“…where S =∑ 11 si , K 12 si , K 22 si -sun gear/inner planet mesh sub-matrices; K 11 ri , K 12 ri , K 22 ri -ring gear/outer planet mesh sub-matrices; K 11 ppi−n , K 12 ppi−n , K 22 ppi−n -inner planet/outer planet mesh sub-matrices; K 11 BCi , K 12 BCi , K 21 BCi , K 22 BCi -carrier/pinion support stiffness sub-matrices. The element meshing stiffness matrices can be defined as…”