A state-of-the-art review on theory and engineering applications of eigenvalue and eigenvector derivatives

RM Lin, JE Mottershead, TY Ng - Mechanical Systems and Signal …, 2020 - Elsevier
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 …

[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 …

Design sensitivity analysis of structures with viscoelastic dampers

R Lewandowski, M Łasecka-Plura - Computers & Structures, 2016 - Elsevier
In paper the design sensitivity analysis of dynamic characteristics of structures with
viscoelastic (VE) dampers is considered. The dampers are modeled using the classical …

Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule

T Phuor, GH Yoon - International Journal for Numerical …, 2023 - Wiley Online Library
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 …

Design sensitivity and Hessian matrix of generalized eigenproblems

L Li, Y Hu, X Wang - Mechanical Systems and Signal Processing, 2014 - Elsevier
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 …

A stochastic scaled boundary finite element method

XY Long, C Jiang, C Yang, X Han, W Gao… - Computer Methods in …, 2016 - Elsevier
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 …

Substructuring approach to the calculation of higher-order eigensensitivity

S Weng, HP Zhu, Y **a, XQ Zhou, L Mao - Computers & Structures, 2013 - Elsevier
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 …

Design sensitivity analysis for transient response of non-viscously damped systems based on direct differentiate method

Z Ding, L Li, G Zou, J Kong - Mechanical Systems and Signal Processing, 2019 - Elsevier
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 …

Numerical methods for evaluating the sensitivity of element modal strain energy

L Li, Y Hu, X Wang - Finite Elements in Analysis and Design, 2013 - Elsevier
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 …

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 …