shortcode change variable base on user

If this works for you in the template:

$s="[cfdb-table form="Contact form 1" show="Submitted Login,your-email,your-message" search="AndrewA"]";
echo do_shortcode($s);

then you could try:

global $current_user;
get_currentuserinfo();
$s = sprintf('[cfdb-table form="Contact form 1" show="Submitted Login,your-email,your-message" search="%s"]',$current_user->display_name); 
echo do_shortcode($s);