Time step estimates for explicit dynamics with reciprocal mass matrices. (June 2018)

• Record Type: Journal Article
• Authors: Schaeuble, Anne-Kathrin; Tkachuk, Anton; Bischoff, Manfred
• Is Part Of: Computers & structures. Volume 202(2018)
• Page Start: 74
• Page End: 84
• Publication Date: 2018-06
• Subjects: Time step estimate -- Gershgorin's theorem -- Reciprocal mass matrix -- Explicit dynamics; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2018.03.005
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Novel local, node-based time step estimate for reciprocal (inverse) mass matrices. Non-conservativity of element-based estimates for reciprocal masses is shown. Improved computational efficiency for penalty contact problems by proposed simplifications. Abstract: In this contribution, a novel local, node-based time step estimate for reciprocal mass matrices is proposed. Element-based estimates turn out to be not generally conservative and are consequently inadequate. Therefore, the nodal time step estimate for diagonally lumped mass matrices based on Gershgorin's theorem is further developed for application to reciprocal mass matrices. Additionally, simplifications of the proposed time step estimate that improve computational efficiency, especially for contact problems with the penalty method, are discussed and evaluated by numerical examples.