Comparison of various higher order shear deformation theories for static and modal analysis of composite beam

International Conference on Mechanical, Materials and Renewable Energy

机械制造;材料科学;能源学

Zia, Yahya Bin^1 ; Khan, Ateeb Ahmad^1 ; Naushad Alam, M.^1

Mechanical Engineering Department, Z.H.C.E.T A.M.U, Aligarh U.P

202002, India^1

关键词: Composite beam;    Distributed loads;    Governing differential equations;    Higher order shear deformation theory;    Laminated composite beam;    Simply supported;    Span-to-thickness ratio;    Third-order theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/377/1/012170/pdf
DOI  :  10.1088/1757-899X/377/1/012170

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

This study deals with comparison of various higher order shear deformation theories including exponential shear deformation beam theory (ESDBT), trigonometric shear deformation beam theory (TSDBT) and hyperbolic shear deformation beam theory (HSDBT) for static and modal analysis of composite beam. Static analysis of generally laminated composite beam with simply supported edges and uniformly distributed load has been performed and solution has been obtained to the governing differential equations derived using Hamilton's principal. The results are obtained by developing MATLAB codes for various theories. These results for test beam are compared with third order theory (TOT). The effect of span to thickness ratio on the accuracy is studied. The exponential shear deformation beam theory (ESDBT) yields more accurate results than other theories for both static and modal analysis of the beam.