Title of article :
A sixth-order compact finite difference method for free vibration analysis of Euler-Bernoulli beams
Author/Authors :
Ansari, R. University of Guilan - Department of Mechanical Engineering, رشت, ايران , Gholami, R. University of Guilan - Department of Mechanical Engineering, رشت, ايران , Hosseini, K. islamic azad university - Department of Mathematics, ايران
Abstract :
This paper presents an efficient method for solving free vibration problems for an Euler-Bernoulli beam under various supporting conditions. The method is based on the implementation of the sixth-order compact finite difference method (CFDM) for discretizing the governing differential equation to obtain the natural frequencies of beam corresponding to two commonly used boundary conditions namely simply supported-simply supported and clamped-free. A very good agreement is found between the natural frequencies obtained using the sixth-order compact finite difference scheme and exact natural frequencies, which confirms the validity of the present sixth-order discretization.
Keywords :
Euler , Bernoulli beam , Free vibration , Sixth , order compact finite difference method , Natural frequencies.
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
