𝔖 Bobbio Scriptorium
✦   LIBER   ✦

INVERSE FINITE ELEMENT VIBRATION PROBLEMS

✍ Scribed by G.M.L. Gladwell

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
135 KB
Volume
221
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The paper concerns the reconstruction of a consistent FEM model of an in-line system of 2-dof elements, fixed at one end and free at the other. Such a system has tridiagonal stiffness and mass matrices, K, M. Because each element has one rigid body mode, K has negative codiagonal and is constrained to have a particular form. M has positive codiagonal. It is shown how to construct (an infinite family of) such models so that each has a specified undamped frequency response at the free end, and how to construct a system with a damper at the free end so that the system has specified (complex) eigenvalues.

📜 SIMILAR VOLUMES

FINITE ELEMENT SOLUTION OF INCOMPRESSIBL
FINITE ELEMENT SOLUTION OF INCOMPRESSIBLE FLUID–STRUCTURE VIBRATION PROBLEMS
✍ ALFREDO BERMÚDEZ; RICARDO DURÁN; RODOLFO RODRÍGUEZ 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 283 KB 👁 2 views

In this paper we solve an eigenvalue problem arising from the computation of the vibrations of a coupled system, incompressible uid -elastic structure, in absence of external forces. We use displacement variables for both the solid and the uid but the uid displacements are written as curls of a stre

A non-iterative finite element method fo
A non-iterative finite element method for inverse heat conduction problems
✍ Xianwu Ling; Russell G. Keanini; H. P. Cherukuri 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB 👁 1 views

## Abstract A non‐iterative, finite element‐based inverse method for estimating surface heat flux histories on thermally conducting bodies is developed. The technique, which accommodates both linear and non‐linear problems, and which sequentially minimizes the least squares error norm between corre

FINITE ELEMENT CONNECTIVITIES FROM VIBRA
FINITE ELEMENT CONNECTIVITIES FROM VIBRATION MEASUREMENTS
✍ J.E. MOTTERSHEAD 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 118 KB

This paper addresses the problem of determining unknown physical connectivities for inclusion in a "nite element model by using standard frequency response measurements. In general, neither the topology nor the sti!ness of such connectivities are known. A method is presented based on two systems of