Modeling and control in vibrational and structural dynamics : a differential geometric approach / Peng-Fei Yao.

Format:

Book

Author/Creator:

Yao, Peng-Fei.

Series:

Chapman & Hall/CRC applied mathematics and nonlinear science series.

Chapman & Hall/CRC applied mathematics and nonlinear science series

Language:

English

Subjects (All):

Vibration--Mathematical models.

Vibration.

Structural dynamics--Mathematical models.

Structural dynamics.

Physical Description:

1 online resource (418 p.)

Edition:

1st edition

Place of Publication:

Boca Raton, FL : CRC Press, c2011.

Language Note:

English

System Details:

text file

Summary:

Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates), when the PDEs themselves are defined on curved surfaces (shells), and when the systems have quasilinear principal parts.To make the book self-contained, the author starts with the necessary background on Riemannian geometry. He then describes differ

Contents:

Front Cover; Dedication; Contents; List of Symbols; Preface; 1. Preliminaries from Differential Geometry; 2. Control of the Wave Equation with Variable Coefficients in Space; 3. Control of the Plate with Variable Coefficients in Space; 4. Linear Shallow Shells. Modeling, and Control; 5. Naghdi's Shells. Modeling and Control; 6. Koiter's Shells. Modeling and Controllability; 7. Control of the Quasilinear Wave Equation in Higher Dimensions; Bibliography

Notes:

A Chapman & Hall book.

Includes bibliographical references.

ISBN:

9786613311597

9781040055168

1040055168

9780429094644

0429094647

9781283311595

1283311593

9781439834572

1439834571

OCLC:

746101745