Efficient solution of quadratic eigenproblems arising in dynamic analysis of structures

DOI10.1016/0045-7825(77)90048-2zbMath0368.65021OpenAlexW1985492153MaRDI QIDQ1242654

Marco Borri, Paolo Mantegazza

Publication date: 1977

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(77)90048-2

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items

Lanczos algorithm for the quadratic eigenvalue problem in engineering applications, The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems, Unnamed Item, A modified modal analysis method for damped multi‐degree‐of‐freedom‐systems in structural mechanics, Numerical solutions for large sparse quadratic eigenvalue problems, A reformulated Arnoldi algorithm for non-classically damped eigenvalue problems, A global Jacobi method for a symmetric indefinite problem Sx=lambdaTx, Backward error and condition of polynomial eigenvalue problems, A modified second-order Arnoldi method for solving the quadratic eigenvalue problems, Use of indefinite pencils for computing damped natural modes, Eigensolution of nonclassically damped structures by complex subspace iteration, Anti-triangular and anti-\(m\)-Hessenberg forms for Hermitian matrices and pencils, The dynamic stiffness matrix of the finite annular plate element

Uses Software

• NASTRAN

Cites Work

• Vibration modes of large structures by an automatic matrix-reductionmethod
• Application of the simultaneous iteration method to undamped vibration problems
• Solution methods for eigenvalue problems in structural mechanics
• Solution of quadratic matrix equations for free vibration analysis of structures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item