A pressure relief valve includes a housing including an air passage chamber defining an airflow passage and a membrane flap secured within the air passage chamber. The membrane flap covers the airflow passage in a closed position. A portion of the membrane flap is configured to move off the airflow passage into an open position. A flap motion dampener is proximate to the airflow passage. The flap motion dampener is configured to control motion of the membrane flap as the membrane flap seats over the airflow passage in order to dampen noise.