Paradigm for natural frequency of an un-cracked simply supported beam and its application to single-edged and multi-edged cracked beam

• Autorzy: Khalkar V.
• Języki publikacji: EN

Abstrakty

EN

In this research paper, a theoretical method of analysis of the first natural frequency of an un-cracked simply supported beam in bending mode is presented. The formula of a paradigm is used to determine the natural frequency of an un-cracked beam. The converged natural frequency formula of a paradigm is then extended to a single edged and multi-edged cracked simply supported beam to evaluate their natural frequency. The main attraction of the proposed method is that it gives one more significant way to the researchers to determine the natural frequency of cracked beams. The limited fatigue strength, defects like corrosion, corrosion-erosion, and corrosion fatigue in the beam are the main causes of formation of edged cracks in beams. Hence the evaluation of natural frequency of cracked beams and its use in the inverse problem is of utmost importance to do the condition monitoring of the structures by the vibration methods.

Słowa kluczowe

EN

paradigm; natural frequency; simply supported beam; ANSYS; modal analysis; zero frequency deflection; condition monitoring

PL

paradygmat; częstotliwość drgań własnych; belka swobodnie podparta; ANSYS; analiza modalna; ugięcie zerowe; monitorowanie stanu technicznego

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2018
• Tom: Vol. 29
• Strony: art. no. 2018028
• Opis fizyczny: Bibliogr. 14 poz., il. kolor., rys., wykr.

Twórcy

autor

Khalkar V.

• Assistant Professor, Gharda Institute of Technology, Khed, Ratnagiri, Maharashtra, India

Bibliografia

• 1. V. Khalkar, S. Ramachandran, Paradigm for natural frequency of an un-cracked cantilever beam and its application to cracked beam, ARPN Journal of engineering and applied sciences, 12(6) (2017) 1714 - 1729.
• 2. K. Vigneshwaran, R. K. Behera, Vibration analysis of a simply supported beam with multiple breathing cracks, Procedia Engineering, 86 (2014) 835 - 842.
• 3. S. Zhong, S. O. Oyadiji, Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass, Journal of Sound and Vibration, 311(1-2) (2008) 328 - 352.
• 4. S. Teidj, A. Khamlichi, A. Driouach, Identification of Beam Cracks by Solution of an Inverse Problem, Procedia Engineering, 22 (2016) 86 - 93.
• 5. S. S. Naik, S. K. Maiti, Special issues related to detection of circumferential crack at different orientations in pipes by vibration method, 14th International Congress on Sound and Vibration, Australia, 1 - 7.
• 6. B. O. Dirr,B. K. Schmalhorst, Crack depth analysis of a rotating shaft by vibration measurement, Proceedings of the ASME Conference, 11th Biennial Conference on Mechanical Vibration and Noise, 607 - 614.
• 7. S. K. Singh, R. Tiwari, Detection and localization of multiple cracks in a shaft system- An experimental investigation, Measurement, 53 (2014) 182 - 193.
• 8. K. Turgut, S. Mesut. Free vibration analysis of Timoshenko beams under various boundary conditions. Journal of Engineering and Natural Sciences, (2005) 108 - 122.
• 9. C .A. Papadopoulos, Torsional vibrations of rotors with transverse surface cracks, Computers and Structures, 51(6) (1994) 713 - 718.
• 10. V. Khalkar, S. Ramachandran, Comparative vibration study of EN 8 and EN 47 cracked cantilever beam, Journal of Vibroengineering, 19(1) (2017) 246 - 259.
• 11. V. Khalkar, S. Ramachandran, Free vibration study of v-shape and rectangular shape double-sided cracks in a cantilever beam, Journal of Vibroengineering, 19(2) (2017) 1026 - 1038.
• 12. V. Khalkar, S. Ramachandran, Study of free undamped and damped vibrations of a cracked cantilever beam, Journal of Engineering Science and Technology, 13(2) (2018) 449 - 462.
• 13. V. Khalkar, S. Ramachandran, The effect of crack geometry on stiffness of spring steel cantilever beam, Journal of low frequency noise, vibration and active control, Sage publication, Accepted for publication.
• 14. ANSYS Release 12.1, ANSYS Inc.