Second-Order Design Sensitivities to Assess the Applicability of Sensitivity Analysis

A quality criterion, based on the Cauchy ratio test for convergence of infinite series, is suggested to examine the liability of systems to perform poorly under extrapolation.

[1]  Jocelyn I. Pritchard,et al.  Sensitivity derivatives and optimization of nodal point locations for vibration reduction , 1987 .

[2]  Raphael T. Haftka,et al.  Survey of methods for calculating sensitivity of general eigenproblems , 1987 .

[3]  A. Flax.  Comment on "Derivation and Significance of Second-Order Modal Design Sensitivities" , 1985 .

[4]  J. Brandon.  Reply by Author to A. H. Flax , 1985 .

[5]  J. A. Brandon,et al.  Derivation and significance of second-order modal design sensitivities , 1984 .

[6]  R. Bishop,et al.  The Matrix Analysis of Vibration , 1979 .

[7]  Richard B. Nelson,et al.  Simplified calculation of eigenvector derivatives , 1976 .

[8]  R. H. Plaut,et al.  Alternative formulations for discrete gyroscopic eigenvalue problems , 1976 .

[9]  J. O. Hallquist,et al.  An efficient method for determining the effects of mass modifications in damped systems , 1976 .

[10]  Subhash Garg,et al.  Derivatives of Eigensolutions for a General Matrix , 1973 .

[11]  Raymond H. Plaut,et al.  Derivatives of eigenvalues and eigenvectors in non-self-adjoint systems. , 1973 .

[12]  Virgil W. Snyder,et al.  Local Modifications of Damped Linear Systems , 1971 .

[13]  L. C. Rogers.  Derivatives of eigenvalues and eigenvectors , 1970 .

[14]  R. Fox,et al.  Rates of change of eigenvalues and eigenvectors. , 1968 .

[15]  John A. Brandon,et al.  Strategies for structural dynamic modification , 1990 .

[16]  A. R. Collar,et al.  Matrices and Engineering Dynamics , 1987 .

[17]  H. Ikawa,et al.  Reply by Author to , 1978 .

[18]  V. W. Snyder,et al.  The effect of local modifications on the eigenvalues and eigenvectors of damped linear systems , 1971 .