Disable beep/chime in Secure Shell in Chrome OS
I know this is an old question but I found this via google today and I thought I'd post an updated answer for anyone else stumbling into this page.
If you'd rather not write JavaScript, There is now a Profile Settings page that can be reached via ctrl+shift+p.
To remove the bell you can delete the value in the audible-bell-sound field.
A friendly user of the chrome-os, Aseda, pointed me to the hterm/Secure Shell FAQ.
The audible bell can be disabled by opening the Javascript console by pressing Ctrl+Shift+J and then typing:
term_.prefs_.set('audible-bell-sound', '')