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

DOI10.1016/j.camwa.2018.09.046zbMath1442.74082OpenAlexW2897890298MaRDI QIDQ2203742

Haichao Li, Fuzhen Pang, Xuhong Miao, Yuhui Li

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.046

zbMATH Keywords

penalty methodfree vibrationmulti-segment partitioning strategya semi analytical methoduniform and stepped circular cylindrical

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25)

Related Items (9)

Theoretical and experimental studies of effects of non-axisymmetric inner structures on vibration signatures of axisymmetric submarine hulls ⋮ A study of a nonlinear vibration isolator supported on an imperfect boundary plate ⋮ A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates ⋮ On the shell model for human eye in Glaucoma disease ⋮ Characteristic orthogonal polynomials-Ritz method for vibration behavior of functionally graded piezoelectric plates using FSDT ⋮ Free in-plane vibrations of orthotropic rectangular plates by using an accurate solution ⋮ Wave-based method for free vibration analysis of orthotropic cylindrical shells with arbitrary boundary conditions ⋮ Vibration analysis of closed laminate conical, cylindrical shells and annular plates using meshfree method ⋮ Influence of the boundary relaxation on free vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections

Cites Work

• Free vibration analysis of cylindrical shells partially resting on an elastic foundation
• A review of operational matrices and spectral techniques for fractional calculus
• Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution
• Application of the differential quadrature finite element method to free vibration of elastically restrained plate with irregular geometries
• Static and free vibration analysis of sandwich cylindrical shell based on theory of elasticity and using DQM
• A semi analytical method for the free vibration of doubly-curved shells of revolution
• The modified Fourier-Ritz approach for the free vibration of functionally graded cylindrical, conical, spherical panels and shells of revolution with general boundary condition
• Benchmark solution for free vibration of thick open cylindrical shells on Pasternak foundation with general boundary conditions
• A semi-analytical method for transverse vibration of sector-like thin plate with simply supported radial edges
• Free vibration of cantilever circular cylindrical shells with variable thickness
• Application of Vectorial Wave Method in Free Vibration Analysis of Cylindrical Shells

This page was built for publication: Jacobi-Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: a unified formulation