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THE EQUILIBRIUM OF A THIN COMPRESSIBLE MEMBRANE WITH APPLICATION TO THE PERIODONTAL MEMBRANE |
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Canadian Journal of Research,
Volume 17a,
Issue 7,
1939,
Page 123-140
G. E. Hay,
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摘要:
The equilibrium of a thin compressible elastic membrane has been considered. In the present work the theory developed in that paper (3) is applied to the periodontal membrane which lies between the tooth and the jaw-bone.For simplicity, a tooth is considered of which the root is a right circular cone, the thickness of the membrane being assumed constant. A load is applied to the tooth in a plane containing the axis of the root and a determination is made of the resulting stress in the membrane and displacement of the tooth.It is also found that the periodontal membrane holds the tooth in place in a way different from that commonly accepted by dentists.
ISSN:1923-4287
DOI:10.1139/cjr39a-011
出版商:NRC Research Press
年代:1939
数据来源: NRC
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2. |
THE RESONANT RADIAL FREQUENCIES OF A CYLINDER OF ANY WALL THICKNESS |
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Canadian Journal of Research,
Volume 17a,
Issue 7,
1939,
Page 141-147
G. S. Field,
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PDF (346KB)
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摘要:
Equations have been derived for the resonance radial frequencies of a cylinder of any wall thickness. For the degenerate case of the internal radius equal to zero, the equations are shown to reduce to those previously given for a solid rod. For a cylinder with a very thin wall, the frequency equation becomes very simple, but contains an additional factor compared with the equation usually given for a thin-walled cylinder. It is suggested that the two cases correspond to slightly different types of vibration, and that the one considered in this paper is physically more likely.
ISSN:1923-4287
DOI:10.1139/cjr39a-012
出版商:NRC Research Press
年代:1939
数据来源: NRC
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