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A consideration of transverse vibration of a bar rotating on three supports moving with constant velocity along the axis. The solution of the equation of vibration is obtained by finding the eigenvalues and the eigenfunctions. As a result of analysis of the equation of vibration, an equation is obta...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1959-06-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2953 |
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| Summary: | A consideration of transverse vibration of a bar rotating on three supports moving with constant velocity along the axis. The solution of the equation of vibration is obtained by finding the eigenvalues and the eigenfunctions. As a result of analysis of the equation of vibration, an equation is obtained for critical velocities depending on the velocity of support displacement. From this equation it follows that with a moving intermediate support the critical velocities are less than the critical velocities of a rotating bar on two supports.
The method described may be generalized to any number of supports of which the two extreme ones are immobile.
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| ISSN: | 0867-888X 2450-8071 |