I read a story in the '80s (it could have been early or late '80s) about a man who built a suspended animation machine as a form of time travel because he wanted to see the future in person. I think he was from the past (not contemporary) maybe 100 years ago. He had a kind of capsule or pod and when he woke up the first time he was in a forest, trees having grown around him. His first experience was only 100 or 200 years into the future. He had an adventure, then went back to the pod to go even further into the future. There was no possibility of his return to his own time.
I read the first chapter in a short story collection. The introduction to the story mentioned that it was an excerpt from a longer story, perhaps a novel. I liked what I had read so far and would have liked to have read the whole story had I had it.
It's definitely not H. G. Wells The Time Machine, because the protagonist doesn't actually travel through accelerated time, and is unconscious between episodes/chapters.