Vibration of an axially loaded heterogeneous fixed–fixed beam with an intermediate roller support

Abstract The present paper investigates how an axial load can change the natural frequencies of heterogeneous fixed–fixed beams with intermediate roller support. problem is treated as a three-point boundary value (eigenvalue problem) that paired homogeneous conditions. Green functions are determined for unloaded and pre-loaded well—in later case, both compression tension. With these, eigenvalue problems be transformed into governed by Fredholm integral equations. It then replaced algebraic problem, solved numerically effective solution algorithm which based on element method.