Quantification of the redundancy distribution in truss and beam structures. (15th March 2021)

• Record Type: Journal Article
• Authors: von Scheven, Malte; Ramm, Ekkehard; Bischoff, Manfred
• Is Part Of: International journal of solids and structures. Volume 213(2021)
• Page Start: 41
• Page End: 49
• Publication Date: 2021-03-15
• Subjects: Statical indeterminacy -- Redundancy matrix; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2020.11.002
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: The degree of statical indeterminacy as a fundamental property in structural mechanics is today mainly known as a property of a complete system without any information about its spatial distribution. The redundancy matrix provides information about the distribution of statical indeterminacy in the system and by this gives an additional valuable insight into the load-bearing behaviour. The derivation and definition of the redundancy matrix are presented based on truss systems and its mathematical properties and their mechanical interpretations are provided. The definition of the redundancy matrix is extended to other discrete systems like beam structures and a definition of the redundancy density is given for the continuous 1D case. Potential applications of the concept include robust design of structures, quantification of imperfection sensitivity as well as assessment of optimal actuator placement in adaptive structures.