teamcitybackup.rb

require "net/http"
require "uri"

uri = URI.parse("http://SERVERURL:8111/httpAuth/app/rest/server/backup")

http = Net::HTTP.new(uri.host, uri.port)

request = Net::HTTP::Post.new(uri.request_uri)
request.set_form_data({
    "includeConfigs" => "true",
    "includeDatabase" => "true",
    "includeBuildLogs" => "true",
    "fileName" => "ScheduledBackup"
  })

request.basic_auth 'admin', 'password'

response = http.request(request)