A new state-space method for exponentially damped linear systems. (February 2019)

• Record Type: Journal Article
• Authors: Wu, Xinhai; He, Huan; Chen, Guoping
• Is Part Of: Computers & structures. Volume 212(2019)
• Page Start: 137
• Page End: 144
• Publication Date: 2019-02
• Subjects: State-space method -- Exponential damping model -- Eigensolution -- Frequency response function -- Dynamic response; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2018.10.004
• Languages: English
• ISSNs: 0045-7949

Abstract

Abstract: A new state-space method is presented in this paper for linear systems with multiple exponential damping models. By introducing displacement vector and its derivatives as state variables, the original second-order differential equations involving convolution integrals are transformed into a state-space formulism. The iterative relationships are given to calculate all the coefficient matrices, loading vectors and initial conditions. Based on the extended state-space formulism, the eigensolutions, frequency response functions and dynamic responses can be calculated easily using mature techniques for first-order linear systems. Besides, a direct integration method for time-domain analysis based on the proposed stated-space formulism is presented. Two numerical examples are used to illustrate the proposed approach.