I have a faliover cluster SQL 2012 , and I have a self install Certificate Auth (CA) on one of my server under the same domain . I generate a certificate with CN=sqlvname.domain.com and also SAN for the FQDN of the physical nodes.
While I use the SSMS on the cluster node , it can successfully connect , (Encrypt connection) .
However on other server , also use SSMS to connect , to sqlvname.domain.com, it says 
any issues can think of ???
with using Trust certificate, it can connect. But I remember , we should not Trust the certificate , and let the client to verify the cert.