Submit your paper : editorIJETjournal@gmail.com Paper Title : A NEW NUMERICAL APPROACH INVESTIGATION FOR BUCKLING AND VIBRATION ANALYSIS OF CRACKED COLUMNS ISSN : 2395-1303 Year of Publication : 2021 10.29126/23951303/IJET-V7I4P12 MLA Style: -Ashutosh Sharma,Mr. Vishal Rawat , " A NEW NUMERICAL APPROACH INVESTIGATION FOR BUCKLING AND VIBRATION ANALYSIS OF CRACKED COLUMNS " Volume 7 - Issue 4 July - August,2021 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org APA Style: -Ashutosh Sharma,Mr. Vishal Rawat " A NEW NUMERICAL APPROACH INVESTIGATION FOR BUCKLING AND VIBRATION ANALYSIS OF CRACKED COLUMNS " Volume 7 - Issue 4 July - August,2021 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org Abstract - In this paper numerical plan for buckling investigation of a section and vibration examination of a shaft is introduced. The shaft and segment is thought to be non-uniform and cracked. Utilizing analytics of varieties the issue is communicated as an enhancement issue. A procedure of improvement is utilized for investigation of buckling load. Thinking about the similitude between the overseeing condition for buckling and free vibration, the crucial recurrence and mode state of the shaft is registered with a similar technique. A few models are settled. The outcomes are contrasted and different techniques. A fantastic understanding was gotten. Reference [1] T. G. Chondoros, A. D. Dimarogonas, and J.Yao "A Continuous Cracked Beam Vibration Theory" Journal of Sound and Vibration (1998) 215(1), 17-34. [2] T. G. Chondoros, A. D. Dimarogonas, and J.Yao "Vibration of a Beam with Breathing Crack" Journal of Sound and Vibration (2001) 239(1), 57-67. [3] E.I. Shifrin and R. Ruotolo "Natural Frequencies of A Beam With an Arbitrary Number of Cracks" Journal of Sound and Vibration (1999) 222(3), 409-423. [4] Bris Bicini "Vibration of Beams with Multiple Open Cracks Subjected to Axial Force" Journal of Sound and Vibration 287(2005), 409-423. [5] M. Behzad, A. Meghdari, and A. Ebrahimi "A New Approach for Vibration Analysis of A Cracked Beam" International Journal of Engineering (2005), 18(4) 319- 330. [6] Q. S. Li "Buckling of Multi-Step Cracked Columns with Shear Deformation" Engineering Structures 23(2001), 356-364. [7] Q. S. Li "Classes of Exact Solutions for Buckling of MultiStep Non-Uniform Columns with An Arbitrary Number of Cracks Subjected to Concentrated and Distributed Axial Loads" International Journal of Engineering Science 41(2003), 569- 586 Keywords —— Buckling, vibration, cracked, nonuniform, beam, column |