I don't think they use the word, "rapture" in the bible but I do believe that when the Lord comes in the clouds during his second coming that the righteous will be caught up into the clouds to meet him.
1 Thessalonians 4:16-18
16 For the Lord himself shall descend from heaven with a shout, with the voice of the archangel, and with the trump of God: and the dead in Christ shall rise first:
17 Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord.
18 Wherefore comfort one another with these words.
I believe the reason that the righteous will be caught up in the clouds to meet Jesus at his coming is so that they are not burned. The righteous will be saved by lifting them up and then Christ will cleanse the earth with fire. The wicked will then become stubble under the feet of the righteous when Christ comes.
Malachi 4:1-3
1 For, behold, the day cometh, that shall burn as an oven; and all the proud, yea, and all that do wickedly, shall be stubble: and the day that cometh shall burn them up, saith the Lord of hosts, that it shall leave them neither root nor branch.
2 But unto you that fear my name shall the Sun of righteousness arise with healing in his wings; and ye shall go forth, and grow up as calves of the stall.
3 And ye shall tread down the wicked; for they shall be ashes under the soles of your feet in the day that I shall do this, saith the Lord of hosts.