✦ LIBER ✦

THE PROBLEM OF VIBRATION FIELD RECONSTRUCTION: STATEMENT AND GENERAL PROPERTIES

✍ Scribed by Yu.I. BOBROVNITSKII

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 334 KB
Volume: 247
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.3719

No coin nor oath required. For personal study only.

✦ Synopsis

The paper addresses the problem of reconstructing the vibration "eld of a structure or the acoustic "eld of a bounded #uid from limited data. The problem relates to practical situations when there is a need to know the dynamic stress and displacement distribution over the entire structure, e.g., for estimating its remaining service life, but the vibration may be measured only on accessible parts of the structure surface. In the paper, this problem is mathematically formulated and its general properties*solvability, uniqueness, and continuity are studied. Most attention is paid to the analysis of the error of reconstruction. One of the main results obtained is the proof of existence of the optimal vibration model of the structure,which renders minimum to the reconstruction error. The application of the results to discrete systems is discussed.

📜 SIMILAR VOLUMES

Generic behavior of the density of state

Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields

✍ A. B. J. Kuijlaars; K. T-R McLaughlin 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB 👁 2 views

The equilibrium measure in the presence of an external field plays a role in a number of areas in analysis, for example, in random matrix theory: The limiting mean density of eigenvalues is precisely the density of the equilibrium measure. Typical behavior for the equilibrium measure is: 1. it is p

High Accuracy Step-By-Step Perturbation

High Accuracy Step-By-Step Perturbation Method of the Generalized Eigenvalue Problem and Its Application to the Parametric History Analysis of Structural Vibration Characteristics

✍ Z.H. Lü; C. Shao; Z.D. Feng 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 330 KB

SEMI-ANALYTICAL APPROACH TO THE NON-LINE

SEMI-ANALYTICAL APPROACH TO THE NON-LINEAR DYNAMIC RESPONSE PROBLEM OF S–S AND C–C BEAMS AT LARGE VIBRATION AMPLITUDES PART I: GENERAL THEORY AND APPLICATION TO THE SINGLE MODE APPROACH TO FREE AND FORCED VIBRATION ANALYSIS

✍ L. Azrar; R Benamar; R.G. White 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 195 KB

In a previous series of papers [1][2][3], a general model based on Hamilton's

Anharmonic contributions to vibrational

Anharmonic contributions to vibrational thermodynamics properties of solids. I. General formulation and application to the linear chain: A. A. Maradudin, P. A. Flinn, and R. A. Coldwell-Horsfall

📂 Article 📅 1961 🏛 Elsevier Science 🌐 English ⚖ 70 KB

Properties of a generalized pseudospin s

Properties of a generalized pseudospin system: Application of the time dependent mean field method to an SU(4) invariant Hamiltonian: O. S. van Roosmalen and A. E. L. Dieperink. Kernfysisch Versneller Instituut, Rijksuniversiteit Groningen, The Netherlands

📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 75 KB

Dispersion relations and sum rules are derived for the complex rotatory power of an arbitrary linear (nonmagnetic) isotropic medium showing natural optical activity. Both previously known dispersion relations and sum rules as well as new ones are obtained. It is shown that the Rosenfeld-Condon dispe