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Derivatives of eigenvalues and eigenvectors
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This article is published in AIAA Journal.The article was published on 1970-05-01. It has received 189 citations till now. The article focuses on the topics: Matrix differential equation & Defective matrix.read more
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Structural Dynamic Analysis with Generalized Damping Models: Analysis
TL;DR: In the majority of practical cases this approach is adopted more for mathematical convenience than for modeling the physics of vibration damping as mentioned in this paper, and it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering.
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Natural Modes of Modified Structures
John Baldwin,Stanley G. Hutton +1 more
TL;DR: In this article, the authors defined a matrix of admixture coefficients for mode shape changes, which is used to measure the magnitude of local stiffness modification between baseline and modified structures and the natural frequency of modified structure.
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Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems
C. Cardani,Paolo Mantegazza +1 more
TL;DR: A single procedure is presented for the determination of eigenvalue and eigenvector derivatives of general eigensystems, including those arising in flutter and divergence analysis, which unifies the determination a solution and of its derivatives in one single approach.
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Finite element model updating using antiresonant frequencies
TL;DR: In this paper, the antiresonant frequencies were used in the finite element model updating of an experimental 6-m aluminum truss and analyzed the physical correctness of the updated model by using it to detect damage.
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Calculation of derivative of complex modes using classical normal modes
TL;DR: In this paper, a method to calculate derivatives of eigenvectors of damped discrete linear dynamic system with respect to the system parameter is presented, which avoids using the state-space approach.
References
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Journal ArticleDOI
Rates of change of eigenvalues and eigenvectors.
R. L. Fox,M. P. Kapoor +1 more
TL;DR: Exact expressions for rates of change of eigenvalues and eigenvector to facilitate computerized design of complex structures are presented.
Journal ArticleDOI
Dynamics of a dissociating gas Part I Equilibrium flow
TL;DR: In this paper, the effects of atmospheric dissociation on the airflow, and hence on the drag, stability and aerodynamic heating of such projectiles, are investigated. But this paper is intended mainly as a source of ideas for later, more comprehensive investigations.
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Coordinates which uncouple the equations of motion of damped linear dynamic systems
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Higher approximations in boundary-layer theory Part 1. General analysis
TL;DR: In this paper, the boundary-layer theory is embedded as the first step in a systematic scheme of successive approximations for finding an asymptotic solution for viscous flow at large Reynolds number.
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Rates of Change of Eigenvalues, With Reference to Buckling and Vibration Problems
TL;DR: In this article, the relationship between the eigenvalue and one or more of the basic parameters of the physical system has been investigated in the fields of buckling and vibration. But the problem of finding the relation between the two types of load at buckling has not been addressed.