I had + sth+ verb (infinitive without to)

A very unpleasant thing happened to me the other day.= I had a very unpleasant thing happen to me the other day.

why not:= I had a very unpleasant thing happened to me the other day.?

I don’t know this structure: I had + sth+ verb (infinitive without to), does it exist?

Thank you very much.

I think, maybe your question is similar to my question I has asked before. Refer to english-test.net/forum/ftopic76430.html

Dear teachers,
Is Salmonella right?
Thanks.