Systems and methods for drape forming a charge of composite material are disclosed herein. The systems include a forming mandrel, a charge support structure, a flexible and resilient forming membrane, a base, and a vacuum source. The charge support structure includes a flexible and resilient charge support membrane, a membrane suspension device, and a release structure. The release structure operatively couples the charge support membrane to the membrane suspension device when a tension on a peripheral region of the charge support membrane is less than a threshold tension and releases the charge support membrane from the membrane suspension device when the tension is greater than the threshold tension. Alternatively, and in place of the charge support structure, the systems include a means for supporting the charge of composite material. The methods include methods of drape forming a charge of composite material.