The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells
The plane strain solution is obtained for the natural vibrations and impulse response of a thin circular cylinder containing an added line mass. The solution for a uniform cylinder is derived by taking the added mass to be zero. Numerical calculations of the frequencies and mode shapes for several o...
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ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-778102020-09-29T05:38:52Z The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells Palmer, Edward Wilkerson Engineering Mechanics LD5655.V856 1970.P32 Shells (Engineering) The plane strain solution is obtained for the natural vibrations and impulse response of a thin circular cylinder containing an added line mass. The solution for a uniform cylinder is derived by taking the added mass to be zero. Numerical calculations of the frequencies and mode shapes for several of the lower modes are presented in graphical form for various values of the added mass. The general impulse response solution for arbitrary initial conditions is obtained by normal mode theory. For both the natural vibrations and impulse response, the theory is found to be in reasonable agreement with available experimental results. In a particular mode, four distinct solution states are found to exist: a symmetrical and anti-symmetrical branch for each class of vibration, flexural and extensional. Noteworthy features revealed by this investigation are the difference in frequency and mode shape of each solution state and the presence of coupling between the flexural and extensional classes, particularly noticeable in the extensional class mode shapes. In comparing impulse response solutions for velocity with and without the added mass, the major influence of the added mass is found to be an increased participation of the flexural class modes, including the rigid body translation, and decreased participation of the extensional class oscillatory modes. Ph. D. 2017-05-24T18:19:29Z 2017-05-24T18:19:29Z 1970 Dissertation Text http://hdl.handle.net/10919/77810 en_US OCLC# 22440810 In Copyright http://rightsstatements.org/vocab/InC/1.0/ xi, 68 leaves application/pdf application/pdf Virginia Polytechnic Institute and State University |
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LD5655.V856 1970.P32 Shells (Engineering) |
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LD5655.V856 1970.P32 Shells (Engineering) Palmer, Edward Wilkerson The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
description |
The plane strain solution is obtained for the natural vibrations and impulse response of a thin circular cylinder containing an added line mass. The solution for a uniform cylinder is derived by taking the added mass to be zero. Numerical calculations of the frequencies and mode shapes for several of the lower modes are presented in graphical form for various values of the added mass. The general impulse response solution for arbitrary initial conditions is obtained by normal mode theory. For both the natural vibrations and impulse response, the theory is found to be in reasonable agreement with available experimental results.
In a particular mode, four distinct solution states are found to exist: a symmetrical and anti-symmetrical branch for each class of vibration, flexural and extensional. Noteworthy features revealed by this investigation are the difference in frequency and mode shape of each solution state and the presence of coupling between the flexural and extensional classes, particularly noticeable in the extensional class mode shapes. In comparing impulse response solutions for velocity with and without the added mass, the major influence of the added mass is found to be an increased participation of the flexural class modes, including the rigid body translation, and decreased participation of the extensional class oscillatory modes. === Ph. D. |
author2 |
Engineering Mechanics |
author_facet |
Engineering Mechanics Palmer, Edward Wilkerson |
author |
Palmer, Edward Wilkerson |
author_sort |
Palmer, Edward Wilkerson |
title |
The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
title_short |
The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
title_full |
The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
title_fullStr |
The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
title_full_unstemmed |
The influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
title_sort |
influence of added mass on the natural vibrations and impulse response of long, thin cylindrical shells |
publisher |
Virginia Polytechnic Institute and State University |
publishDate |
2017 |
url |
http://hdl.handle.net/10919/77810 |
work_keys_str_mv |
AT palmeredwardwilkerson theinfluenceofaddedmassonthenaturalvibrationsandimpulseresponseoflongthincylindricalshells AT palmeredwardwilkerson influenceofaddedmassonthenaturalvibrationsandimpulseresponseoflongthincylindricalshells |
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1719344678427426816 |