Large amplitude free vibration analysis of tapered timoshenko hinged-hinged beam using coupled displacement field method

• Autorzy: Korabathina R. , Koppanati M. S.
• Języki publikacji: EN

Abstrakty

EN

Tapered beams are more efficient compared to uniform beams as they provide a better distribution of mass and strength and also meet special functional requirements in many engineering applications like architecture, aeronautical, civil, mechanical, automobile, nuclear and robotics. The authors proposed a new method called Coupled Displacement Field (CDF) method in which the displacement field such as total rotation is assumed such that the assumed displacement must satisfy the kinematic and force boundary condition of the beam. The lateral transverse displacement is derived from the coupling equation which is derived from the static equilibrium conditions of the beam. By the application of principle of minimum total potential energy for different beam boundary conditions, the fundamental frequency parameter value is calculated in terms of taper ratio and slenderness ratio for various maximum amplitude ratios of the tapered Timoshenko shear flexible hinged-hinged beam boundary condition.

Słowa kluczowe

EN

large amplitude free vibrations; coupled displacement field method; tapered Timoshenko beams; slenderness ratio; taper ratio

PL

drgania swobodne; metoda CDF; belka Timoshenki; belka stożkowa; współczynnik smukłości; współczynnik stożkowatości

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2017
• Tom: Vol. 28
• Strony: art. no. 2017007
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Korabathina R.

• Jawaharlal Nehru Technological University,Kakinada, AP, India,-533003

autor

Koppanati M. S.

• Jawaharlal Nehru Technological University, Kakinada, AP, India,-533003

Bibliografia

• 1. Abrate, S. Vibration of non-uniform rods and beams, Journal of Sound and Vibration, 185 (4) (1995) 703-716.
• 2. Byoung Koo Lee. et al., Free vibrations of tapered Beams with general boundary condition, (KSCE) Journal of Civil Engineering,6(3) (2002) 283-288.
• 3. De Rosa, M.A. and Auciello, N.M., Free vibrations of tapered beams with flexible ends, Computers & Structures, 60(2) (1996) 197-202.
• 4. De Rosa, M. A., and Lippiello, M., Natural vibration frequencies of Tapered beams, Engineering Transactions, 57(1) (2009) 45-66.
• 5. Firouz-Abadi, R.D.et al., An asymptotic solution to transverse free vibrations of variable-section beams, Journal of Sound and Vibration, 304(2009) 530-540.
• 6. Izabela Zamorska, Free Transverse vibrations of non- Uniform beams, Scientific Research of the Institute of Mathematics and Computer Science,9, Issue 2(2010) 244-250.
• 7. Mahmoud, A. A et al., Free vibrations of uniform and non uniform Euler beam using differential transformation method, Asian Journal of Mathematics and Applications, article id ama0097, (2013) 1-16.
• 8. MeeraSaheb. K. et al., Free vibration analysis of Timoshenko beams using Coupled Displacement Field Method. Journal of Structural Engineering,34 (2007) 233-236.
• 9. Mehmet Cem Ece et.al., Vibration of a variable cross-section beam, Mechanics Research Communications, 34(2007) 78-84.
• 10. Minmao Liao and Hongzhi Zhong., Non-linear Vibration Analysis of Taper Timoshenko beams, Chaos, Solitons and Fractals, 36 (2008) 1267-1272.
• 11. Mohamed Hussien Taha and Samir Abohadima., Mathematical Model for Vibrations of Non-Uniform Flexural Beams, Journal of Engineering Mechanics, 15( 1) (2008) 3-11.
• 12. Rao, G.V. et al., Concept of Coupled Displacement Filed for large amplitude free Vibrations of shear flexible beams, Journal of Vibration and Acoustics (ASME), 128(2006) 251-255.
• 13. Rossi, R.E., and Laura, P.A.A., Numerical Experiments on Vibrating, Linearly Tapered Timoshenko Beams, Journal of Sound and Vibration, 168 (1) (1993) 179-183.
• 14. Stanisław Kukla and Izabela Zamojska., Application of the Green’s function Method in Free Vibration Analysis of Non Uniform Beams, Scientific Research of the Institute of Mathematics and Computer Science, Issue 1, 4 (2005) 87-94.
• 15. Zhou, D., and Cheung, Y.K., The free vibration of a type of tapered beams, Computer Methods in Applied Mechanics and Engineering, 188 (2000) 203-216.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).