The direct problem of free vibration analysis via finite-element formulation is well known: the element mass and stiffness matrices are assembled to form the system mass and stiffness matrices; the problem is reduced to standard eigenvalue form; the eigenvalues and eigenvectors are found. The paper discusses some inverse problems relating to finite-element formulations for simple chain-like structures. How can the element mass and stiffness matrices be reconstructed from the overall matrices? How can the overall mass and stiffness matrices be recontructed from the overall dynamic stiffness matrix? How can we find a family of systems having the same eigenvalues?
展开▼
