Time machine crashes macbook air 2011

Hello,
I'm using Macbook Air 2011 13 inches and running Lion 10.7.2
I'm trying to use time machine on an external hard drive.
But the time machine always crashes the whole computer while I leave the computer unattended for 2 or 3 hours. When I keep using it, it can perform hourly backup without any problem. Once i decide to leave my macbook unattended for over 2 hours, when coming back, the whole system crashes at the stage of backing up 0 KB of XX MB. I put the log below. I have changed the external driver so it is not the external hard disk that generates this problem.
System log:
Nov  7 22:29:00 Yous-MacBook-Air com.apple.backupd[1057]: Starting standard backup
Nov  7 22:29:00 Yous-MacBook-Air com.apple.backupd[1057]: Backing up to: /Volumes/DATA/Backups.backupdb
Nov  7 22:29:00 Yous-MacBook-Air com.apple.backupd[1057]: Ownership is disabled on the backup destination volume.  Enabling.
Nov  7 22:29:04 Yous-MacBook-Air com.apple.backupd[1057]: Backup content size: 33.5 GB excluded items size: 5.1 GB for volume Macintosh HD
Nov  7 22:29:04 Yous-MacBook-Air com.apple.backupd[1057]: 34.06 GB required (including padding), 112.69 GB available
Nov  7 22:29:04 Yous-MacBook-Air mds[65]: (Error) Volume: Could not find requested backup type:1 for volume
Nov  7 22:29:04 Yous-MacBook-Air com.apple.backupd[1057]: Waiting for index to be ready (101)
Nov  7 23:18:38 Yous-MacBook-Air com.apple.backupd[1057]: Copied 492473 files (26.7 GB) from volume Macintosh HD.
Nov  7 23:18:40 Yous-MacBook-Air com.apple.backupd[1057]: 594.0 MB required (including padding), 85.04 GB available
Nov  7 23:18:47 Yous-MacBook-Air com.apple.backupd[1057]: Copied 1850 files (2.9 MB) from volume Macintosh HD.
Nov  7 23:18:47 Yous-MacBook-Air com.apple.backupd[1057]: Copying Lion Recovery set
Nov  7 23:19:04 Yous-MacBook-Air com.apple.backupd[1057]: Backed up Lion Recovery to /Volumes/DATA/Backups.backupdb
Nov  7 23:19:05 Yous-MacBook-Air mds[65]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  7 23:19:06 Yous-MacBook-Air com.apple.backupd[1057]: Starting post-backup thinning
Nov  7 23:19:06 Yous-MacBook-Air com.apple.backupd[1057]: No post-back up thinning needed: no expired backups exist
Nov  7 23:19:06 Yous-MacBook-Air com.apple.backupd[1057]: Backup completed successfully.
Nov  7 23:27:42 Yous-MacBook-Air com.apple.backupd-auto[1552]: Not starting scheduled Time Machine backup - less than 10 minutes since last backup completed.
Nov  7 23:41:52 Yous-MacBook-Air com.apple.backupd[1630]: Starting standard backup
Nov  7 23:41:53 Yous-MacBook-Air com.apple.backupd[1630]: Backing up to: /Volumes/DATA/Backups.backupdb
Nov  7 23:41:57 Yous-MacBook-Air com.apple.backupd[1630]: 682.6 MB required (including padding), 84.59 GB available
Nov  7 23:42:33 Yous-MacBook-Air com.apple.backupd[1630]: Copied 3880 files (59.4 MB) from volume Macintosh HD.
Nov  7 23:42:33 Yous-MacBook-Air com.apple.backupd[1630]: 590.6 MB required (including padding), 84.53 GB available
Nov  7 23:42:36 Yous-MacBook-Air com.apple.backupd[1630]: Copied 691 files (15 KB) from volume Macintosh HD.
Nov  7 23:42:36 Yous-MacBook-Air mds[65]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  7 23:42:37 Yous-MacBook-Air com.apple.backupd[1630]: Starting post-backup thinning
Nov  7 23:42:37 Yous-MacBook-Air com.apple.backupd[1630]: No post-back up thinning needed: no expired backups exist
Nov  7 23:42:37 Yous-MacBook-Air com.apple.backupd[1630]: Backup completed successfully.
