你所说的这种结构有两种情况:
一、状语从句的简化。例如:
〔时间状语从句〕
~after someone does sth. 可简化为 after doing sth. (逻辑主语与主句主语一致) 或 after one's doing sth. (与主句状语不一致)
~since someone did sth. 简化为 since doing sth. 或 since one's doing sth.
~before someone has done sth. 简化为 since having done sth. 或 since one's having done sth.
〔原因状语〕
~because someone does/did sth. 简化为 because doing sth. 或 because one's doing sth.
〔条件状语〕
~if someone does/did sth. 简化为 if doing sth. 或 if one's doing sth.
〔让步状语〕
~though someone does/did sth. 简化为 though having done sth. 或 if one's doing sth.
二、介词 +动名词短语
~in doing sth. 在做某事过程中
~with doing sth. 随着做某事
~for the reason of doing sth. 因为做某事
等等。