transition layer and between the
transition layer and the bottom layer, and assuming that the local flow velocity is integrated in depth to obtain a progressive solution of the average flow velocity when the bottom does not slip, so as to obtain a
constitutive equation of particle rolling. According to the foot-ground interaction force and the tangential particle rolling equation, the phenomena of sinking, sliding, falling and the like of the foot end of the
robot in the soft slope environment can be well described, and then the
gait of the
robot is optimized to cope with the complex environment.