On advantages of derivation of exact dynamical stiffness matrices from boundary integral equations
Author:
- 1 August 2010
- journal article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 128 (2) , 551-554
Abstract
Dynamical stiffness matrices are broadly used for solving problems in wave propagation in elastic structures. For elastic waveguides that support both propagating and evanescent waves, the standard use of transfer matrices to obtain their dynamical stiffness matrix may cause problems in computations. In this letter to the editor, an advanced way to derive dynamical stiffness matrices is proposed and exemplified in the classical Bernoulli-Euler beam theory.Keywords
This publication has 6 references indexed in Scilit:
- Green's matrix and the boundary integral equation method for the analysis of vibration and energy flow in cylindrical shells with and without internal fluid loadingJournal of Sound and Vibration, 2003
- Analysis and optimization of energy flows in structures composed of beam elements – Part I: problem formulation and solution techniqueStructural and Multidisciplinary Optimization, 2001
- The Spectral Element Method in Structural DynamicsThe Shock and Vibration Digest, 2000
- VIBRATIONS OF SANDWICH PLATES WITH CONCENTRATED MASSES AND SPRING-LIKE INCLUSIONSJournal of Sound and Vibration, 2000
- Dynamic stiffness formulation for structural elements: A general approachComputers & Structures, 1997
- Wave Propagation in Structures1989