The existing finite difference methods for the design calculation of slope anchor frames resting on the Wink-ler foundation is based on the assumption of cutting off the beams at the positions of anchor bolts,resulting in the com-plexity of derivation.For that,a concise finite difference method without the truncation treatment was proposed by es-tablishing the flexural differential equation of the Winkler foundation beam subjected to concentrated loads.Additional-ly,the share and adjustment method of the tensile force on the vertical and transverse beams was modified based on the proposed finite difference method.A computation program with perfect function was then developed using the Matlab program language.The computation results of the examples show that the proposed finite element method is of very high precision.In the meantime,it found that even though the share and adjustment methods of the load at an intersection node in the existing textbooks are on the basis of the two conditions-compatible deformation and static equilibrium,the actual results cannot meet them well.In addition,negative soil resistances may occur in the direct computation results of the overhanging segments of a frame,leading to a computation result biased towards unsafety.They can be removed using the modified adjustment method to allow the results to be more reliable.Therefore,the proposed method perfectly solves the existing problems in the current approaches.
关键词
Winkler地基/边坡锚固框架/有限差分法/荷载分配与调整
Key words
Winkler foundation/slope anchor frame/finite difference method/load share and adjustment