Constructing the physical parameters of a damped vibrating system from eigendata
نویسندگان
چکیده
منابع مشابه
Constructing the Physical Parameters of a Damped Vibrating System From Eigendata
In this paper we consider the inverse problem for a discrete damped mass-spring system where the mass, damping, and stiffness matrices are all symmetric tridiagonal. We first show that the model can be constructed from two real eigenvalues and three real eigenvectors or two complex conjugate eigenpairs and a real eigenvector. Then, we study the general under-determined and over-determined probl...
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In this paper we consider an inverse problem for a damped vibration system from the noisy measured eigendata, where the mass, damping, and stiffness matrices are all symmetric positive definite matrices with the mass matrix being diagonal and the damping and stiffness matrices tridiagonal. To take into consideration the noise in the data, the problem is formulated as a convex optimization probl...
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Recent developments and new results associated with Inverse Vibration Problems are reported. The derived methods may be applied to COnStluCt experimental finite element and finite difference models of certain basic vibratory systems from data which is USUdlY available from modal testing. The advantages and limitation of the methods are discussed. A stiffness matrix B mass matrix E matrix in Eq....
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2008
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.08.014