Nov  8 13:22:04 Yous-MacBook-Air UserEventAgent[11]: get_backup_share_points no AFP
Nov  8 14:22:32 Yous-MacBook-Air com.apple.backupd[375]: Starting standard backup
Nov  8 14:22:32 Yous-MacBook-Air com.apple.backupd[375]: Error -35 while resolving alias to backup target
Nov  8 14:22:42 Yous-MacBook-Air com.apple.backupd[375]: Backup failed with error: 19
Nov  8 15:22:32 Yous-MacBook-Air com.apple.backupd[402]: Starting standard backup
Nov  8 15:22:32 Yous-MacBook-Air com.apple.backupd[402]: Error -35 while resolving alias to backup target
Nov  8 15:22:42 Yous-MacBook-Air com.apple.backupd[402]: Backup failed with error: 19
Nov  8 16:22:32 Yous-MacBook-Air com.apple.backupd[409]: Starting standard backup
Nov  8 16:22:32 Yous-MacBook-Air com.apple.backupd[409]: Error -35 while resolving alias to backup target
Nov  8 16:22:42 Yous-MacBook-Air com.apple.backupd[409]: Backup failed with error: 19
Nov  8 17:22:32 Yous-MacBook-Air com.apple.backupd[452]: Starting standard backup
Nov  8 17:22:32 Yous-MacBook-Air com.apple.backupd[452]: Error -35 while resolving alias to backup target
Nov  8 17:22:42 Yous-MacBook-Air com.apple.backupd[452]: Backup failed with error: 19
Nov  8 18:42:54 Yous-MacBook-Air UserEventAgent[11]: get_backup_share_points no AFP
Nov  8 18:45:49 Yous-MacBook-Air mds[62]: (Error) Backup: doBackupIndexFile could not stat backup location /.MobileBackups/Computer/2011-11-08-184256/Volume/Library/Frameworks/SAVI.frame work/Resources /.MobileBackups/Computer/2011-11-08-184256/Volume/Library/Frameworks/SAVI.frame work/Resources. Error 2 with uid 0
Nov  8 19:08:50 Yous-MacBook-Air com.apple.backupd[1072]: Starting standard backup
Nov  8 19:08:51 Yous-MacBook-Air com.apple.backupd[1072]: Backing up to: /Volumes/DATA/Backups.backupdb
Nov  8 19:08:59 Yous-MacBook-Air com.apple.backupd[1072]: 2.44 GB required (including padding), 84.53 GB available
Nov  8 19:11:44 Yous-MacBook-Air com.apple.backupd[1072]: Copied 6501 files (1.5 GB) from volume Macintosh HD.
Nov  8 19:11:45 Yous-MacBook-Air com.apple.backupd[1072]: 590.6 MB required (including padding), 83.04 GB available
Nov  8 19:11:47 Yous-MacBook-Air com.apple.backupd[1072]: Copied 693 files (93 bytes) from volume Macintosh HD.
Nov  8 19:11:48 Yous-MacBook-Air mds[62]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  8 19:11:48 Yous-MacBook-Air com.apple.backupd[1072]: Starting post-backup thinning
Nov  8 19:11:48 Yous-MacBook-Air com.apple.backupd[1072]: No post-back up thinning needed: no expired backups exist
Nov  8 19:11:48 Yous-MacBook-Air com.apple.backupd[1072]: Backup completed successfully.
Nov  8 19:43:27 Yous-MacBook-Air com.apple.backupd[1102]: Starting standard backup
Nov  8 19:43:28 Yous-MacBook-Air com.apple.backupd[1102]: Backing up to: /Volumes/DATA/Backups.backupdb
Nov  8 19:43:30 Yous-MacBook-Air com.apple.backupd[1102]: 598.7 MB required (including padding), 83.04 GB available
Nov  8 19:43:38 Yous-MacBook-Air com.apple.backupd[1102]: Copied 1032 files (6.8 MB) from volume Macintosh HD.
Nov  8 19:43:38 Yous-MacBook-Air com.apple.backupd[1102]: 590.6 MB required (including padding), 83.04 GB available
Nov  8 19:43:39 Yous-MacBook-Air com.apple.backupd[1102]: Copied 84 files (93 bytes) from volume Macintosh HD.
Nov  8 19:43:39 Yous-MacBook-Air mds[62]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  8 19:43:40 Yous-MacBook-Air com.apple.backupd[1102]: Starting post-backup thinning
Nov  8 19:43:40 Yous-MacBook-Air com.apple.backupd[1102]: No post-back up thinning needed: no expired backups exist
Nov  8 19:43:40 Yous-MacBook-Air com.apple.backupd[1102]: Backup completed successfully.
