A sensitivity-based approach to solving the inverse eigenvalue problem for linear structures carrying lumped attachments

DOI10.1002/NME.6147zbMATH Open1548.74229MaRDI QIDQ6549930

Philip D. Cha, Charles B. Dawson

Publication date: 4 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

inverse problemstructural dynamicsstructural designeigenvalue sensitivity

Mathematics Subject Classification ID

Inverse problems in equilibrium solid mechanics (74G75)

Cites Work

• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• A structured approach to solve the inverse eigenvalue problem for a beam with added mass
• Numerical methods for solving linear least squares problems
• Numerical evaluation of high-order modes of vibration in uniform Euler–Bernoulli beams
• A general approach to formulating the frequency equation for a beam carrying miscellaneous attachments
• Structured inverse eigenvalue problems
• Inverse Problems in Vibration
• On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
• On Some General Properties of Combined Dynamical Systems
• Inverse eigenvalue problem in structural design
• Numerical Analysis

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