چکیده مقاله
The differential equation of the free vibration of a non uniform Euler–Bernoulli beam is considered The stiffness and mass matrices of the structural system are produced by Differential Quadrature ElementMethod DQEM By solving the eigenvalue problem in determining the natural frequencies of the beam, extensive parametric studies based on the boundary conditions as well as the number of interpolation points are achieved To verify the obtained results and also the rate of convergence of the employedmethod, the traditional Finite Element Method and the Galerkin Method are used The results show the natural frequencies obtained by the DQEM have high accuracy while the CPU runtime decreases noticeably Therefore, utilizing DQEM in the analysis of dynamic problems in non uniform beams seems to be more efficient than the traditional Finite Element Method and the Galerkin Method as well
کلیدواژهها
نویسندگان
Alireza Mohammad Alizadeh
MSc, Civil Eng Dep , University of Science and Culture, Tehran, Iran
Ali Nikkhoo
Assistant Professor, Civil Eng Dep , University of Science and Culture, Tehran, Iran
شیوه ارجاع
Mohammad Alizadeh, Alireza and Nikkhoo, Ali,1391,Free vibration analysis of non-uniform Euler–Bernoulli beams by Differential Quadrature Element Method (DQEM,9th International Congress on Civil Engineering,Isfahan
ارائهشده در
مجموعه مقالات نهمین کنگره بین الملی مهندسی عمران19 اردیبهشت 1391 · اصفهان