The research status of Assur Group model synthesis and mechanism analysis are briefly dissertated

then Assur Group eigenvalues is analyzed and counted.A new expressing method and drawing rules of mechanism topology figure is addressed.Based on these rules and aimed to different Assur Group eigenvalues

model synthesis for N links Assur group can be quickly and accurately carried out by permutation and combination.A table is listed with all model topology and configuration graphs

in which the number of loop is less than 2 and the number of links is no bigger than 10.An example is listed to prove the significance of eigenvalues and figure database in mechanism level analysis.The theoretics research on Assur group model synthesis is extended

and detailed and referenced Assur group graph database is provided for mechanism research and application based on Assur group.