Jacobi–Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: A unified formulation

• Published in: Computers & mathematics with applications (1987) Vol. 77; no. 2; pp. 427 - 440
• Main Authors: Li, Haichao, Pang, Fuzhen, Miao, Xuhong, Li, Yuhui
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.01.2019; Elsevier BV
• Subjects: A semi analytical method; Boundary conditions; Circularity; Convergence; Cylindrical shells; Fourier series; Free vibration; Functions (mathematics); Mathematical models; Multi-segment partitioning strategy; Parameters; Penalty method; Polynomials; Ritz method; Shell theory; Shells; Thin walled shells; Uniform and stepped circular cylindrical; Vibration analysis; A semi analytical method; Free vibration; Multi-segment partitioning strategy; Penalty method; Uniform and stepped circular cylindrical

A semi analytical approach is employed to analyze free vibration characteristics of uniform and stepped circular cylindrical shells subject to arbitrary boundary conditions. The analytical model is established on the basis of multi-segment partitioning strategy and Flügge thin shell theory. The admi...