Free vibration analysis of multiple cracked uniform and stepped beams using finite element analysis

Abstract

Beams with variable cross-section and material properties are frequently used in aeronautical engineering, mechanical engineering and civil engineering (e.g., rotor shafts, beams, columns and functionally graded beams). Stepped beam-like structures are widely used in various engineering fields, such as robot arm and tall building, etc. Beams are a standout amongst the most usually utilized structural components within various structural elements in numerous engineering applications and experience a wide mixed bag of static and element loads. Fracture may create in beam like structures because of such loads. The progressions of cracks can severely decrease the stiffness of an element and further lead to the failure of the complete structure. Fractures or different blotch in a component of structural type impact its conduct dynamically and transform the coagulate and damping properties. Hence, the frequency occurred naturally and mode pattern of the structure hold data about the position and measurements of the defect. The presence of fracture in the structure are been subjected by the local flexibility which damages the behaviour dynamically of entire structure to a notable degree. Any investigation of these progressions makes it conceivable to inspect the fractures.