The mass-normalized stiffness matrix of the star spring-mass system is an arrowhead matrix. Given two eigenpairs of the arrowhead matrix. It is assumed that the total mass of a star spring-mass system is known. The problem of constructing the physical elements of the system from the known data is considered. The necessary and sufficient conditions for the construction of a physical realizable system with positive mass and spring stiffness are established. If these conditions are satisfied, the system may be constructed uniquely.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    An Inverse Eigenvalue Problem for Star Spring-Mass System


    Contributors:
    Tian, Xia (author) / Li, Chuan-Xiao (author)


    Publication date :

    2012


    Size :

    4 Seiten




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English