Here in a winning position Reshevsky blunders with Qxg3? This allows Evans to sacrifice his queen and force a draw. If the rook is captured it will be stalemate and if the king moves it will be perpetual check.
Forced Stalemates
It's quite hard.
Even in my this "lost game", my opponent made an unforced error and allowed me to escape with a draw, I would not classify this as a forced perpetual check.
Forced stalemates are much harder, and so far all of my games that ended in stalemate (both the situations where I was stalemating the opponent and where I was stalemated) appear due to something unforced.
Here in a winning position Reshevsky blunders with Qxg3? This allows Evans to sacrifice his queen and force a draw. If the rook is captured it will be stalemate and if the king moves it will be perpetual check.
This one is not strictly a forced stalemate, because Reshevsky does have the choice between capturing the rook (draw by stalemate) or moving the king (perpetual check eventually forcing threefold repetition). I suppose there might be desperado positions where that choice does not exist and the only legal move to get out of check is the capture that creates stalemate - but cannot provide examples.
Turns out it is impossible to be legally forced into stalemate since 1997:
5.2.2 | The game is drawn when a position has arisen in which neither player can checkmate the opponent’s king with any series of legal moves. The game is said to end in a ‘dead position’. This immediately ends the game, provided that the move producing the position was in accordance with Article 3 and Articles 4.2 – 4.7. |
Therefore, as soon as all moves that otherwise would be legal result in a stalemate, the game already ends in a dead position - being forced into stalemate is impossible because the position forcing stalemate is a dead position. Example position:
White is in check and would otherwise have two legal moves to get out of check: Kxg5 or hxg5. However, both would create stalemate. Therefore the position already is a dead position and the game has already ended.

It is more common, I think, to force a draw by repetition where stalemate is a threat. That's what happened here. Black to move in all three diagrams.
But, stalemate can be forced from many positions.
My opponent forced stalemate from:
And I did from:

Pfft! Who would want to force stalemate? If you're determined not to win you might as well resign.
Yeah cuz I'm sure if you were in a tournament you would throw away the half a point.
It is more common, I think, to force a draw by repetition where stalemate is a threat. That's what happened here. Black to move in all three diagrams.
But, stalemate can be forced from many positions.
My opponent forced stalemate from:
As I pointed out, no, under 5.2.2 stalemate can never be forced:
White would otherwise have one legal move to get out of check, but this would produce stalemate. Since all legal moves draw, the position on board is a dead position, the game already is ended and it is illegal for White to actually capture the rook and produce stalemate.
Choice between stalemate and threefold repetition is not a dead position. In case of perpetual check, the defender needs to actually keep up checking until third repetition and then actually claim. The defender might legally blunder into making a different move and getting checkmated after all. Therefore the game does not end in dead position before the attacker actually plays stalemate or either player claims threefold repetition (or a fivefold repetition happens).

Pfft! Who would want to force stalemate? If you're determined not to win you might as well resign.
If I have an inferior position, I would be thrilled to draw!
Half a point beats no points all day and twice on Sunday.
Only moronic clowns don't appreciate the draw in the game of chess and the many ways to achieve it!

Turns out it is impossible to be legally forced into stalemate since 1997:
5.2.2 The game is drawn when a position has arisen in which neither player can checkmate the opponent’s king with any series of legal moves. The game is said to end in a ‘dead position’. This immediately ends the game, provided that the move producing the position was in accordance with Article 3 and Articles 4.2 – 4.7.Therefore, as soon as all moves that otherwise would be legal result in a stalemate, the game already ends in a dead position - being forced into stalemate is impossible because the position forcing stalemate is a dead position. Example position:
White is in check and would otherwise have two legal moves to get out of check: Kxg5 or hxg5. However, both would create stalemate. Therefore the position already is a dead position and the game has already ended.
Actually, forced stalemate is possible based on the rules given.
WKc8, WQh8, WPb5, BKa7, BQg3, BPb6. Black to Move.
The game is not over as Black can legally play one of many legal moves, and many lose, but he has a forced stalemate with 1...Qc7 if he wants it. Of course, instead of the losing moves or 1...Qc7, I would advise Black to play 1...Qb8 and win!

As I pointed out, no, under 5.2.2 stalemate can never be forced:
Chess.com does not use FIDE rules. In the US, very few events follow FIDE rules. Under USCF rules, stalemate is a legal move.
I saw your post before I created mine. It is useful, but does not answer the OP's question.

What about the "crazy rock"? Where you have only one rock beside your king and this one can't move at all (or there are also other materials that can't move anymore).
Therefore, you just attack the opposent's king with your rock at each move; either he moves and you go on with attacks, or he takes the rock and lt's draw.
Whatever the circomstances, the goal might be for the team's score, or when the victory isn't possible anymore (or you are in a hurry to eat!!).
What about the "crazy rock"? Where you have only one rock beside your king and this one can't move at all (or there are also other materials that can't move anymore).
Therefore, you just attack the opposent's king with your rock at each move; either he moves and you go on with attacks, or he takes the rock and lt's draw.
Yes, that´s the situation in all the diagrams.
But my point is that under the Fide rules since 1997, none of them is a "forced stalemate", and there cannot be a "forced stalemate". Either the king has a choice between capturing the rook (and drawing by stalemate) and moving (and being chased by perpetual check into threefold repetition) and then the stalemate is not specifically forced because the king can choose to draw by repetition instead of stalemate. Or else the king has nowhere to move, but then it is a dead position and the game should end in a draw then, without actually capturing the rook.

What about the "crazy rock"? Where you have only one rock beside your king and this one can't move at all (or there are also other materials that can't move anymore).
Therefore, you just attack the opposent's king with your rock at each move; either he moves and you go on with attacks, or he takes the rock and lt's draw.
Yes, that´s the situation in all the diagrams.
But my point is that under the Fide rules since 1997, none of them is a "forced stalemate", and there cannot be a "forced stalemate". Either the king has a choice between capturing the rook (and drawing by stalemate) and moving (and being chased by perpetual check into threefold repetition) and then the stalemate is not specifically forced because the king can choose to draw by repetition instead of stalemate. Or else the king has nowhere to move, but then it is a dead position and the game should end in a draw then, without actually capturing the rook.
Please bear in mind that FIDE rules apply to FIDE sanctioned competition, and only FIDE sanctioned competition.
It does not apply to competition sanctioned by other bodies, nor to casual chess, nor to the vast majority of websites (and those claiming to employ FIDE rules likely do not encode the rule as you have explained it).
Hence, your post is interesting, but barely relevant.
I was thinking, is it possible to be forced into a Stalemate? If so provide examples.