Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

    On precise time integration method for non-classically damped MDOF systems

    New search for: Wang, Mengfu
    New search for: Zhou, Xiyuan

    Abstract In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom (MDOF) discrete systems can be transferred into a combination of some generalized SDOF complex oscillators. Based on the state space theory, a precise recurrence relationship for these complex oscillators is set up; then a delicate general solution of non-classically damped MDOF systems, completely in real value form, is presented in this paper. In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable. A numerical example is given to demonstrate the validity and efficiency of the proposed method.

    Access

    Check access
    Check availability in my library
    Order at Subito €

    Access

    Check access
    Check availability in my library
    Order at Subito €

    Page navigation

    Document information
    Similar titles

    Export, share and cite

    On precise time integration method for non-classically damped MDOF systems

    New search for: Wang, Mengfu
    New search for: Zhou, Xiyuan

    Abstract In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom (MDOF) discrete systems can be transferred into a combination of some generalized SDOF complex oscillators. Based on the state space theory, a precise recurrence relationship for these complex oscillators is set up; then a delicate general solution of non-classically damped MDOF systems, completely in real value form, is presented in this paper. In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable. A numerical example is given to demonstrate the validity and efficiency of the proposed method.

    Access

    Check access
    Check availability in my library
    Order at Subito €

    On precise time integration method for non-classically damped MDOF systems

    New search for: Wang, Mengfu
    New search for: Zhou, Xiyuan

    Abstract In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom (MDOF) discrete systems can be transferred into a combination of some generalized SDOF complex oscillators. Based on the state space theory, a precise recurrence relationship for these complex oscillators is set up; then a delicate general solution of non-classically damped MDOF systems, completely in real value form, is presented in this paper. In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable. A numerical example is given to demonstrate the validity and efficiency of the proposed method.

    Access

    Check access
    Check availability in my library
    Order at Subito €

    Access

    Check access
    Check availability in my library
    Order at Subito €

    Page navigation

    Document information
    Similar titles

    Export, share and cite

    Document information
    Title:

    On precise time integration method for non-classically damped MDOF systems

    Contributors:

    Wang, Mengfu (author) / Zhou, Xiyuan (author)

    Published in:

    Earthquake Engineering and Engineering Vibration ; 5 ; 79-85

    Publication date:

    2006-06-01

    Size:

    7 pages

    ISSN:

    1671-3664

    DOI:

    https://doi.org/10.1007/s11803-006-0613-2

    Type of media:

    Article (Journal)

    Type of material:

    Electronic Resource

    Language:

    English

    Keywords:

    non-classically damped systems , motion equation , generalized SDOF complex oscillator , state space theory , unconditionally stable algorithm Engineering , Vibration, Dynamical Systems, Control

    Similar titles

    On precise time integration method for non-classically damped MDOF systems

    Wang, Mengfu / Zhou, Xiyuan | Online Contents | 2006

    Approximate Random Vibration Analysis of Classically Damped MDOF Systems

    Papadimitriou, C. | Online Contents | 1994

    Nonstationary Earthquake Response Analysis of Linear Classically and Non-Classically Damped MDOF Structures

    Conte, J. P. / Peng, B.-F. / International Federation for Information Processing; Technical Committee 7; Working Group 7.5 | British Library Conference Proceedings | 1997

    COMPLEX MODE SUPERPOSITION ALGORITHM FOR SEISMIC RESPONSES OF NON-CLASSICALLY DAMPED LINEAR MDOF SYSTEM

    Zhou, Xi-Yuan | Online Contents | 2004

    Time Delayed Control of Classically Damped Structures

    Kumar, R. / Udwadia, F. E. / American Society of Civil Engineers; Engineering Mechanics Division et al. | British Library Conference Proceedings | 1996

    Back to top