Green Functions for Axisymmetric Bending and Vibration of Thick Cylindrical Shells-Reference-Cited by-同舟云学术

Green Functions for Axisymmetric Bending and Vibration of Thick Cylindrical Shells

Published:1997-04 Issue:2 Volume:1 Page:143-157
ISSN:1369-4332
Container-title:Advances in Structural Engineering
language:en
Short-container-title:Advances in Structural Engineering

Author:

Wang C.M.¹,Lam K.Y.²,He X.Q.²

Affiliation:

1. Department of Civil Engineering, The National University of Singapore, Kent Ridge, Singapore 119260

2. Department of Mechanical and Production Engineering, The National University of Singapore, Kent Ridge, Singapore 119260

Abstract

It is shown herein that the axisymmetric bending and vibration problems of thick (Mindlin) cylindrical shells are analogous to the corresponding bending and vibration problems of Timoshenko beams resting on Winkler foundation. The Green functions for solving these two analogous problems are derived. Based on these Green functions, exact bending and vibration results may be obtained. The validity of the solutions has been verified via comparison studies with previous researchers' numerical results. Sample exact bending and vibration results are also presented for cylindrical shells in view to provide useful benchmark checks for researchers and engineers working on cylindrical shells and Timoshenko beams on elastic foundation.

Publisher

SAGE Publications

Subject

Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/136943329700100206

Reference18 articles.

1. Dynamic Green's Functions For Levy Plates

2. Green functions for transversely vibrating uniform Euler-Bernoulli beams subject to constant axial preload

3. Stationary response of combined linear dynamic systems to stationary excitation

4. GREEN'S FUNCTION SYNTHESIS FOR SANDWICHED DISTRIBUTED PARAMETER SYSTEMS