Nonlinear Vibration Analysis of Shallow Shells - A New Approach

Murali Banerjee

ISBN 10: 3659110930 / ISBN 13: 9783659110931

Published by LAP LAMBERT Academic Publishing Mär 2014, 2014

About this Item

Neuware -The application of constant deflection contour method is justified in this book and appears to be simpler than existing methods.The present method offers a new approach to deal with problems involving large amplitude vibrations of plates and shallow shells. The significance of this method lies in the fact that the basic governing equations reduce to a set of ordinary differential equations. The present method can be applied to study static as well as dynamic behavior of plates and shells having arbitrary shaped boundaries for which other methods may fail. The present method relies heavily with the assumed form of the contour close to the correct equation. However, in most practical cases of interest they are defined. The application of polynomial expressions for the deflection and the stress functions in conjunction with the Galerkin procedure appears to produce excellent results in all cases, sometimes better than those obtained from other methods. The use of Conformal mapping technique has also been introduced in this book for analyzing the nonlinear response of complex structures.It may become a simple tool for future researchers to use this method for further analysesBooks on Demand GmbH, Überseering 33, 22297 Hamburg 76 pp. Englisch.

Seller Inventory # 9783659110931

Bibliographic Details

• Title: Nonlinear Vibration Analysis of Shallow Shells - A New Approach
• Publisher: LAP LAMBERT Academic Publishing Mär 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3659110930
• ISBN 13: 9783659110931
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 131 grams

About this title

Synopsis

The application of constant deflection contour method is justified in this book and appears to be simpler than existing methods.The present method offers a new approach to deal with problems involving large amplitude vibrations of plates and shallow shells. The significance of this method lies in the fact that the basic governing equations reduce to a set of ordinary differential equations. The present method can be applied to study static as well as dynamic behavior of plates and shells having arbitrary shaped boundaries for which other methods may fail. The present method relies heavily with the assumed form of the contour close to the correct equation. However, in most practical cases of interest they are defined. The application of polynomial expressions for the deflection and the stress functions in conjunction with the Galerkin procedure appears to produce excellent results in all cases, sometimes better than those obtained from other methods. The use of Conformal mapping technique has also been introduced in this book for analyzing the nonlinear response of complex structures.It may become a simple tool for future researchers to use this method for further analyses

About the Author

Author : Murali Mohan Banerjee : M.Sc. Applied Maths., Ph.D.(Sc.), Ex Head,Department of Mathematics, A.C. College, Jalpaiguri, INDIA Founder Member:ICOVP (Intl. Conf. on Vibration Problems) Area of Research: Nonlinear Vibration Analysis of Thin Elastic/Elastic-Plastic Plates and Shells. http://mmbanerjee.blogspot.com