In-plane Vibration of a Free-clamped Slender Arc of Varying Cross-section

摘要: The free in-plane vibration of a slender arc varying cross-section is analyzed by use the spline interpolation technique. For this purpose, with divided into small elements, displacement each element expressed function 7 degrees unknown coefficients. obtained determining these coefficients such that satisfies equation motion at dividing point and also boundary conditions both ends. In paper, tangential chosen as variable to be solved from sixth-order differential equation, which frequency derived. method applied free-clamped arcs linearly, parabolically exponentially cross-sections; natural frequencies mode shapes are calculated numerically effects on them studied.