Generalized power-law exponent based shear deformation theory for free vibration of functionally graded beams
作者： Karan K. Pradhan , S. Chakraverty
DOI: 10.1016/J.AMC.2015.07.032
关键词:
摘要: Free vibration of functionally graded (FG) beams is presented based on a newly proposed shear deformation theory, PESDBT.The material properties the beam vary along thickness direction according to power-law form.Rayleigh-Ritz method used in modeling obtain eigenfrequency equation.Relationships different theories with PESDBT have also been noticed and incorporated here.Results special cases are compared new results reported. Present study deals free subject sets boundary conditions. The analysis carried out basis generalized exponent theory (PESDBT). exactly satisfies transverse stress conditions bottom top surfaces beam. Material continuously form. displacement components cross-sections expressed simple algebraic polynomials. Rayleigh-Ritz estimate frequency parameters order handle various at edges. objective effects constituent volume fractions, slenderness ratios natural frequencies. New for after checking convergence pattern validation computed previously published theories.
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