How to get node (server) list from VIP name

You can get node list:

 tmsh -c 'list ltm virtual  virtual_server_name'  
`

from previuos command you get pool_name, then:

` tmsh -c list 'ltm pool pool_name'

the output will be node list

You do indeed need to query the VIP first to get the name of the assigned pool:

curl -vsk -u 'admin:admin' -H "Content-Type: application/json" -X GET https://x.x.x.x/mgmt/tm/ltm/virtual/my-vs

and then you can query for the pool members:

curl -vsk -u 'admin:admin' -H "Content-Type: application/json" -X GET https://x.x.x.x/mgmt/tm/ltm/pool/my-pool?expandSubcollections=true

or if you want to get fancy:

curl -vsk -u 'admin:admin' -H "Content-Type: application/json" -X GET https://x.x.x.x/mgmt/tm/ltm/pool/my-pool?expandSubcollections=true | sed 's/,/\'$'\n/g' | grep name | grep -v my-pool | awk -F"\"" '{ print $4 }'