Mag stripe ATM cards are guaranteed to be accepted at bank operated ATMs through 2020.
What does that mean? Well, if you use the convenient cash dispenser you find in a bar, coffee shop, or similar place that has no recognizable bank affiliation, you might be out of luck (and you probably will get charged extra fees or a bad rate by the operator of that machine). On the other hand, if you use an ATM you find either inside a bank lobby or immediately outside with that bank's logo on it, your mag stripe card will work and you will pay the lowest cost to get cash. Of course, you should notify your bank of your travel plans before departing.
So to actually answer the question, it doesn't matter if your card has the stripe or the chip (and especially not if it does the wavy thing) if all you might use it for in your travels is to get cash from an ATM as long as the expiration date is NOT during the time you will be traveling.