Parametric Study on Thick Plate Vibration Using FSDT

• Autorzy: Kalita, K. , Haldar, S.
• Języki publikacji: EN

Abstrakty

EN

The prime objective of the research is to investigate the influence of various structural parameters like aspect ratio, boundary condition, size of cut-out etc. on the free vibration frequencies of a thick rectangular plate. Plates being one the most common structural elements has always enticed the interest of many researchers towards this problem. In here a general first order shear deformation theory (FSDT) is used to analyse the free vibration behaviour of rectangular isotropic plates. A finite element program has been developed using 9 node isoparametric element. A number of numerical examples are presented here. Two different sets of mass lumping scheme are considered to carry the analysis using and without using rotary inertia. The definite advantage of this work over other similar works done by using FEM pakages is its exceptional accuracy. At most the error calculated for convergence study with published literature is 1%.

Słowa kluczowe

PL

metoda elementów skończonych; bezwładność obrotowa; częstotliwość drgań

EN

finite element method; FSDT; rectangular plate; rotary inertia; natural frequency

• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 19, nr 2
• Strony: 81--90
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Kalita, K.

• Department of Mechanical Engineering MPSTME, SVKM's NarseeMonjeeInstitute of Management Studies Shirpur, Maharashtra, India 425405,

autor

Haldar, S.

• Department of Aerospace Engineering and Applied Mechanics Indian Institute of Engineering Science and Technology, Shibpur Botanic Garden, Dist: Howrah, West Bengal, India - 711103

Bibliografia

• [1] Timoshenko, S. P, and Goodier, J. N.: Theory of elasticity, International Journal of Bulk Solids Storage in Silos, 1.4, 2014.
• [2] Szilard, R.: Theory and analysis of plates, 1974.
• [3] Sokolnikoff, I. S. andSp echt, R. D.: Mathematical theory of elasticity, (Vol. 83), McGraw-Hill, New York, 1956.
• [4] Nomura, S. and Wang, B. P.: Free vibration of plate by integral method, Computers & structures, 32(1), 245-247,1989.
• [5] Leissa, A. W.: Recent research in plate vibrations, 1973-1976: classical theory, Shock and Vibration Inform., Center the Shock and Vibration Digest, 9(10), 13–24, 1978.
• [6] Leissa, A. W.: Recent research in plate vibrations, 1973-1976: complicating effects, Shock and Vibration Inform., Center the Shock and Vibration Digest, 10(12), 21–35, 1978.
• [7] Leissa, A. W.: Plate vibration research, 1976–1980: classical theory, Shock and Vibration Inform., Center the Shock and Vibration Digest, 13(9), 11–22, 1980.
• [8] Leissa, A. W.: Plate vibration research, 1976-1980: complicating effects, Shock and Vibration Inform., Center the Shock and Vibration Digest, 13(10), 19–36, 1980.
• [9] Leissa, A. W.: Plate vibration research, 1981–1985, part I: classical theory, Shock and Vibration Inform. CenterThe Shock and Vibration Digest, 19(2), 11-18, 1987.
• [10] Leissa, A. W.: Plate vibration research, 1981–1985, part II: complicating effects, Shock and Vibration Inform., Center the Shock and Vibration Digest 19(3), 10–24, 1987.
• [11] Liew, K. M., Xiang, Y. and Kitipornchai, S.: Research on thick plate vibration: a literature survey, Journal of Sound and Vibration, 180(1), 163–176, 1995.
• [12] Yamada, G. and Irie, T.: Plate vibration research in Japan, Applied Mechanics Reviews, 40(7), 879–892, 1987.
• [13] Mackerle, J.: Finite element vibration analysis of beams, plates and shells, Shock and Vibration, 6(2), 97–109, 1999.
• [14] Yu, S. D.: Free and forced flexural vibration analysis of cantilever plates with attached point mass, Journal of sound and vibration, 321(1), 270–285, 2009.
• [15] Chalak, H. D., Chakrabarti, A., Sheikh, A. H. and Iqbal, M. A.: C0 FE model based on HOZT for the analysis of laminated soft core skew sandwich plates: bending and vibration, Applied Mathematical Modelling, 38(4), 1211–1223, 2014.
• [16] Bayat, M., Pakar, I. and Bayat, M.: Analytical study on the vibration frequencies of tapered beams, Latin American Journal of Solids and Structures, 8(2), 149–162, 2011.
• [17] Amabili, M. and Carra, S.: Experiments and simulations for large–amplitude vibrations of rectangular plates carrying concentrated masses, Journal of Sound and Vibration, 331(1), 155–166, 2012.
• [18] Dozio, L.: On the use of the Trigonometric Ritz method for general vibration analysis of rectangular Kirchhoff plates, Thin{Walled Structures, 49(1), 129–144, 2011.
• [19] Mantari, J. L., Oktem, A. S. and Soares, C. G.: Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher–order shear deformation theory, Composites Part B: Engineering, 43(8), 3348–3360, 2012.
• [20] Mindlin, R. D.: Influence of rotary inertia and shear on flexural motions of isotropic elastic plates, 1951.