Nov  8 20:43:27 Yous-MacBook-Air com.apple.backupd[1135]: Starting standard backup
Nov  8 20:43:27 Yous-MacBook-Air com.apple.backupd[1135]: Backing up to: /Volumes/DATA/Backups.backupdb
Nov  8 20:43:28 Yous-MacBook-Air com.apple.backupd[1135]: 597.1 MB required (including padding), 83.04 GB available
Nov  8 21:38:20 localhost UserEventAgent[11]: get_backup_share_points no AFP

completed.
Nov  9 14:11:35 localhost UserEventAgent[11]: get_backup_share_points no AFP
Nov  9 15:12:03 Yous-MacBook-Air com.apple.backupd[321]: Starting standard backup
Nov  9 15:12:03 Yous-MacBook-Air com.apple.backupd[321]: Error -35 while resolving alias to backup target
Nov  9 15:12:13 Yous-MacBook-Air com.apple.backupd[321]: Backup failed with error: 19
Nov  9 18:53:28 localhost UserEventAgent[11]: get_backup_share_points no AFP
Nov  9 18:56:40 Yous-MacBook-Air com.apple.backupd[324]: Starting standard backup
Nov  9 18:56:40 Yous-MacBook-Air com.apple.backupd[324]: Backing up to: /Volumes/STORAGE/Backups.backupdb
Nov  9 18:56:44 Yous-MacBook-Air com.apple.backupd[324]: 1.28 GB required (including padding), 400.56 GB available
Nov  9 18:57:54 Yous-MacBook-Air com.apple.backupd[324]: Copied 2326 files (569.5 MB) from volume Macintosh HD.
Nov  9 18:57:54 Yous-MacBook-Air com.apple.backupd[324]: 591.7 MB required (including padding), 400.00 GB available
Nov  9 18:57:58 Yous-MacBook-Air com.apple.backupd[324]: Copied 629 files (940 KB) from volume Macintosh HD.
Nov  9 18:57:58 Yous-MacBook-Air mds[62]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  9 18:57:58 Yous-MacBook-Air com.apple.backupd[324]: Starting post-backup thinning
Nov  9 18:57:58 Yous-MacBook-Air com.apple.backupd[324]: No post-back up thinning needed: no expired backups exist
Nov  9 18:57:58 Yous-MacBook-Air com.apple.backupd[324]: Backup completed successfully.
Nov  9 19:54:05 Yous-MacBook-Air com.apple.backupd[1010]: Starting standard backup
Nov  9 19:54:05 Yous-MacBook-Air com.apple.backupd[1010]: Backing up to: /Volumes/STORAGE/Backups.backupdb
Nov  9 19:54:13 Yous-MacBook-Air com.apple.backupd[1010]: 820.0 MB required (including padding), 400.00 GB available
Nov  9 19:55:45 Yous-MacBook-Air com.apple.backupd[1010]: Copied 5496 files (147.0 MB) from volume Macintosh HD.
Nov  9 19:55:46 Yous-MacBook-Air com.apple.backupd[1010]: 590.7 MB required (including padding), 399.85 GB available
Nov  9 19:55:49 Yous-MacBook-Air com.apple.backupd[1010]: Copied 174 files (3 KB) from volume Macintosh HD.
Nov  9 19:55:49 Yous-MacBook-Air mds[62]: (Error) Volume: Could not find requested backup type:2 for volume
Nov  9 19:55:50 Yous-MacBook-Air com.apple.backupd[1010]: Starting post-backup thinning
Nov  9 19:55:50 Yous-MacBook-Air com.apple.backupd[1010]: No post-back up thinning needed: no expired backups exist
Nov  9 19:55:50 Yous-MacBook-Air com.apple.backupd[1010]: Backup completed successfully.
Nov  9 20:54:05 Yous-MacBook-Air com.apple.backupd[1033]: Starting standard backup
Nov  9 20:54:05 Yous-MacBook-Air com.apple.backupd[1033]: Backing up to: /Volumes/STORAGE/Backups.backupdb
Nov  9 20:54:07 Yous-MacBook-Air com.apple.backupd[1033]: 591.4 MB required (including padding), 399.85 GB available
Nov  9 21:14:42 localhost UserEventAgent[11]: get_backup_share_points no AFP

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