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Unplug the power cord and disconnect the gas, if applicable. Use a screwdriver to wedge open and remove the bottom panel. Use a vacuum's hose attachment to suck out any lint buildup. Reattach both panels, replace the lint screen, and test the dryer.
You'll need to shut off the power and gas to stay safe before opening up the body of your dryer. If your dryer is gas-powered, turn the gas valve on the dryer line to the "off" position or turn off the valve supplying gas to your whole house. Then unscrew the flex hose to disconnect the dryer from the gas line and use a gas line cap to seal the line. Refer to the manual that came with your electric or gas dryer if you're not sure where to locate the power cord or gas line. Insert a screwdriver into the gaps close to the where the catches are (usually at the top corners of the panel). You may need to slide the screwdriver to the left or right and wiggle it around until the catches release. Refer to your dryer's manual to see exactly where the catches are and if there are any additional instructions about how to remove the panel. If your dryer doesn't have a removable panel underneath where you load clothes, you may need to slide it away from the wall and remove the back panel. Sometimes lint can drop into the body of the dryer, coming in contact with the heating element and causing the lint to heat up (hence the burning smell). Use a vacuum attachment to clean out all the lint. Reattach the bottom and top panels, sliding and pushing them into the correct position until you hear the catchers click into place. Then replace the screws on the lint trap opening before plugging in the dryer. Run it for about 1 or 2 minutes and if you still notice the burning smell, stop it immediately and unplug it again. If the smell persists, you may need to clean the hose duct or call a professional.