Vibrational Analysis of Uniform and Tapered Steel Cantilever Beams of Different Cross Sections

Beams are very common types of structural components and it can be classified according to their geometric configuration as uniform or taper and slender or thick. If practically analyzed, the non-uniform beams provide a better distribution of mass and strength than uniform beams and can meet special functional requirements in architecture, aeronautics, robotics, and other innovative engineering applications. Beams and beam-like elements are used in many structures and mainly in aircrafts, turbines and light weight structures etc. Design of such structures are important to resist dynamic forces, such as wind and earthquakes and Due to this dynamic forces “Vibrations� can be induced in the structures and these vibrations can adversely affect the structures and can cause cracks in the structure, which ultimately leads to the failure of the structure therefore It requires the basic knowledge of natural frequencies and mode shapes of those structures. In this research work, steel cantilever beams of different cross sections are used such as Rectangular cross section beam, I-section beam and Channel section beam. In this research work, natural frequencies and mode shapes of uniform and tapered section cantilever beams are calculated, with the help of Finite Element Method by using "ANSYS" program.