Forma, Vol. 5 (No. 1), pp. 29-41, 1990
Original Paper

Shape-Finding of Unstable Structures

Yasuhiko Hangai and Ken-ichi Kawaguchi

Institute of Industrial Science, University of Tokyo, 7-22-1, Roppongi, Minato-ku, Tokyo 106, Japan

(Received September 6, 1989; Accepted July 23, 1990)

Keywords: Unstable Structure, Rigid Body Displacement, Kinematic Relation, Shape-Finding, Generalized Inverse

Abstract. Structures which can change shape without strain under various changing loads are called "Unstable Structures" and their main characteristic is the existence of rigid body displacement without strain which is here examined by using the kinematic relationship. In addition, the shape-finding process from the initial shape to the final stable shape is traced under each given load.