Does the shuddering feel like a rumble strip on the road? Does it stop if you keep your foot on the gas when it is doing it and lightly put your foot on the brake just enough to turn on the brake lights? You may be experiencing a torque converter shudder. Sometimes when this happens it will set a misfire code because the computer is looking for a change in rpm at certain times. If it sees a change in rpm it could think the engine is misfiring when the torque converter clutch is slipping causing the "rumble strip effect". Also here is a tsb from GM regarding a shudder.
Bulletin No.: 99-07-30-007
Date: May, 1999
TECHNICAL
Subject:
Vehicle Shudder When Reapplying Throttle (Greater than 50%) Alter Stopping (Reprogram PCM)
Models:
1998 Buick LeSabre, Park Avenue
1998 Oldsmobile Eighty-Eight
1998 Pontiac Bonneville
with 3.8 L V6 Engine (VIN K - RPO L36)
and Hydra-Matic 4T65-E Transaxle (RPOs MN3, M15)
Condition
Some owners may comment about a vehicle shudder after slowing for a stop and reapplying the throttle at greater than 50 percent.
Cause
Condition may be due to insufficient line pressure causing improper clutch apply.
Correction
Reprogram the Powertrain Control Module.
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