𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Mass matrices by minimization of modal errors

✍ Scribed by Per-Anders Hansson; Göran Sandberg


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
274 KB
Volume
40
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


A new approach to constructing mass matrices is presented, based on expressing it through use of a variable parameter. This allows the mass matrix to be adjusted in such a way that a simple eigenvalue problem get the best solution possible in terms of some error measure. This procedure is used to create both diagonal mass matrices and mixed mass matrices. ?


📜 SIMILAR VOLUMES


Estimated mass and stiffness matrices of
✍ Yuan, Ping; Wu, Zhifeng; Ma, Xingrui 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB

A method that estimates mass and stiffness matrices of shear building from modal test data is presented in this paper. The method depends on only measurable points that are less in number than the total structural degrees of freedom, and on the first two orders of structural mode measured. So it is

Minimization of the discretization error
✍ H. Ahmadian; M. I. Friswell; J. E. Mottershead 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB 👁 1 views

This paper is concerned with the formulation of mass and stiffness matrices. In the direct approach one uses assumed shape functions to develop the mass and stiffness terms. Alternatively, we may construct the matrices by using an inverse approach; the terms are assigned so that the difference betwe

Minimization of the Truncation Error by
✍ Nail K. Yamaleev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 335 KB

A new grid adaptation strategy, which minimizes the truncation error of a pth-order finite difference approximation, is proposed. The main idea of the method is based on the observation that the global truncation error associated with discretization on nonuniform meshes can be minimized if the inter

Error Estimates for Interpolation by Com
✍ Holger Wendland 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 255 KB

We consider error estimates for interpolation by a special class of compactly supported radial basis functions. These functions consist of a univariate polynomial within their support and are of minimal degree depending on space dimension and smoothness. Their associated ``native'' Hilbert spaces ar