A state-of-the-art review on theory and engineering applications of eigenvalue and eigenvector derivatives
Eigenvalue and eigenvector derivatives with respect to system design variables and their
applications have been and continue to be one of the core issues in the design, control and …
applications have been and continue to be one of the core issues in the design, control and …
[ΒΙΒΛΙΟ][B] Structural dynamic analysis with generalized dam** models: analysis
S Adhikari - 2013 - books.google.com
Since Lord Rayleigh introduced the idea of viscous dam** in his classic work" The Theory
of Sound" in 1877, it has become standard practice to use this approach in dynamics …
of Sound" in 1877, it has become standard practice to use this approach in dynamics …
Design sensitivity analysis of structures with viscoelastic dampers
In paper the design sensitivity analysis of dynamic characteristics of structures with
viscoelastic (VE) dampers is considered. The dampers are modeled using the classical …
viscoelastic (VE) dampers is considered. The dampers are modeled using the classical …
Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule
In this paper, a novel algorithm for computing the derivatives of eigensolutions of asymmetric
damped systems with distinct and repeated eigenvalues is developed without using second …
damped systems with distinct and repeated eigenvalues is developed without using second …
Design sensitivity and Hessian matrix of generalized eigenproblems
A generalized eigenproblem is formed and its normalizations are presented and discussed.
Then a unified consideration of the computation of the sensitivity and Hessian matrix is …
Then a unified consideration of the computation of the sensitivity and Hessian matrix is …
A stochastic scaled boundary finite element method
By extending the existing scaled boundary finite element method (SBFEM) into the random
field problem, a stochastic scaled boundary finite element method (SSBFEM) is developed …
field problem, a stochastic scaled boundary finite element method (SSBFEM) is developed …
Substructuring approach to the calculation of higher-order eigensensitivity
Calculation of eigensensitivity is usually time-consuming for a large-scale structure. This
paper develops a substructuring method for computing the first, second and high order …
paper develops a substructuring method for computing the first, second and high order …
Design sensitivity analysis for transient response of non-viscously damped systems based on direct differentiate method
Calculation of the first and second derivatives of transient response with respect to design
variables is a prerequisite when gradient-based methods are adopted for optimization …
variables is a prerequisite when gradient-based methods are adopted for optimization …
Numerical methods for evaluating the sensitivity of element modal strain energy
Various methods for the calculation of the sensitivity of element modal strain energy (MSE)
are surveyed and classified as the finite difference method, the indirect method and the …
are surveyed and classified as the finite difference method, the indirect method and the …
An efficient method for computing eigenpair sensitivity of asymmetric damped systems with repeated eigenvalues
Z Li, SK Lai, B Wu - Mechanical Systems and Signal Processing, 2025 - Elsevier
This paper presents a new algorithm for computing the sensitivity of eigenpairs in
asymmetric damped systems with repeated eigenvalues. The derivatives of eigenvectors in …
asymmetric damped systems with repeated eigenvalues. The derivatives of eigenvectors in …