The present invention provides a method and
system for singularity analysis of a multi-loop
coupling mechanism based on geometric algebra, comprising: selecting a fixed platform and a movable platform of the mechanism, dividing a basic
branch and a coupled
branch coupled thereto in a
closed loop, writing the motion spiral of the
kinematic pair on each
branch, and obtaining its constraint space by calculating the
motion space of each branch; determining the relationship between the constraint space of the coupled branch and the basic branch, and equivalently forming a new constraint space; performing the above calculation steps on all basic branches containing a
closed loop; removing redundant constraint spirals on each new branch after the
closed loop is equivalent, calculating the
outer product of the constraint space of all equivalent branches, obtaining the
outer product coefficient, and setting the
outer product coefficient to 0 to obtain the
singular configuration of the mechanism. The singularity
analysis method of the present invention only needs to determine the motion spiral of each branch of the multi-loop
coupling mechanism to calculate the branch constraint space, and then obtain the
singular configuration of the mechanism, thereby conveniently and concisely performing singularity analysis on the multi-loop
coupling mechanism.