State-space based time integration method for structural systems involving multiple nonviscous damping models. (15th July 2016)

• Record Type: Journal Article
• Authors: Ding, Zhe; Li, Li; Hu, Yujin; Li, Xiaobai; Deng, Weiming
• Is Part Of: Computers & structures. Volume 171(2016)
• Page Start: 31
• Page End: 45
• Publication Date: 2016-07-15
• Subjects: Nonviscous damping -- Multiple damping models -- Time integration -- State-space method -- Dynamic response; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2016.04.002
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: A direct time integration method for nonviscously damped system is proposed. An extended state-space method is developed. A general nonviscously damped model is proposed. The method is applicable to systems involving multiple damping models. Two examples are given to show the accuracy and efficiency of the method. Abstract: Engineering structures are often assembled by subsections with various levels of energy dissipation, which lead to great difficulties in analyzing. In this paper, a direct time integration method is proposed to solve the dynamic responses of structural systems involving multiple nonviscous damping models. Based on a general non-viscously damped model, an extended state-space scheme for the damped system is derived. Then, an implicit time integration method using linear approximations is developed built on the extended state-space formalism. The stability and efficiency of the method are discussed by theoretical and numerical analyses. The method is illustrated by two examples.