1There are many different types of automatic door, with each relying on specific signals to tell them when to open.
主干主干：There are many different types of automatic door（there be 句型，表"存在有"）
结构主句为 there be 存在句。逗号后 "with each relying on specific signals to tell them when to open" 是 with 复合结构（with + 宾语 + 现在分词）作伴随状语：each 指每种门，relying on 是现在分词作宾语补足语；to tell them when to open 作目的状语，其中 when to open 是"疑问词 + 不定式"结构，作 tell 的直接宾语。
译文自动门有许多不同的类型，每一种都依靠特定的信号来判断何时开启。
考点with + 宾语 + 现在分词 的独立主格式复合结构，表伴随，是考研高频考点 · "疑问词 + 不定式"（when to open）作宾语，相当于宾语从句 when they should open