FEM Based Modal and Harmonic Response Study of Stepped Shaft Having Cracks and Optimize Using ANN Method
Asha Kumawat *
Department of Mechanical Engineering, Jagdishprasad Jhabarmal Tibrewala University, Jhunjhunu, Rajasthan, India.
K. B. Waghulde
Department of Mechanical Engineering, D. Y. Patil Institute of Technology, Pimpri, Pune, India.
Sanjay Kumawat
Department of Mechanical Engineering, Poornima College of Engineering, Jaipur, Rajasthan, India.
*Author to whom correspondence should be addressed.
Abstract
In the present research study, modal and harmonic response analysis is performed for a stepped shaft made of SS-304 material using the FEM simulation technique. In the present study crack effect is also considered to find the role of cracks during modal analysis. Total six mode shapes are considered in this study and 500 N force is considered for harmonic response analysis. The simulation is performed using Ansys WB based APDL solver. The main outcome for this study is the critical speed of shaft for rotation from 10 RPM to 80K RPM, stress, deformation of the shaft without crack, and with crack. The selected shaft is stepped in nature, total length of shaft is 300 mm having three diameters of 20 mm, 40 mm, and 60 mm. The natural frequency for all six node shapes is from 1000 Hz to 4000 Hz having deformation from 15 mm to 30 mm approx for all combinations of crack in the shaft. After all simulation it is found that for all mode shapes, the stability and strength of the shaft are good during vibration conditions.
Keywords: FEM, stepped shaft, modal analysis, harmonic response analysis, campbell diagram, critical speed, natural frequency.