A VIBRATION ANALYSIS OF A CYLINDER WITH SLITS
The free vibrations of an elastic cylinder with open slits are analyzed with the Rayleigh-Ritz method.The analytical procedure is based on the formulation in cylindrical coordinates with the three-dimensional linear elasticity.For the formulation and calculation of kinetic and strain energies,the cylinder is divided into upper and lower parts with the depth of the slit.Using the Rayleigh-Ritz method,the eigenvalue equation is obtained for the two parts with different displacements in Chebyshev polynomials.Utilizing the displacement continuity conditions at the interface between,the eigenvalue equations for the cylinder is obtained.A convergence check and comparison with the FEM results demonstrate the validity and accuracy of the present method.
Vibration Analysis Rayleigh-Ritz Method Cylinder
Sheng-quan ZHAO Zeng-wen WU De-jin HUANG Li-jun YI Jian-ke DU Ji WANG
Piezoelectric Device Lab, School of Mech Eng and Mechanics, Ningbo University, Ningbo, Zhejiang 315211, CHINA
国际会议
石家庄
英文
450-454
2019-11-01（万方平台首次上网日期，不代表论文的发表时间）