Form-finding and force-finding integrated design method for tension structure

The invention discloses a shape and force finding integrated design method for a tension structure, and relates to the technical field of engineering structure design. Establishing a free node force balance equation I; establishing an equation II of the mutual relation of the unit force densities; establishing an equation III of the total size of the unit force density; a free node force balance equation IV with node coordinates as unknown quantities is determined; establishing an equation V taking free node coordinates as unknown quantities; comprehensively obtaining a form-finding and force-finding integrated equation VI; solving an approximate solution of the form-finding and force-finding integrated equation VI by utilizing a least square method; updating a form-finding and force-finding integrated matrix and a form-finding and force-finding integrated coefficient; and the operation is repeated until the error of the form-finding and force-finding integrated equation VI is smaller than a preset error limi