WITH作伴随状语,或说明造成某一局面的原因.至于是用现在分词,还是过去分词得看与主句主句的关系是被动或主动. Fg:

with time passing by随着时间的流逝
He sat on the chair with his eyes closed.他坐在椅子上,眼睛闭着.

总结一下：

with 的复合结构可以分以下几种:

一.with + 名词 + 形容词.表处于一种状态.
  He often sleeps with windows open.他经常开着窗户睡觉.

二.with +名词 + 副词.
  There is a temple with no table in.

三.with +名词 + 介词短语.
  The teacher came into the classroom with a book under his arm. 

四.with + 名词 + 现在分词.这种结构表动作的主动和进行态.
  The old woman left the her house with water running all the time.

五.with + 名词 + 过去分词,这种结构表被动和完成.
  The thief was taken to the police station with his hands tied to his back.

六.with + 名词 + 不定式,这种结构表动作的将来式.
  The mamager has been busy these days with a lot of work to do .