Frekuensi Getar Alami Balok Kantilever Timoshenko

Abstract

. Exact solution for dynamic system with distributed mass in elastic state is commonly analyzed by Euler-Bernoulli theory, that is ‘plane cross sections perpendicular to the axis of the beam remains plane and perpendicular to the axis after deformation [Wang, 1995]. Due to effect of transverse shear deformation, the plane cross sections remain plane but not necessarily normal to the longitudinal axis after deformation. This effect may have significant influence on the natural frequency of the large and deep beam. Also, the inertial resistance to rotational acceleration of the beam could not be ignored for the large and deep beam. Investigation is made for these two conditions by the use of Timoshenko's beam theory. This paper presents exact solution of natural frequency, of which shear deformation and rotary inertia effects are included in the analysis. Numbers of mode-shapes become definite if which shear deformation and rotary inertia effects are included in the analysi