3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method

摘要: A general approach is presented for solving the free vibration of solid and hollow circular cylinders. The analysis procedure based on small-strain, linear exact elasticity theory. By taking Chebyshev polynomial series multiplied by a boundary function to satisfy geometric conditions as admissible functions, Ritz method applied derive frequency equation cylinder. According axisymmetric geometrical property cylinder, modes are divided into three distinct categories: vibration, torsional circumferential vibration. Moreover, cylinder with same at two ends, can be further antisymmetric symmetric ones in length direction. Convergence comparison studies demonstrate high accuracy small computational cost present method. significant advantage over other solutions that guarantee stable numerical operation even when large number terms functions used. Not only lower-order but also higher-order frequencies obtained using few polynomials. Finally, first several cylinders different conditions, respect various parameters such length–radius ratio inside–outside radius ratio, given. 2003 Elsevier Science B.V. All rights reserved.