论文信息 - Quadratic eigenvalue problems.

Quadratic eigenvalue problems.

In this report we will describe some nonlinear eigenvalue problems that arise in the areas of solid mechanics, acoustics, and coupled structural acoustics. We will focus mostly on quadratic eigenvalue problems, which are a special case of nonlinear eigenvalue problems. Algorithms for solving the quadratic eigenvalue problem will be presented, along with some example calculations.

D. Day | Timothy Walsh | David M. Day | T. Walsh

[1] Karl Meerbergen,et al. The Quadratic Eigenvalue Problem , 2001, SIAM Rev..

[2] J. Barger,et al. Elements of acoustics , 1998 .

[3] Larry C. Andrews,et al. Integral transforms for engineers , 1999 .

[4] L. Meirovitch. Principles and techniques of vibrations , 1996 .

[5] Daniel J. Inman,et al. Using state observers to model viscoelastic effects , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[6] Carlos A. Felippa. Symmetrization of coupled eigenproblems by eigenvector augmentation , 1988 .

[7] G. C. Everstine. Prediction of Low Frequency Vibrational Frequencies of Submerged Structures , 1991 .

[8] G. C. Everstine. Finite element formulatons of structural acoustics problems , 1997 .

[9] Frann Coise Tisseur. Backward Error and Condition of Polynomial Eigenvalue Problems , 1999 .

[10] C. Felippa,et al. MIXED VARIATIONAL FORMULATION OF FINITE ELEMENT ANALYSIS OF ACOUSTOELASTIC/SLOSH FLUID-STRUCTURE INTERACTION , 1990 .

[11] C. DeWitt-Morette,et al. Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .

[12] J. Eisenfeld. Quadratic eigenvalue problems , 1968 .