Coupled vibration and natural frequency analysis of isotropic cylinders or disks of finite dimensions

✍ Scribed by S.-Y. Lin

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 348 KB
• Volume: 185
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0374

✦ Synopsis

An analytical method is presented for studying the axisymmetric coupled vibration of isotropic cylinders and disks. When a mechanical coupling coefficient is introduced, the coupled vibration of the cylinder and disk is divided into two equivalent one-dimensional vibrations: one is the axial vibration and the other is the radial vibration and these two vibrations are coupled to each other by the mechanical coupling coefficient. The frequency equation is derived and the axial and radial natural frequencies are computed. The analysis shows that some decoupled vibration modes, such as the longitudinal vibration of slender rods and the radial vibration of thin disks, can be derived directly from the theory. Compared with the results of one-dimensional theory, the natural frequencies obtained by this method are in better agreement with the measured results.